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Relativistic quantum mechanics and its applications to few-nucleon systems

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La Rivista del Nuovo Cimento (1978-1999) Aims and scope

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References

  1. P. L. Chung, B. D. Keister andF. Coester:Phys. Rev. C,39, 1544 (1989).

    Article  ADS  Google Scholar 

  2. C. R. Chen, G. L. Payne, J. L. Friar andB. F. Gibson:Phys. Rev. C,31, 2266 (1985).

    Article  ADS  Google Scholar 

  3. T. Sasakawa andS. Ishikawa:Few Body Syst.,1, 3 (1986).b) Y. Wu, S. Ishikawa andT. Sasakawa:Phys. Rev. Lett.,16, 1875 (1990).

    Article  ADS  Google Scholar 

  4. J. L. Friar, B. F. Gibson andG. L. Payne:Phys. Rev. C,37, 1138 (1988).

    Google Scholar 

  5. R. A. Brandenburg, G. S. Chulick, R. Machleidt, A. Picklesimer andR. Thaler:Phys. Rev. C,37, 1245 (1988).

    Article  ADS  Google Scholar 

  6. K. Nakagawa, T. Obinata, M. Wada andI. Arisaka:Progr. Theor. Phys.,82, 226 (1989).

    Article  ADS  Google Scholar 

  7. R. Machleidt, K. Holinde andC. Elster:Phys. Rep.,149, 1 (1987).b) R. Machleidt:Adv. Nucl. Phys.,19, 189 (1989).

    Article  ADS  Google Scholar 

  8. See,e.g., the following papers published inFew Body Syst. Suppl.,2 (1987):J. L. Friar, p. 51;J.-F. Mathiot, p. 103;W. Sandhas, p. 560.

  9. D. Holslin, J. Mc-Aninch, P. A. Quin andW. Haeberli:Phys. Rev. Lett.,61, 1561 (1988).

    Article  ADS  Google Scholar 

  10. See,e.g., the following papers published inPhys. Rev. C,40 (1989):J. Haidenbauer andK. Holinde, p. 2465;T. Hippchen, J. Speth, A. Mikkel andB. Johnson, p. 1316;D. Babdyopadhyay et al., p. 2684.b) M. Clajus et al.: Phys. Lett. B,245, 333 (1990).

  11. M. I. Muchtarova:Yad. Fiz.,49, 338 (1989).

    Google Scholar 

  12. I. L. Friar, B. F. Gibson, D. R. Lehman andG. L. Payne:Phys. Rev. C,25 1616 (1982).

    Article  ADS  Google Scholar 

  13. J. L. Friar, B. F. Gibson, G. L. Payne andC. R. Chen:Phys. Rev. C,34, 1463 (1986);33, 401 (1986).

    Article  ADS  Google Scholar 

  14. E. Hudjimichael:Nucl. Phys. A,508, 161 (1990).

    Article  ADS  Google Scholar 

  15. T. Cornelius, W. Glöckle, J. Haidenbauer, Y. Koike, W. Plessas andH. Witala:Phys. Rev. C,41, 2538 (1990).b) W. Glöckle, H. Witala andTh. Cornelius:Nucl. Phys. A,508, 115c (1990);H. Ruhl et al.: Nucl. Phys. A,524, 377 (1991).c) H. Witala andW. Glöckle:Nucl. Phys. A,528, 48 (1991).d) C. R. Chen, G. L. Payne, J. L. Friar andB. F. Gibson:Phys. Rev. C 44, 50 (1991).

    Article  ADS  Google Scholar 

  16. R. A. Brandenburg:Few Body Syst.,3, 59 (1987).

    Article  ADS  Google Scholar 

  17. H. Witala, W. Glöckle andTh. Kornelius:Few Body Syst.,5, 89 (1989).b) H. Witala, Th. Kornelius andW. Glöckle:Nucl. Phys. A,491, 157 (1989)

    Article  ADS  Google Scholar 

  18. J. Cub, E. Finckh, H. Frieß, G. Fuchs, K. Gebhardt, K. Geisdorfer, R. Lin andJ. Strate:Few Body Syst.,6, 151 (1989).

    Article  ADS  Google Scholar 

  19. C. R. Chen, G. L. Payne, J. L. Friar andB. F. Gibson:Phys. Rev. C,33, 1740 (1986).

    Article  ADS  Google Scholar 

  20. The Three-Body Force in the Three-Nucleon Systems., Lect. Notes Phys.,260 (1986).b) B. F. Gibson andB. H. J. McKellar:Few Body Syst.,3, 143 (1988).

  21. W. N. Polyzou andW. Glöckle:Few Body Syst.,9, 97 (1990).

    Article  ADS  Google Scholar 

  22. Yu. S. Kalashnikova, I. M. Narodetskii andV. P. Yurov:Yad. Fiz.,49, 632 (1989).

    Google Scholar 

  23. Yu. A. Simonov:Nucl Phys. A,416, 109c (1984).

    Article  ADS  Google Scholar 

  24. I. M. Narodetskii:Many-quark states and interaction of hadrons. Preprint ITEP-69, Preprint ITEP-90 (1988).b) I. M. Narodetskii andYu. S. Kalashnikova:Few Body Syst.,4, 115 (1988).

  25. A. G. Baryshnikov, L. D. Blochintsev, I. M. Narodetskii andD. A. Savin:Yad. Fiz.,48, 1273 (1988).

    Google Scholar 

  26. H. Dijk andB. L. G. Bakker:Nucl Phys. A,494, 438 (1989).

    Article  ADS  Google Scholar 

  27. V. G. Neudatchin, I. T. Obuchovsky, V. I. Kukulin andF. Golovanova:Phys. Rev. C,11, 128 (1975).

    Article  ADS  Google Scholar 

  28. V. M. Krasnopolsky, V. I. Kukulin, V. N. Pomerantsev andP. B. Sazonov:Phys. Lett. B,135, 20 (1984);165, 7 (1985).

    Article  ADS  Google Scholar 

  29. V. I. Kukulin, V. M. Krasnopolsky, V. N. Pomerantsev andP. B. Sazonov:Yad. Fiz.,43, 559 (1986).

    Google Scholar 

  30. Yu. L. Dorodnych, V. G. Neudatchin andN. I. Yudin:Yad. Fiz.,48, 1796 (1988).b) Yu. L. Dorodnych, V. G. Neudatchin, I. T. Obuchovsky andN. I. Yudin:Yad. Fiz.,52, 1214 (1990).c) V. G. Neudatchin, N. P. Yudin, Yu. L. Dorodnych andI. T. Obukhovsky:Phys. Rev. C,43, 2499 (1991).

    Google Scholar 

  31. B. G. Kaganov, V. I. Kukulin, V. M. Krasnopolsky, B. T. Voronchev andV. N. Pomerantsev: inInternational Conference on the Theory of Few Body and Quark-Hadronic Systems (JINR, Dubna, 1987), p. 70.

    Google Scholar 

  32. F. M. Lev andN. S. Ovsiannikov:Yad. Fiz.,50, 1407 (1989).

    Google Scholar 

  33. K. Hahn, P. Doleshall andE. W. Schmid:Phys. Lett. B,169, 118 (1986).

    Article  ADS  Google Scholar 

  34. C. Elster, K. Holinde, D. Shütte andR. Machleidt:Phys. Rev. C,38, 1828 (1988).

    Article  ADS  Google Scholar 

  35. M. Orlowski:Helv. Phys. Acta,56, 1053 (1983).

    Google Scholar 

  36. J. J. Bevelacqua:Rev. Mex. Fis.,29, 203 (1983).

    Google Scholar 

  37. W. Glöckle andL. Muller:Phys. Rev. C,23, 1183 (1981).

    Article  ADS  Google Scholar 

  38. H. Kummel:Phys. Rev. C,27, 765 (1983).

    Article  ADS  Google Scholar 

  39. D. Schutte:Z. Phys. A,326, 383 (1987).

    ADS  Google Scholar 

  40. L. A. Kondratyuk andM. V. Terent'ev:Yad. Fiz.,31, 1087 (1980).

    MathSciNet  Google Scholar 

  41. L. A. Kondratyuk:Relativistic Dynamics of Hadron-Nucleus Interactions and the Structure of Light Nuclei (Doctoral Dissertation, ITEP, Moscow, 1985).

    Google Scholar 

  42. L. L. Frankfurt andM. I. Strikman:Phys. Rep.,76, 215 (1981).b) L. L. Frankfurt andM. I. Strikman:Few Body Syst.,8, 37 (1990).

    Article  ADS  Google Scholar 

  43. L. A. Kondratyuk andM. I. Strikman:Nucl. Phys. A,426, 575 (1984).

    Article  ADS  Google Scholar 

  44. A. I. Ahiezer andV. B. Berestetsky:Quantum Electrodynamics (Nauka, Moscow, 1969).

    Google Scholar 

  45. V. B. Berestetsky, E. Lifshits andL. P. Pitaevsky:Relativistic Quantum Theory (Nauka, Moscow, 1968).

    Google Scholar 

  46. T. Barnes andG. I. Chandour:Phys. Lett. B,118, 411 (1982).

    Article  ADS  Google Scholar 

  47. M. G. Olsson andK. J. Miller:Phys. Rev. D,28, 674 (1983).

    Article  ADS  Google Scholar 

  48. S. Jacobs, M. G. Olsson andC. J. Suchyta:Phys. Rev. D,35, 2448 (1987).

    Article  ADS  Google Scholar 

  49. A. de Rujula, H. Georgi andS. L. Glashow:Phys. Rev. D,12, 147 (1975).

    Article  ADS  Google Scholar 

  50. F. E. Glose:An Introduction to quarks and partons (Academic Press, London, New York, San Francisco, 1979).

    Google Scholar 

  51. S. N. Gupta andS. F. Radford:Phys. Rev. D,24, 2308 (1981).

    ADS  Google Scholar 

  52. L. D. Landau andE. M. Lifshits:Field Theory (Nauka, Moscow, 1973).

    MATH  Google Scholar 

  53. S. Okubo:Progr. Theor. Phys.,12, 603 (1954).

    Article  MathSciNet  ADS  Google Scholar 

  54. G. Hasberg andH. Kummel:Phys. Rev. C,33, 1367 (1986).

    Article  ADS  Google Scholar 

  55. B. D. Serot andJ. D. Walecka:Advances in Nuclear Physics, edited byJ. W. Negele andE. Vogt, Vol.16 (Plenum Press, New York, 1985).

    Google Scholar 

  56. A. R. Bodmer andC. E. Price:Nucl. Phys. A,505, 123 (1989).

    Article  ADS  Google Scholar 

  57. J. H. Schwarz:Phys. Rep.,89, 223 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  58. N. P. Klepikov andA. N. Shatny:Teor. Mat. Fiz.,46, 50 (1981).

    Article  Google Scholar 

  59. S. N. Sokolov:Coordinates in Relativistic Hamiltonian Mechanics, inProceedings of the VII Seminar on Problems in High Energy Physics and Quantum Field Theory (IHEP, Protvino, 1984), p. 85.

    Google Scholar 

  60. A. Barut andR. Raczka:Theory of Group Representations and Applications (PWN-Polish Scientific Publishers, Warszawa, 1977).

    MATH  Google Scholar 

  61. N. N. Bogoliubov andD. V. Shirkov:Introduction into the Theory of Quantized Fields (Nauka, Moscow, 1976).

    Google Scholar 

  62. P. A. M. Dirac:Rev. Mod. Phys.,21, 392 (1949).

    Article  MathSciNet  ADS  Google Scholar 

  63. S. N. Sokolov:Teor. Mat. Fiz.,23, 355 (1975).

    Article  Google Scholar 

  64. S. N. Sokolov:Teor. Mat. Fiz.,36, 193 (1978).

    Article  Google Scholar 

  65. F. Coester andW. N. Polyzou:Phys. Rev. D,26, 1348 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  66. U. Mutze: Habilitationschrift, University of München, 1982;Phys. Rev. D,29, 2255 (1984).

  67. D. G. Currie, T. F. Jordan andE. C. G. Sudarshan:Rev. Mod. Phys.,35, 350 (1963).b) Li Fu-Bin:J. Math. Phys.,31, 1395 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  68. R. Marnelius:Phys. Rev. D,10, 2535 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  69. Ph. Droz-Vincent:Rep. Math. Phys.,8, 79 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  70. J. Martin andJ. L. Sanz:J. Math. Phys.,19, 780 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  71. D. Hirondel:J. Math. Phys.,20, 104 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  72. F. Rohrlich:Ann. Phys.,117, 292 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  73. Ph. Droz-Vincent:Nuovo Cimento A,58, 355 (1980).

    Article  ADS  Google Scholar 

  74. N. P. Klepikov andA. N. Shatny:Development of the concept of direct interaction in relativistic physics, VINITI, N. 3335 rep. (Moscow, 1981).

  75. R. P. Gaida:Part. Nucl.,13, 427 (1982).

    Google Scholar 

  76. R. P. Gaida, Yu. B. Kluchkovsky andV. I. Tretyak:Relativistic Lagrangian Mechanics and Other Approaches in the Direct Interaction Theory, inProceedings of the VII Seminar on Problems of High Energy Physics and Quantum Field Theory (IHEP, Protvino, 1984), p. 99.

    Google Scholar 

  77. A. A. Majorov, S. N. Sokolov andV. I. Tretyak: Preprint IHEP, DTP243 (1986).

  78. A. A. Duviryak andYu. B. Kluchkovsky:Covariant Coordinates in the Relativistic Hamiltonian Mechanics of Particle Systems, Preprint no. 10 (Lvov, 1988).

  79. Yu. G. Yaremko:Relativistic Lagrangian Mechanics of N-Particle Systems in the Terms of Center of Mass Variables, Preprint no. 14 (Lvov, 1988).

  80. Ph. Droz-Vincent:Ann Inst. H. Poincaré. Phys. Theor.,50, 187 (1989).

    MathSciNet  Google Scholar 

  81. E. Llosa (Editor):Relativistic Action at a Distance: Classical and Quantum Aspects. Proceedings of the Workshop, Barcelona, 1981, Lect. Notes Phys.,162, (1982).

  82. G. Longhi andL. Lusanna (Editors):Constraint's Theory and Relativistic Dynamics.Proceedings of the Workshop, Firenze, 1986 (World Scientific Publications, Singapore, 1987).

    Google Scholar 

  83. Yu. S. Vladimirov andA. Yu. Turygin:Theory of direct interparticle interaction (Energoatomizdat, Moscow, 1986).

    Google Scholar 

  84. E. E. Salpeter andH. A. Bethe:Phys. Rev.,84, 232 (1951).

    MathSciNet  ADS  Google Scholar 

  85. A. A. Logunov andA. N. Tavkhelidze:Nuovo Cimento,29, 380 (1963).

    Article  MathSciNet  Google Scholar 

  86. V. G. Kadyshevsky:Nucl. Phys. B,6, 125 (1968).

    Article  ADS  Google Scholar 

  87. R. Blankenbecler andS. Sugar:Phys. Rev.,142, 1051 (1966).

    Article  MathSciNet  ADS  Google Scholar 

  88. F. Gross:Phys. Rev.,186, 1448 (1969);Phys. Rev. D,10, 223 (1974);Phys. Rev. C,26, 2203 (1982).

    Article  ADS  Google Scholar 

  89. I. T. Todorov:Phys. Rev. D,10, 2351 (1971).

    Article  ADS  Google Scholar 

  90. S. Weinberg:Phys. Rev.,150, 1313 (1966).

    Article  ADS  Google Scholar 

  91. G. P. Lepage andS. J. Brodsky:Phys. Rev. D,22, 2157 (1980).

    Article  ADS  Google Scholar 

  92. J. M. Namyslowski:Progr. Part. Nucl. Phys.,14, 49 (1984).

    Article  ADS  Google Scholar 

  93. V. G. Kadyshevsky:Zh. Eksp. Teor. Fiz.,46, 654, 872 (1964);b) V. G. Kadyshevsky, R. M. Mir-Kasimov andN. B. Skachkov:Yad. Fiz.,9, 219, 462 (1969).

    Google Scholar 

  94. V. G. Kadyshevsky, R. M. Mir-Kasimov andN. B. Skachkov:Part. Nucl.,2, 635 (1972).

    Google Scholar 

  95. V. A. Karmanov:Zh. Eksp. Teor. Fiz.,71, 399 (1976).

    Google Scholar 

  96. N. M. Atakishiyev, R. M. Mir-Kasimov andSh. M. Nagiev:J. Phys. G,4, 1201 (1978).

    Article  ADS  Google Scholar 

  97. M. G. Fuda:Phys. Rev. C,35, 226 (1987);36, 702 (1987).

    Article  ADS  Google Scholar 

  98. E. H. de Groot andTh. W. Ruijgrok:Nucl. Phys. B,101, 95 (1975).

    Article  ADS  Google Scholar 

  99. Th. W. Ruijgrok:Relativistic Quantum Mechanics, in:B. Jancewicz andJ. Lukierski (Editors):Quantum Theory of Particles and Fields (World Scientific Publications, Singapore, 1983), p. 117.

    Google Scholar 

  100. E. H. de Groot andTh. W. Ruijgrok:Relativistic Coulomb Scattering. The work presented to the XXV International School on Theoretical Physics in Zakopane (Poland, 1985).

  101. S. Morioka andI. R. Afnan:Phys. Rev. C,23, 852 (1981).

    Article  ADS  Google Scholar 

  102. A. Ahmadzadeh andJ. A. Tjon:Phys. Rev.,147, 1111 (1966).

    Article  ADS  Google Scholar 

  103. R. Aaron, R. D. Amado andJ. E. Young:Phys. Rev.,174, 2022 (1968).

    Article  ADS  Google Scholar 

  104. H. Garcilazo:J. Math. Phys.,27, 2576 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  105. H. Garcilazo:Phys. Rev. C,35, 1804 (1987).

    Article  ADS  Google Scholar 

  106. A. N. Safronov:Three-Dimensional Relativistic Covariant Formution of Relativistic Three-Body Problem, VINITI, N. 2036 rep. (Moscow, 1987).

  107. Y. Avishai andT. Mizutani:Nucl. Phys. A,326, 352 (1979).

    Article  ADS  Google Scholar 

  108. T. I. Kopaleishvili:Part. Nucl.,10, 167 (1979).b) T. I. Kopaleishvili andA. I. Machavariani:Ann. Phys.,175, 1 (1987).

    Google Scholar 

  109. B. Blankleider andR. I. Afnan:Phys. Rev. C,24, 1572 (1981).

    Article  ADS  Google Scholar 

  110. A. W. Thomas andR. H. Landau:Phys. Rep.,58, 121 (1980).

    Article  ADS  Google Scholar 

  111. A. S. Rinat, Y. Starkand andE. Hammel:Nucl. Phys. A,364, 486 (1981).

    Article  ADS  Google Scholar 

  112. W. A. Schnizer andW. Plessas:Phys. Rev. C,41, 1095 (1990).b) C. G. Fasano andT. S.-H. Lee:Nucl. Phys. A,513, 442 (1990).

    Article  ADS  Google Scholar 

  113. L. A. Kondratyk andF. M. Lev:Yad. Fiz.,23, 1056 (1976);27, 831 (1978).b) L. A. Kondratyuk, F. M. Lev andL. V. Shevchenko:Yad. Fiz.,36, 309 (1982).

    Google Scholar 

  114. F. M. Lev:Yad. Fiz.,37, 1058 (1983).

    Google Scholar 

  115. A. Chodos, R. L. Jaffe, K. Johnson et al.:Phys. Rev. D,9, 3471 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  116. A. Picklesimer andP. C. Tandy:Phys. Rev. C,34, 1860 (1986).

    Article  ADS  Google Scholar 

  117. A. O. Barut andL. S. Strobel:Few Body Systems,1, 167 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  118. P. N. Bogoliubov andA. E. Dorohov:Part. Nucl.,18, 917 (1987).

    Google Scholar 

  119. W. Glöckle, Y. Nogami andI. Fukui:Phys. Rev. D,35, 584 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  120. B. Bakamdjian andL. H. Thomas:Phys. Rev.,292, 1300 (1953).

    Article  ADS  Google Scholar 

  121. R. Fong andJ. Suher:J. Math. Phys.,5, 456 (1964).

    Article  ADS  Google Scholar 

  122. H. Osborn:Phys. Rev.,176, 1514 (1968).

    Article  ADS  Google Scholar 

  123. F. Goester:Helv. Phys. Acta,38, 7 (1965).

    MathSciNet  Google Scholar 

  124. S. N. Sokolov:Doklady Akademii Nauk SSSR,233, 575 (1977).

    MathSciNet  Google Scholar 

  125. K. Bardakci andM. B. Halpern:Phys. Rev.,176, 1686 (1968).b) M. V. Terent'ev:Yad. Fiz.,24, 207 (1976).c) H. Leutwyler andJ. Stern:Ann. Phys.,112, 94 (1978);Nucl. Phys. B,133, 115 (1978).d) M. G. Fuda:Phys. Rev. C,36, 1489 (1987).e) M. G. Fuda:Ann. Phys.,197, 265 (1990).

    Article  ADS  Google Scholar 

  126. V. B. Berestetskii andM. V. Terent'ev:Yad. Fiz.,24, 1044 (1976).

    Google Scholar 

  127. B. L. G. Bakker, L. A. Kondratyuk andM. V. Terent'ev:Nucl. Phys. B,158, 497 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  128. F. M. Lev:Three-Body Problem in Relativistic Quantum Mechanics, VINITI, N. 2492 rep. (Moscow, 1981).

  129. P. I. Gudavadze, T. I. Kopaleishvili andA. I. Machavariani:Proceedings of Tbilisi University,242, 153 (1983).

    Google Scholar 

  130. F. M. Lev:Foktschr. Phys.,31, 75 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  131. F. Coester: ref. [82], p. 157.

    Google Scholar 

  132. S. N. Sokolov andA. N. Shatny:Teor. Mat. Fiz.,37, 291 (1978).

    Article  Google Scholar 

  133. F. M. Lev:J. Phys. A,17, 2047 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  134. F. M. Lev:Nucl. Phys. A,433, 605 (1985).

    Article  ADS  Google Scholar 

  135. F. Gross:Nucl. Phys. A,416, 387c (1984).

    Article  ADS  Google Scholar 

  136. F. Goester andW. Wiringa: inFew Body Problem, in Physics, Proceedings of the International IUPAP Conference,2, 343 (1984).

  137. L. L. Foldy andR. A. Krajcik:Phys. Rev. D,12, 1700 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  138. U. Mutze: private communication of January 25, 1986.

  139. W. N. Polyzou:Ann. Phys.,193, 367 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  140. B. D. Keister andW. N. Polyzou:Adv. Nucl. Phys.,20, 226 (1991).

    Google Scholar 

  141. F. Coester:From Fundamental Fields to Constituent Quarks and Nucleon Formfactors, Preprint Argonne National Laboratory PHY-6747-TH-90 (Argonne, 1990).

  142. a)S. J. Brodsky, R. Roskies andR. Suaya:Phys. Rev. D,8, 4574 (1973).b)S. J. Brodsky, F. E. Close andJ. F. Gunion:Phys Rev. D,29, 3678 (1973).

    Article  ADS  Google Scholar 

  143. a)E. P. Wigner:Ann. Math.,40, 1 (1939);Proc. Am. Phil. Soc.,93, 521 (1949);Rev. Mod. Phys.,29, 255 (1957);b)Yu. V. Novozhylov:Introduction into the Theory of Elementary Particles, (Nauka, Moscow, 1972).

    Article  MathSciNet  Google Scholar 

  144. H. Melosh:Phys. Rev. D,9, 1095 (1974).

    Article  ADS  Google Scholar 

  145. Yu. M. Shirokov:Zh. Eksp. Teor. Fiz.,35, 1005 (1958).

    Google Scholar 

  146. A. Macfarlane:J. Math. Phys.,4, 490 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  147. A. McKerral:Nuovo Cimento,34, 1289 (1964).

    Article  Google Scholar 

  148. L. D. Faddeev:Mathematical Aspects of the Quantum Scattering Theory for System of Three Particles, Proceedings of the Steklov Mathematical Institute,69, 1 (1963).

    MathSciNet  Google Scholar 

  149. L. D. Faddeev:Proceedings of the Steklov Mathematical Institute,73, 292 (1964).

    MathSciNet  Google Scholar 

  150. V. A. Karmanov:Nucl. Phys. B,166, 378 (1980);Nucl. Phys. A,362, 331 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  151. V. A. Karmanov:Part. Nucl.,19, 525 (1988).

    Google Scholar 

  152. V. A. Karmanov:Zh. Eksp. Teor. Fiz. Lett.,35, 220 (1982).

    Google Scholar 

  153. I. S. Shapiro:Doklady Akademii Nauk SSSR,106, 647 (1956);Zh. Eksp. Teor. Fiz.,43, 1727 (1962).

    MathSciNet  Google Scholar 

  154. E. Eichten andF. L. Feinberg:Phys. Rev. D,23, 2724 (1981).

    Article  ADS  Google Scholar 

  155. D. Gromes:Z. Phys. C,26, 401 (1984).

    Article  ADS  Google Scholar 

  156. Yu. M. Shirokov:Zh. Eksp. Teor. Fiz.,36, 474 (1959).

    MathSciNet  Google Scholar 

  157. L. D. Faddeev:Usp. Fiz. Nauk,136, 435 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  158. G. E. Brown, A. D. Jackson andT. T. S. Kuo:Nucl. Phys. A,133, 481 (1969).

    Article  ADS  Google Scholar 

  159. L. A. Kondratyuk, J. Vogelzang andM. S. Fanchenko:Phys. Lett. B,98, 405 (1981).

    Article  ADS  Google Scholar 

  160. A. I. Veselov andL. A. Kondratyuk:Yad. Fiz,36, 343 (1982).

    Google Scholar 

  161. W. Glöckle, T. S.-H. Lee andF. Goester:Phys. Rev. C,33, 709 (1986).

    Article  ADS  Google Scholar 

  162. F. Coester: private communication of 15.08.1989.

  163. S. N. Sokolov:Rep. Math. Phys.,20, 235 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  164. S. N. Sokolov:General Solution of the Many-Channel Inverse Scattering Problem, IHEP DTP 79-139 (Serpukhov, 1979).

  165. M. Chemtob:Nucl. Phys. A,314, 387 (1979);336, 299 (1980);382, 317 (1982).

    Article  ADS  Google Scholar 

  166. A. Fernandez-Pacheco, J. A. Grifols andI. Schmidt:Nucl. Phys. B,151, 518 (1979).

    Article  ADS  Google Scholar 

  167. M. A. Braun:Yad. Fiz.,42, 818 (1985).

    Google Scholar 

  168. H. Osborn:Nucl. Phys. B,38, 429 (1972).

    Article  ADS  Google Scholar 

  169. R. V. Reid:Ann. Phys.,50, 411 (1968).

    Article  ADS  Google Scholar 

  170. M. Lacomb et al.:Phys. Rev. C,21, 861 (1980);Phys. Lett. B,101, 139 (1981).

    Article  ADS  Google Scholar 

  171. S. Galster et al.:Nucl. Phys. B,32, 221 (1971).

    Article  ADS  Google Scholar 

  172. H. Hacene: Ph. D. Thesis, University of Paris, 1986.

  173. F. Coester andA. Ostebee:Phys. Rev. C,11, 1836 (1975).

    Article  ADS  Google Scholar 

  174. L. L. Frankfurt andM. I. Strikman:Nucl. Phys. B,148, 107 (1979).

    Article  ADS  Google Scholar 

  175. R. G. Arnold, C. E. Carlson andF. Gross:Phys. Rev. C,21, 1426 (1980).

    Article  ADS  Google Scholar 

  176. M. J. Zuilhof andJ. A. Tjon:Phys. Rev. C,24, 1734 (1981).

    Article  Google Scholar 

  177. a)S. Gurvitz: Preprint Weizman Institute of Science. WIS-81/47. Rehovot 1981.b)R. S. Bhalerao andS. Gurvitz:Phys. Rev. C,24, 2773 (1981).

  178. O. Espinosa andI. Schmidt:Phys. Rev. D,35, 939 (1987).

    Article  ADS  Google Scholar 

  179. A. Faessler:Nucl. Phys. A,496, 621 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  180. B. Mosconi andR. Ricci:Few Body Syst.,6, 63 (1989).

    Article  ADS  Google Scholar 

  181. S. Platchkov et al.:Nucl. Phys. A,510, 748 (1990).

    Article  ADS  Google Scholar 

  182. G. Rupp andJ. A. Tjon:Phys. Rev. C,41, 472 (1990).

    Article  ADS  Google Scholar 

  183. A. F. Krutov andV. E. Troitski:On one method of relativistic description of the deuteron, Preprint NIIYaF MGU-88-40/61, Moscow, 1988.

  184. J. L. Friar:Ann. Phys.,81, 332 (1973);Phys. Rev. C,20, 325 (1979),22, 796 (1980).

    Article  ADS  Google Scholar 

  185. M. Kohno:J. Phys. G,9, L85 (1983).

    Article  ADS  Google Scholar 

  186. R. W. Berard et al.:Phys. Lett. B,47, 355 (1973).

    Article  ADS  Google Scholar 

  187. G. G. Simon, Ch. Schmidt andV. H. Walter:Nucl. Phys. A,364, 285 (1981).

    Article  ADS  Google Scholar 

  188. J. P. McTavish:J. Phys. G,8, 911 (1982).

    Article  ADS  Google Scholar 

  189. S. Klarsfeld et al.:Nucl. Phys. A,456, 373 (1986).

    Article  ADS  Google Scholar 

  190. N. L. Rodning, L. D. Knutson, W. G. Lynch andM. B. Tsang:Phys. Rev. Lett.,49, 909 (1982).

    Article  ADS  Google Scholar 

  191. J. I. Friar andS. Fallieros:Phys. Rev. C,29, 232 (1984).

    Article  ADS  Google Scholar 

  192. I. I. Belyantsev, V. A. Romanov andS. V. Trubnikov:Izv. Akad. Nauk SSSR, Ser. Phys.,49, 852 (1985).

    Google Scholar 

  193. E. M. Nyman andD. O. Riska:Nucl. Phys. A,468, 473 (1987).

    Article  ADS  Google Scholar 

  194. A. I. Veselov et al.:Yad. Fiz.,44, 21 (1986).

    Google Scholar 

  195. S. N. Mukherjee, S. Radhey andS. Rama:Progr. Theor. Phys.,71, 1436 (1984).

    Article  ADS  Google Scholar 

  196. a)M. Gari, H. Hyuga andB. Sommer:Phys. Rev. C,14, 2196 (1976);b)R. Dymarz andF. C. Khanna:Nucl. Phys. A,516, 549 (1990);Phys. Rev. C,41, 2438 (1990).

    Article  ADS  Google Scholar 

  197. F. Gross:Phys. Rev.,140, 410 (1965).

    Article  ADS  Google Scholar 

  198. B. H. Kellet:Ann. Phys.,87, 60 (1974);Phys. Rev. D,10, 2269 (1974).

    Article  ADS  Google Scholar 

  199. P Gnadig et al.:Phys. Lett. B,48, 62 (1976).

    Article  ADS  Google Scholar 

  200. A. Salam andJ. Strathdee:Phys. Rev. D,18, 4596 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  201. R. Szwed:Phys. Rev. D,14, 4323 (1979).

    Google Scholar 

  202. M. Wadati, H. Matsumoto andH. Umezawa:Phys. Rev. D,18, 1192 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  203. F. Ravndal:Phys. Lett. B,113, 57 (1982).

    Article  ADS  Google Scholar 

  204. W. Strueve, Ch. Hajduk, P. U. Sauer andW. Theis:Nucl. Phys. A,465, 651 (1987).

    Article  ADS  Google Scholar 

  205. W. Strueve, Ch. Hajduk andP. H. Sauer:Nucl. Phys. A,405, 620 (1983).

    Article  ADS  Google Scholar 

  206. M. Maize andY. E. Kim:Nucl. Phys. A,407, 507 (1983).

    Article  ADS  Google Scholar 

  207. F. M. Lev:Yad. Fiz.,45, 26 (1987);47, 1571 (1988).

    Google Scholar 

  208. Ch. Hajduk, A. M. Green andM. E. Sainio:Nucl. Phys. A,337, 13 (1980).

    Article  ADS  Google Scholar 

  209. H. Garcilazo, L. Mathelitsch andH. Zankel:Phys. Rev. C,32, 264 (1985).

    Article  ADS  Google Scholar 

  210. T. Katayama andN. Sakai:Few Body Problems in Physics, Proceedings of the X International IUPAP Conference,2, 437 (1984).

    Google Scholar 

  211. P. Holdhammer:Phys. Rev. C,29, 1444 (1984).

    Article  ADS  Google Scholar 

  212. J. L. Ballot:Few Body Syst. Suppl.,1, 140 (1986).

    Article  Google Scholar 

  213. Y. Akaishi:Few Body Syst. Suppl.,2, 64 (1987).

    Article  ADS  Google Scholar 

  214. V. B. Berestetskii andM. V. Terent'ev:Yad. Fiz.,25, 653 (1977).

    Google Scholar 

  215. B. L. G. Bakker, L. A. Kondratyuk andM. V. Terent'ev:On the Formulation of Two-and Three-Body Relativistic Equations Employing Light-Front Dynamics, Preprint ITEP-27 (Moscow, 1979).

  216. P. E. T. Jorgensen:Operators and Representation Theory.North-Holland Math Studies,147 (North-Holland, Amsterdam, 1988).

    MATH  Google Scholar 

  217. N. Ya. Vilenkin:Combinatorics (Nauka, Moscow, 1965).

    Google Scholar 

  218. U. Mutze:J. Math. Phys.,19, 231 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  219. U. Mutze:J. Phys. A,11, 665 (1978).

    Article  ADS  Google Scholar 

  220. M. A. Naimark:Normalized Rings (Nauka, Moscow, 1968).

    Google Scholar 

  221. T. Kato andS. T. Kuroda:Rocky Mount. J. Math.,1, 127 (1971).

    Article  MathSciNet  Google Scholar 

  222. J. Dixmier:Les algébres d'operateurs dans l'espace hilbertien (Gauthier-Villars, Paris, 1969).

    MATH  Google Scholar 

  223. A. N. Kolmogorov andS. V. Fomin:Elements of the function theory and functional analysis (Nauka, Moscow, 1976).

    Google Scholar 

  224. F. M. Lev:J. Phys. A,18, L975 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  225. F. M. Lev:Properties of separability of packing operators in relativistic quantum mechanics, VINITI, N. 3383 rep. (Moscow, 1981).

  226. E. Nelson:Ann. Math.,70, 572 (1959).

    Article  Google Scholar 

  227. V. B. Belyaev:Lectures on the theory of few body systems, (Energoatomizdat, Moscow, 1986).

    Google Scholar 

  228. V. S. Bhasin, H. Jacob andA. N. Mitra:Phys. Rev. D 1, 3496 (1970).

    Article  ADS  Google Scholar 

  229. A. D. Jackson andJ. A. Tjon:Phys. Lett. B,32, 9 (1970).

    Article  ADS  Google Scholar 

  230. H. Baier, H. Hammel andA. S. Rinat:Phys. Lett. B,85, 193 (1979).

    Article  ADS  Google Scholar 

  231. H. Garcilazo:Phys. Rev. C,23, 559 (1981).

    Article  ADS  Google Scholar 

  232. J. A. Tjon:Nucl. Phys. A,463, 157c (1987).

    Article  ADS  Google Scholar 

  233. O. A. Yakubovski:Yad. Fiz.,5, 1312 (1967).

    Google Scholar 

  234. S. P. Merkuriev andS. L. Yakovlev:Doklady Akademii Nauk SSSR,262, 591 (1982).

    MathSciNet  Google Scholar 

  235. A. P. Yuzis andA. A. Bandzajtis:Theory of angular momentum in quantum mechanics (Mokslas, Vilnius, 1977).

    Google Scholar 

  236. A. P. Yuzis, I. B. Levinson andV. V. Vanagas:Mathematical Apparatus of the Angular Momentum Theory (Gospolitizdat, Vilnius, 1960).

    Google Scholar 

  237. J. L. Friar, B. F. Gibson andG. L. Payne:Z. Phys. A,312, 169 (1983).

    Article  ADS  Google Scholar 

  238. L. D. Landau andE. M. Lifshits:Quantum Mechanics (Nauka, Moscow, 1974).

    MATH  Google Scholar 

  239. L. A. Kondratyk, F. M. Lev andV. V. Soloviev:Few Body Syst.,7, 55 (1989).

    Article  ADS  Google Scholar 

  240. A. A. Kvitsinsky, Yu. A. Kuperin, S. P. Merkuriev, A. K. Motovilov andS. L. Yakovlev:Part. Nucl.,17, 267 (1986).

    Article  Google Scholar 

  241. J. Horacek andT. Sasakawa:Phys. Rev. A 28, 2151 (1983);Phys. Rev. C,32, 70 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  242. R. I. Dzibuti andK. V. Shitikova:Part. Nucl.,20, 331 (1989).

    Google Scholar 

  243. F. K. Liu andT. K. Lim:Few Body Syst.,5, 31 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  244. I. A. Shmidt andR. Blankenbecler:Phys. Rev. D,15, 3321 (1977).

    Article  ADS  Google Scholar 

  245. P. V. Landshoff andJ. C. Polkinhorne:Phys. Rev. D,18, 158 (1978).

    ADS  Google Scholar 

  246. M. A. Braun:Yad. Fiz.,32, 1283 (1980).

    Google Scholar 

  247. M. Gourdin:Phys. Rep.,11, 301 (1974).

    Article  Google Scholar 

  248. a)P. L. Chung, F. Coester, B. D. Keister andW. N. Polyzou:Phys. Rev. C,37, 2000 (1988).b)W. N. Polyzou:Nucl. Phys. A,508, 151 (1990).

    Article  ADS  Google Scholar 

  249. I. L. Grach andL. A. Kondratyuk:Yad. Fiz.,39, 316 (1984).

    Google Scholar 

  250. M. I. Strikman andL. L. Frankfurt: inProceedings of the XII LINP Winter School, Vol.2 (Leningrad, 1977), p. 132.

  251. W. Hoogeveen:Investigations in Relativistic Quantum Mechanics, Using the Front Form of Dynamics, Internal. Report 79-5, Vrije University, Amsterdam, 1979.

    Google Scholar 

  252. H. Osborn:Nucl. Phys. B,38, 429 (1972).

    Article  ADS  Google Scholar 

  253. R. V. Reid:Ann. Phys.,50, 411 (1968).

    Article  ADS  Google Scholar 

  254. M. Lacomb et al.:Phys. Rev. C,21, 861 (1980);Phys. Lett. B,101, 139 (1981).

    Article  ADS  Google Scholar 

  255. S. Galster et al.:Nucl. Phys. B,32, 221 (1971).

    Article  ADS  Google Scholar 

  256. H. Hacene: Ph. D. Thesis, University of Paris, 1986.

  257. F. Coester andA. Ostebee:Phys. Rev. C,11, 1836 (1975).

    Article  ADS  Google Scholar 

  258. L. L. Frankfurt andM. I. Strikman:Nucl. Phys. B,148, 107 (1979).

    Article  ADS  Google Scholar 

  259. R. G. Arnold, C. E. Carlson andF. Gross:Phys. Rev. C,21, 1426 (1980).

    Article  ADS  Google Scholar 

  260. M. J. Zuilhof andJ. A. Tjon:Phys. Rev. C,24, 1734 (1981).

    Article  Google Scholar 

  261. a)S. Gurvitz: Preprint Weizman Institute of Science. WIS-81/47. Rehovot 1981.b)R. S. Bhalerao andS. Gurvitz:Phys. Rev. C,24, 2773 (1981).

  262. O. Espinosa andI. Schmidt:Phys. Rev. D,35, 939 (1987).

    Article  ADS  Google Scholar 

  263. A. Faessler:Nucl. Phys. A,496, 621 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  264. B. Mosconi andR. Ricci:Few Body Syst,6, 63 (1989).

    Article  ADS  Google Scholar 

  265. S. Platchkov et al.:Nucl. Phys. A,510, 748 (1990).

    Article  ADS  Google Scholar 

  266. G. Rupp andJ. A. Tjon:Phys. Rev. C,41, 472 (1990).

    Article  ADS  Google Scholar 

  267. A. F. Krutov andV. E. Troitski:On one method of relativistic description of the deuteron, Preprint NIIYaF MGU-88-40/61, Moscow, 1988.

  268. J. L. Friar:Ann. Phys.,81, 332 (1973);Phys. Rev. C.,20, 325 (1979),22, 796 (1980).

    Article  ADS  Google Scholar 

  269. M. Kohno:J. Phys. G,9, L85 (1983).

    Article  ADS  Google Scholar 

  270. R. W. Berard et al.:Phys. Lett. B,47, 355 (1973).

    Article  ADS  Google Scholar 

  271. G. G. Simon, Ch. Schmidt andV. H. Walter:Nucl. Phys. A,364, 285 (1981).

    Article  ADS  Google Scholar 

  272. J. P. McTavish:J. Phys. G,8, 911 (1982).

    Article  ADS  Google Scholar 

  273. S. Klarsfeld et al.:Nucl. Phys. A,456, 373 (1986).

    Article  ADS  Google Scholar 

  274. N. L. Rodning, L. D. Knutson, W. G. Lynch andM. B. Tsang:Phys. Rev. Lett.,49, 909 (1982).

    Article  ADS  Google Scholar 

  275. J. I. Friar andS. Fallieros:Phys. Rev. C,29, 232 (1984).

    Article  ADS  Google Scholar 

  276. I. I. Belyantsev, V. A. Romanov andS. V. Trubnikov:Izv. Akad. Nauk SSSR, Ser. Phys.,49, 852 (1985).

    Google Scholar 

  277. E. M. Nyman andD. O. Riska:Nucl. Phys. A,468, 473 (1987).

    Article  ADS  Google Scholar 

  278. A. I. Veselov et al.:Yad. Fiz.,44, 21 (1986).

    Google Scholar 

  279. S. N. Mukherjee, S. Radhey andS. Rama:Progr. Theor. Phys.,71, 1436 (1984)

    Article  ADS  Google Scholar 

  280. [234]a)M. Gari, H. Hyuga andB. Sommer:Phys. Rev. C,14, 2196 (1976).b)R. Dymarz andF. C. Khanna:Nucl. Phys. A,51 549 (1990);Phys. Rev. C,41, 2438 (1990).

    Article  ADS  Google Scholar 

  281. F. Gross:Phys. Rev.,140, 410 (1965).

    Article  ADS  Google Scholar 

  282. B. H. Kellet:Ann. Phys.,87, 60 (1974);Phys. Rev. D,10, 2269 (1974).

    Article  ADS  Google Scholar 

  283. P. Gnadig et al.:Phys. Lett. B,48, 62 (1976).

    Article  ADS  Google Scholar 

  284. A. Salam andJ. Strathdee:Phys. Rev. D,18, 4596 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  285. R. Szwed:Phys. Rev. D,14, 4323 (1979).

    Google Scholar 

  286. M. Wadati, H. Matsumoto andH. Umezawa:Phys. Rev. D,18, 1192 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  287. F. Ravndal:Phys. Lett. B,113, 57 (1982).

    Article  ADS  Google Scholar 

  288. W. Strueve, Ch. Hajduk, P. U. Sauer andW. Theis:Nucl. Phys. A,465, 651 (1987).

    Article  ADS  Google Scholar 

  289. W. Strueve, Ch. Hajduk andP. U. Sauer:Nucl. Phys. A,405, 620 (1983).

    Article  ADS  Google Scholar 

  290. M. Maize andY. E. Kim:Nucl. Phys. A,407, 507 (1983).

    Article  ADS  Google Scholar 

  291. F. M. Lev:Yad. Fiz.,45, 26 (1987);47, 1571 (1988).

    Google Scholar 

  292. Ch. Hajduk, A. M. Green andM. E. Sainio:Nucl. Phys. A,337, 13 (1980).

    Article  ADS  Google Scholar 

  293. H. Garcilazo, L. Mathelitsch andH. Zankel:Phys. Rev. C,32, 264 (1985).

    Article  ADS  Google Scholar 

  294. T. Katayama andN. Sakai:Few Body Problems in Physics, Proceedings of the X International IUPAP Conference,2, 437 (1984).

    Google Scholar 

  295. P. Holdhammer:Phys. Rev. C,29, 1444 (1984).

    Article  ADS  Google Scholar 

  296. J. L. Ballot:Few Body Syst. Suppl.,1, 140 (1986).

    Article  Google Scholar 

  297. Y. Akaishi:Few Body Syst. Suppl.,2, 64 (1987).

    Article  ADS  Google Scholar 

  298. V. D. Efros: inInternational Conference on the Theory of Few-Body and Quark-Hadronic Systems (JINR, Dubna, 1987), p. 85.

    Google Scholar 

  299. a)D. P. Stanley andD. Robson:Phys. Rev. D,21, 3180 (1980).b)S. Godfrey andN. Isgur:Phys. Rev. D,32, 189 (1985).c)J. L. Basdevant andS. Boukraa:Z. Phys. C,28, 413 (1985);Ann. Phys. (Paris),10, 475 (1985).d)D. Flamm, F. Schoeberl andH. Uemotsu:Nuovo Cimento A,98, 559, (1987).e)W. Lucha, F. F. Schoeberl andD. Gromes:Phys. Rep.,200, 127 (1991).

    Article  ADS  Google Scholar 

  300. a)J. Carlson, J. Kogut andV. R. Pandharipande:Phys. Rev. D,27, 233 (1983).b)J. L. Basdevant andS. Boukraa:Z. Phys. C,30, 103 (1986).

    Article  ADS  Google Scholar 

  301. S. Capstick andN. Isgur:Phys. Rev. D,34, 2809 (1986).

    Article  ADS  Google Scholar 

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Lev, F.M. Relativistic quantum mechanics and its applications to few-nucleon systems. Riv. Nuovo Cim. 16, 1–153 (1993). https://doi.org/10.1007/BF02724481

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