Few-body equations and their solutions in momentum space
Part I - Non Relativistic Fadeev-Like Equations for Three- and Four-Particles
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Keywords
Momentum Space Faddeev Equation Free Propagator Repulsive Core Partial Wave Decomposition
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References
- 1).B.A. Lippmann, J. Schwinger, Phys.Rev.79,469 (1950)Google Scholar
- 2).E.O. Alt, P. Grassberger, W. Sandhas, Nucl.Phys. B2, 167 (1967)Google Scholar
- 3).W. Sandhas, Acta Physica Austriaca, Suppl. IX, 57(1972); in few-body nuclear physics, Trieste lectures, IAEA, Vienna, 1978Google Scholar
- 4).L.D. Faddeev, Sov.Phys.JETP 12,1014 (1961)Google Scholar
- 5).L.D. Faddeev: Mathematical Aspects of the Three-Body Problem in Quantum Scattering Theory (Davey, N.Y. 1965)Google Scholar
- 6).M. Abramowitz, I.A. Stegun: Handbook of Mathematical Functions, Dover Publ.,N.Y., page 890Google Scholar
- 7).W. Glöckle, T.S.H. Lee, F. Coester, Phys.Rev.C33,709 (1986)Google Scholar
- 7a).
- 8).R. Reid, Ann.Phys. 50, 411 (1968)Google Scholar
- 9).K. Erkelenz, Phys.Rep.13C,191 (1974)Google Scholar
- 9a).K. Holinde, Phys.Rep.68C,121 (1981)Google Scholar
- 9b).R. Machleidt, K. Holinde, Ch. Elster, to appear in Phys.Rep. CGoogle Scholar
- 10).M. Lacombe, B. Loisseau, S.M. Richard, R. Vinh Mau, J. Cotê, P. Pirès, R. de Tourreil, Phys.Rev. C21,861 (1980)Google Scholar
- 11).W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer-Verlag, 1983)Google Scholar
- 12).W. Glöckle, G. Hasberg, A.R. Neghabian, Z.Phys.A305,217 (1982)Google Scholar
- 13).R.A. Malfliet, J.A. Tjon, Nucl.Phys.A127,161 (1969)Google Scholar
- 14).W. Glöckle, Nucl.Phys.A381,343 (1982)Google Scholar
- 15).G.L. Payne, private communicationGoogle Scholar
- 16).Th. Cornelius, W. Glöckle, to appear in J. Chem. Phys. (1986)Google Scholar
- 17).A. Bömelburg, Phys.Rev.C28,403 (1983)Google Scholar
- 18).Ch. Hajduk, P.U. Sauer, Nucl.Phys.A369,321 (1981)Google Scholar
- 19).A. Laverne, C. Gignoux, Nucl.Phys.A203,597 (1973)Google Scholar
- 20).G.L. Payne, J.L. Friar, B.F. Gibson, Phys.Rev.C22,832 (1980)Google Scholar
- 21).S. Ishikawa, T. Sasakawa, T. Sawada, T. Ueda, Phys.Rev.Lett.53, 1877 (1984)Google Scholar
- 22).C.R. Chen, G.L. Payne, J.L. Friar, B.F. Gibson, Phys.Rev.Lett.55, 374 (1985)Google Scholar
- 23).T. Sasakawa, S. Ishikawa, Few-Body Systems 1,3 (1986)Google Scholar
- 24).A. Bömelburg, W. Glöckle, Phys.Rev.C28,2149 (1983)Google Scholar
- 25).A. Bömelburg, Phys.Rev.C34,14 (1986)Google Scholar
- 26).S.A. Coon, M.D. Scadron, P.C. McNamee, B.R. Barrett, D.W.E. Blatt, B.H.J. McKellar, Nucl.Phys.A371,242 (1979)Google Scholar
- 27).H.T. Coelho, T.K. Das, M.R. Robilotta, Phys.Rev.C28,1812 (1983)Google Scholar
- 28).H. Tanaka, H. Nagata, Prog.Theor.Phys.Suppl.56,121 (1974)Google Scholar
- 29).A. Bömelburg, private communicationGoogle Scholar
- 30).S.A. Coon, W. Glöckle, Phys.Rev.C23,1790 (1981)Google Scholar
- 31).Ch. Hajduk, P.U. Sauer, Shin Nan Yang, Nucl.Phys.A405,605 (1983)Google Scholar
- 32).R.G. Ellis, S.A. Coon, B.H.J. McKellar, Nucl.Phys.A438,631 (1985)Google Scholar
- 33).J. Holz, W. Glöckle, to be publishedGoogle Scholar
- 34).
- 35).W. Glöckle, R. Brandenburg, Phys.Rev.C27,83 (1983)Google Scholar
- 36).
- 37).W. Glöckle, Nucl.Phys.A141,620 (1970), S.K. Adhikari, W. Glöckle, Phys.Rev.C21,54(1980); F.S. Levin, W. Sandhas, t0 appear in Phys.Rev. C (1986)Google Scholar
- 38).A. Bömelburg, W. Glöckle, W. Meier, in Few-Body Problems in Physics, Vol.II,ed.B. Zeitnitz, North Holland 1984, page 483Google Scholar
- 39).R. Brandenburg, H. Witala, private communicationsGoogle Scholar
- 40).E.W. Schmid, H. Ziegelmann, The Quantum Mechanical Three-Body Problem (Pergamon Press, Oxford 1974)Google Scholar
- 41).W.M. Kloet, J.A. Tjon, Ann.Phys.79, 407 (1973); for extended work see C. Stolk, J.A. Tjon, Nucl.Phys.A295,384(1978)Google Scholar
- 42) a.A. Matsuyama, Phys.Lett. 152B,42 (1985)Google Scholar
- 42) b.A. Matsuyama, T.S.H. Lee, to be publishedGoogle Scholar
- 43).W. Meier, W. Glöckle, Phys.Lett.138B,329 (1984) and W. Meier, PHD Thesis (Bochum 1983 unpublishedGoogle Scholar
- 44).L.P.H. de Goey, T.H.M. v. d. Berg, N. Mulders, H.T.C. Stoof, B.J. Verhaar, W. Glöckle, to appear in Phys.Rev.A and to be publishedGoogle Scholar
- 45).H. Brakhage, Numerische Mathematik 2,183 (1960)Google Scholar
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