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Theory of higher-mass states in e+e annihilation

Теория состояний с большими массами в процессе e+e аннигиляции

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Il Nuovo Cimento A (1965-1970)

Summary

It is pointed out that, within the context of the differential dispersive theory of the ψ/J and its associated excitations one expects further suppressed, higher-mass states in the e+e annihilation channel at massesnm ψ/J,n=2,...,N 0, together with their associated exicitations. Here,N 0 is a number determined by the order,N Dyson, in α in which the Feynman-Schwinger-Tomonaga series for the photon propagator ceases to be reliable.

Riassunto

Si sottolinea che, nel contesto della teoria dispersiva differenziale della particella ψ/J e delle sue eccitazioni associate, ci si aspettano stati ad alta massa ulteriormente soppressi nel canale di annichilazione e+e per massenm ψ/J,n=2, ...,N 0, assieme alle loro eccitazioni associate.N 0 è un numero determinato dall'ordine,N Dyson, in α in cui la serie di Feynman-Schwinger-Tomonaga per il propagatore fotonico non è più attendibile.

Резюме

Отмечается, что в рамках дифференциальной дисперсионной теории ψ/J и их ассоциированных возбуждений ожидается подавление состояний с большими массами в канале e+e аннигиляции при значениях массnm ψ/J,n=2, ...,N 0, а также их ассоциированных возбуждений. ЗдесьN 0 определяется порядком,N Дайсон, по α, в котором ряд Фейнмана-Швингера-Томонага для фотонного пропагатора перестает быть достоверным.

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References

  1. B. F. L. Ward:Phys. Lett.,66 B, 255 (1977).

    Article  ADS  Google Scholar 

  2. J. J. Aubert, U. Becker, J. P. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. C. Ting, S. L. Wu andY. Y. Lee:Phys. Rev. Lett.,33, 1404 (1974);J.-E. Augustin, A. M. Boyarski, M. Breidenbach, F. Bulos, J. T. Dakin, G. J. Feldman, G. E. Fischer, D. Fryberger, G. Hanson, B. Jean-Marie, R. R. Larsen, V. Lüth, H. L. Lynch, D. Lyon, C. C. Morehouse, J. M. Paterson, M. L. Perl, B. Richter, P. Rapidis, R. F. Schwitters, W. M. Tanenbaum, F. Vannucci, G. S. Abrams, D. Briggs, W. Chinowsky, C. E. Friedberg, G. Goldhaber, R. J. Hollebeek, J. A. Kadyk, B. Lulu, F. Pierre, G. H. Trilling, J. S. Whitaker, J. Wiss andJ. E. Zipse:Phys. Rev. Lett.,33, 1406 (1974);G. S. Abrams, D. Briggs, W. Chinowsky, C. E. Friedberg, G. Goldhaber, R. J. Hollebeek, J. A. Kadyk, A. Litke, F. Pierre, B. Sadoulet, G. H. Trilling, J. S. Whitaker, J. Wiss, J. E. Zipse, J.-E. Augustin, A. M. Boyarski, M. Breidenbach, F. Bulos, G. J. Feldman, G. E. Fischer, D. Fryberger, G. Hanson, B. Jean-Marie, R. R. Larsen V. Lüth, H. L. Lynch, D. Lyon, C. C. Morehouse, J. M. Paterson, M. L. Perl, B. Richter, P. Rapidis, R. F. Schwitters, W. Tanenbaum andF. Vannucci:Phys. Rev. Lett.,33, 1453 (1974);J.-E. Augustin, A. M. Boyarski, M. Breidenbach, F. Bulos, J. T. Dakin, G. J. Feldman, G. E. Fischer, D. Fryberger, G. Hanson, B. Jean-Marie, R. R. Larsen, V. Lüth, H. L. Lynch, D. Lyon, C. C. Morehouse, J. M. Paterson, M. L. Perl, B. Richter, R. F. Schwitters, F. Vannucci, G. S. Abrams, D. Briggs, W. Chinowsky, C. E. Friedberg, G. Goldhaber, R. J. Hollebeek, J. A. Kadyk, G. H. Trilling, J. S. Whitaker andJ. E. Zipse:Phys. Rev. Lett.,34, 764 (1975);G. J. Feldman, B. Jean-Marie, B. Sadoulet, F. Vannucci, G. S. Abrams, A. M. Boyarski, M. Breidenbach, F. Bulos, W. Chinowsky, C. E. Friedberg, G. Goldhaber, G. Hanson, D. L. Hartill, A. D. Johnson, J. A. Kadyk, R. R. Larsen, A. M. Litke, D. Lüke, B. A. Lulu, V. Lüth, H. L. Lynch, C. C. Morehouse, J. M. Paterson, M. L. Perl, F. M. Pierre, T. P. Pun, P. Rapidis, B. Richter, R. F. Schwitters, W. Tanenbaum, G. H. Trilling, J. S. Whitaker, F. C. Winkelmann andJ. E. Wiss:Phys. Rev. Lett.,35, 821 (1975).

    Article  ADS  Google Scholar 

  3. B. F. L. Ward:Phys. Rev. Lett.,33, 37, 251 (1974);Differential dispersive approach to large momentum transfer processes, I, SLAC-PUB-1565 (March 1975).

    Article  MathSciNet  ADS  Google Scholar 

  4. W. Bardeen, H. Fritzsch andM. Gell-Mann: inScale and Conformal Symmetry in Hadron Physics, edited byR. Gatto (New York, N. Y., 1973), p. 139. Also, seeR. H. Dalitz: inHigh-Energy Physics, edited byC. De Witt andM. Jacob (New York, N. Y., 1965), p. 287.

  5. B. F. L. Ward, to appear.

  6. B. F. L. Ward:Nuovo Cimento,44 A, 65 (1978).

    Google Scholar 

  7. G. Feldman: e+e annihilation into hadrons at SPEAR, SLAC-PUB-1964 (August 1975).

  8. M. Gell-Mann andF. E. Low:Phys. Rev.,95, 1300 (1954);E. C. G. Stueckelberg andA. Petermann:Helv. Phys. Acta,26, 499 (1953);C. G. Callan jr.:Phys. Rev. D,2, 1541 (1970);K. Symanzik:Comm. Math. Phys.,18, 227 (1970); and inSpringer Tracts in Modern Physics, edited byG. Hohler, Vol.57 (Berlin, 1971), p. 222;S. Weinberg:Phys. Rev. D,8, 3497 (1973);G. 't Hooft:Nucl. Phys.,61 B, 455 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  9. J. Schwinger:Ann. of Phys.,2, 407 (1957);A. Salam andJ. Ward:Nuovo Cimento,11, 568 (1959);S. L. Glashow:Nucl. Phys.,22, 579 (1961);A. Salam andJ. Ward:Phys. Lett.,13, 168 (1964);A. Salam: inElementary Particle Theory, edited byN. Svartholm (New York, N. Y., 1968);S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. R. E. Cutkosky:Journ. Math. Phys.,1, 429 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  11. L. D. Landau:Nucl. Phys.,13, 181 (1959);J. D. Bjorken: Ph. D. Dissertation, Stanford University, unpublished (1959).

    Article  Google Scholar 

  12. B. F. L. Ward:Phys. Rev. D,16, 2638 (1977).

    Article  ADS  Google Scholar 

  13. F. J. Dyson:Phys. Rev.,85, 631 (1952).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. D. C. Hom, L. M. Lederman, H. P. Paar, H. D. Snyder, J. M. Weiss, J. K. Yoh, J. A. Appel, B. C. Brown, C. N. Brown, W. R. Innes, T. Yamanouchi andD. M. Kaplan:Phys. Rev. Lett.,36, 1236 (1976);D. Eartly, G. Giacomelli andK. Pretzl:Phys. Rev. Lett.,36, 1355 (1976).

    Article  ADS  Google Scholar 

  15. D. C. Hom, L. M. Lederman, H. P. Paar, H. D. Snyder, J. M. Weiss, J. K. Yoh, J. A. Appel, B. C. Brown, C. N. Brown, W. R. Innes, T. Yamanouchi, R. J. Engelmann, R. J. Fisk, H. Jöstlein, D. M. Kaplan, R. D. Kephart andR. L. McCarthy:Phys. Rev. Lett,37, 1374 (1976).

    Article  ADS  Google Scholar 

  16. S. W. Herb, D. C. Hom, L. M. Lederman, J. C. Sens, H. D. Snyder, J. K. Yoh, J. A. Appel, B. C. Brown, C. N. Brown, W. R. Innes, K. Ueno, T. Yamanouchi, A. S. Ito, H. Jöstlein, D. M. Kaplan andR. D. Kephart:Phys. Rev. Lett.,39, 252 (1977).

    Article  ADS  Google Scholar 

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Ward, B.F.L. Theory of higher-mass states in e+e annihilation. Nuov Cim A 44, 333–344 (1978). https://doi.org/10.1007/BF02812976

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