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Prog. Theor. Phys. Vol. 38 No. 1 (1967) pp. 226-245

[ Full Text PDF : FREE ACCESS (817K) ]

General Solutions to the Bethe-Salpeter Equation of the Unequal-Mass Wick-Cutkosky Model

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received March 8, 1967)

Abstract:

General solutions to the Bethe-Salpeter Equation of the Wick-Cutkosky model are obtained in various forms not only for the case in which the total four-momentum of the system is time-like or space-like but also for the case in which it is light-like.


URL : http://ptp.ipap.jp/link?PTP/38/226/
DOI : 10.1143/PTP.38.226

[ Full Text PDF : FREE ACCESS (817K) ] Citation:

References:

  1. G. C. Wick, Phys. Rev. 96 (1954), 1124[APS].
  2. R. E. Cutkosky, Phys. Rev. 96 (1954), 1135[APS].
  3. N. Nakanishi, Phys. Rev. 138 (1965), B1182[APS].
  4. N. Nakanishi, Phys. Rev. 139 (1965), B1401[APS].
  5. N. Nakanishi, Phys. Rev. 140 (1965), B947[APS].
  6. N. Nakanishi, Phys. Rev. 147 (1966), 1153[APS].
  7. D. Z. Freedman and J.-M. Wang, Phys. Rev. Lett. 17 (1966), 569[APS]; Phys. Rev. 153 (1967), 1596[APS].
  8. N. Nakanishi, Prog. Theor. Phys. 37 (1967), 618[PTP].
  9. M. Baker, K. Johnson and B. W. Lee, Phys. Rev. 133 (1964), B209[APS].
  10. A. Erdélyi, Higher Transcendental Functions, Vol. II (McGraw-Hill Co., New York, 1953), pp. 175, 176.
  11. N. Nakanishi, Phys. Rev. 136 (1964), B1830, [APS]Appendix D.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 453-459 :
    On the Normalization of the Bethe-Salpeter Wave Function in the Unequal-Mass Case by Means of the Stereographic Projection Method
    Kenji Seto
  2. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1585-1597 :
    Multiple Poles in the Scattering Green's Function and the Lightlike Limit of the Bethe-Salpeter Amplitude
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 605-619 :
    Relativistic Regge Approach from the Bethe-Salpeter Equation
    Kenji Seto
  4. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 233-251 :
    General Theory of Multiple Poles and Coinciding Simple Poles
    Noboru Nakanishi
  5. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 500-515 :
    Multiple Poles in the Off-Shell Scattering Amplitude
    Seichi Naito
  6. Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 780-787 :
    Coinciding Simple Poles in the Scattering Green's Function
    Noboru Nakanishi
  7. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1340-1351 :
    On the Solutions of the Bethe-Salpeter Equation in the Unequal-Mass Wick-Cutkosky Model in the Moving System
    Kenji Seto
  8. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 909-937 :
    Regge Trajectories in the Wick-Cutkosky Model
    Nobuyuki Murai, Koichi Nakamura and Hiroshi Ezawa
  9. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2066-2076 :
    On the Bethe-Salpeter Amplitudes Obtained by Means of the Stereographic Projection in the Wick-Cutkosky Model
    Noboru Nakanishi
  10. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1014-1026 :
    An Integral Formula for the Unequal-Mass Wick-Cutkosky Model of the Bethe-Salpeter Equation
    Noriaki Setô
  11. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 797-802 :
    On the Eigenvalues of the Wick-Cutkosky Model
    Fujio Tanaka and Noboru Nakanishi
  12. Progress of Theoretical Physics Supplement No.95 (1988) pp. 1-24 :
    Review of the Wick-Cutkosky Model
    Noboru Nakanishi

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