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Prog. Theor. Phys. Vol. 41 No. 5 (1969) pp. 1340-1351

[ Full Text PDF : FREE ACCESS (622K) ]

On the Solutions of the Bethe-Salpeter Equation in the Unequal-Mass Wick-Cutkosky Model in the Moving System

Kenji Seto

Department of Physics, Faculty of Science, Hokkaido University, Sapporo

(Received December 16, 1968)

Abstract:

The stereographic projection method is applied to obtain the bound state amplitude in the moving system of the Bethe-Salpeter equation in the unequal-mass Wick-Cutkosky model. The timelike, spacelike, lightlike and spurionlike solutions are derived from the one in the moving system. The normalization properties of these solutions are also discussed.


URL : http://ptp.ipap.jp/link?PTP/41/1340/
DOI : 10.1143/PTP.41.1340

[ Full Text PDF : FREE ACCESS (622K) ] Citation:

References:

  1. K. Seto, Prog. Theor. Phys. 39 (1968), 453[PTP].
  2. R. E. Cutkosky, Phys. Rev. 96 (1954), 1135[APS].
  3. G. C. Wick, Phys. Rev. 96 (1954), 1124[APS].
  4. N. Nakanishi, Prog. Theor. Phys. 38 (1967), 226[PTP].
    See also N. Nakanishi, Phys. Rev. 138 (1965), B1182[APS]; ibid. 147 (1966), 1153[APS].
  5. N. Nakanishi, Phys. Rev. 138 (1965), B1182[APS].
  6. K. Seto, Prog. Theor. Phys. 40 (1968), 605[PTP].
  7. D. Z. Freedman and J. -M. Wang, Phys. Rev. 160 (1967), 1560[APS].
  8. N. Nakanishi, Phys. Rev. 139 (1965), B1401[APS].
  9. N. Nakanishi, Prog. Theor. Phys. 41 (1969), 233[PTP].
  10. N. Nakanishi, Phys. Rev. 140 (1965), B947[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 808-829 :
    Some Mathematical Aspects of Multiple Poles in the Off-Shell Scattering Amplitude
    Masakuni Ida
  2. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1248-1260 :
    O(3,1) Harmonics and Its Application to Bethe-Salpeter Equation
    Kenji Seto
  3. 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
  4. 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
  5. 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
  6. Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 213-237 :
    General, Relativistic, Bound-State Solutions of a Spin-0 and Spin-1/2 Constituent Interacting via Scalar Electrodynamics
    G. B. Mainland
  7. Progress of Theoretical Physics Supplement No.95 (1988) pp. 1-24 :
    Review of the Wick-Cutkosky Model
    Noboru Nakanishi

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