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Prog. Theor. Phys. Vol. 40 No. 3 (1968) pp. 628-639

[ Full Text PDF : FREE ACCESS (538K) ]

S-Matrix and Abnormal Solutions of the Bethe-Salpeter Equation

Seiichi Naitô

Department of Physics, University of Tokyo, Tokyo

(Received May 6, 1968)

Abstract:

We consider, in the ladder approximation, the S-matrix for two spinless particles interacting through a massive scalar field. Residues of poles in the S-matrix are expressed in terms of normalized Bethe-Salpeter amplitudes on the mass shell. In particular, residues are evaluated for zero energy-momentum states and some of them are rigorously shown to be non-zero. Furthermore, it is proved in the equal-mass case that residues for massive bound states can be obtained from those for zero energy-moentum boud states, by means of a series expansion in powers of the bound state mass. In other words, any “massive state” of even p0-parity is observable as a pole of the S-matrix, when the corresponding “zero energy-momentum state” has a non-vanishing residue.


URL : http://ptp.ipap.jp/link?PTP/40/628/
DOI : 10.1143/PTP.40.628

[ Full Text PDF : FREE ACCESS (538K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 191-201 :
    Remarks on the Convergence Problem of the Generalized Partial Wave Expansion
    Nobuyuki Murai
  2. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 500-515 :
    Multiple Poles in the Off-Shell Scattering Amplitude
    Seichi Naito

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