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Prog. Theor. Phys. Vol. 26 No. 4 (1961) pp. 470-482

[ Full Text PDF : FREE ACCESS (649K) ]

On Vertical Representation of Bethe-Salpeter Amplitudes

Masakuni Ida and Kazumi Maki

Department of Physics, Kyoto University, Kyoto

(Received June 8, 1961)

Abstract:

The Bethe-Salpeter equation for S-wave bound states of two scalar particles with equal mass interacting via scalar mesons is considered in the ladder approximation. It is shown that an integral representation previously attempted holds for all the solutions, normal and abnormal, of the B-S equation. Use is made of the fact that the B-S equation under consideration can be written in a form of an integral equation with a real symmetric and positive kernel.
Also given is a limitation on the lowest eigenvalue of such an integral kernel in terms of its first and second traces.


URL : http://ptp.ipap.jp/link?PTP/26/470/
DOI : 10.1143/PTP.26.470

[ Full Text PDF : FREE ACCESS (649K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 28 No. 5 (1962) pp. 942-943 :
    On the Strength of the Coupling Constant and the Stability of the Vacuum
    Kazumi Maki
  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. 2 (1968) pp. 412-419 :
    Spectra of Massless and Zero Energy-Momentum Solutions of the Bethe-Salpeter Equation
    Seiichi Naitô
  4. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 628-639 :
    S-Matrix and Abnormal Solutions of the Bethe-Salpeter Equation
    Seiichi Naitô
  5. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 184-205 :
    An Attempt at a General Theory of the Bethe-Salpeter Equation
    Masakuni Ida

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