Meson-meson interaction in the Bethe-Salpeter approximation

Mitra, A. N. ; Saxena, R. P. (1957) Meson-meson interaction in the Bethe-Salpeter approximation Physical Review, 108 (4). pp. 1083-1089. ISSN 0031-899X

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The π-π interaction is studied in the Bethe-Salpeter approximation by first obtaining the "effective" interaction Hamiltonian with the help of the lowest order S matrix for π-π scattering. This Hamiltonian is then used to set up a Goldberger-type integral equation for π-π scattering which is solved for the cases of total isotopic spins I=0, 2, assuming the mesons to be in s states with respect to each other. It is found that the interaction in the state I=0 is too strongly attractive to give a resonance. On the other hand, a resonance is obtained for the case I=2, at a momentum (in the center-of-mass system) k∼93 Mev/c for each meson, taking G2/4π=15.5.

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ID Code:34609
Deposited On:09 Apr 2011 05:53
Last Modified:09 Apr 2011 05:53

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