Abstract
The effect of the ΛΣ conversion of the Λ particle binding in infinite nuclear matter is estimated by using phenomenological separable potentials of the Yamaguchi type which permit exact analytical solutions of the Bethe—Goldstone equation as well as those of the Schrödinger equation for the YN scattering. All the potentials for one-channel (OCF) and two-channel (TCF) formalisms are assumed to be central. They are equivalent in the sense that they lead to the same low-energy ΛN scattering phase shift. Furthermore, in order to remove the arbitrariness of the potentials for TCF, we require them to reproduce the Λ p 3 S resonance below the ΣN threshold and also to reporduce the elastic and inelastic cross sections for Σ − p. More realistic form factors for the interaction than those in previous papers are taken in these potentials for TCF. The calculated elastic and inelastic cross sections for Σ − p, which are very crucial to set up the potentials for TCF, are in good agreement with experimental data. The potentials reproduce almost perfectly the Λp resonance.
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