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Prog. Theor. Phys. Vol. 29 No. 3 (1963) pp. 439-450

S-wave K-N Reactions and Vector Mesons by Semi-Phenomenological Amplitudes

Tomoya Akiba

Department of Physics, Tohoku University, Sendai

(Received November 14, 1962)

Abstract:

Semi-phenomenological amplitudes which are obtained by applying the one-pole approximation of the left-hand cuts are used to describe the S-wave K-N reactions. The principal purpose is to examine possible energy dependences of the “constant” parameters in the zero range theory. It is assumed that Y₀^* is an S_1/2 Dalitz-Tuan type bound state and that the I = 0 complex scattering length has a negative and large real part near the K-N threshold. It is shown that the I = 0 scattering length shows an energy behavior consistent with some indications from the experiment above the Y₀^*-mass, though the behavior becomes wrong at lower energies. The amplitudes also give qualitative information about potentials in each channel. The suggested features of the I = 0 channel potentials are well understood by a vector meson exchange model. A rough estimation of coupling constants of vector mesons is given.

URL : http://ptp.ipap.jp/link?PTP/29/439/
DOI : 10.1143/PTP.29.439

[ Full Text PDF : FREE ACCESS (801K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 29 No. 4 (1963) pp. 574-589 :

   S-Wave KN Reactions at Two-Channel Problem

   Yasunori Fujii

2. Progress of Theoretical Physics Vol. 32 No. 2 (1964) pp. 242-253 :

   Vector Meson Effects in Kaon-Nucleon Scattering

   Tomoya Akiba and Fujio Takagi

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