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arxiv: nucl-th/9711022 · v1 · submitted 1997-11-11 · ⚛️ nucl-th

Non perturbative chiral approach to s-wave bar{K}N interactions

classification ⚛️ nucl-th
keywords sigmalambdachirallagrangianlowestorders-waveallows
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The s-wave meson-nucleon interaction in the $S = -1$ sector is studied by means of coupled-channel Lippmann Schwinger equations, using the lowest order chiral Lagrangian and a cut off to regularize the loop integrals. The method reproduces succesfully the $\Lambda (1405)$ resonance and the $K^- p \to K^- p, \bar{K}^0 n, \pi^0 \Lambda, \pi^0 \Sigma, \pi^+ \Sigma^-, \pi^- \Sigma^+$ cross sections at low energies. The inclusion of the $\eta \Lambda, \eta \Sigma^0$ channels in the coupled system is found very important and allows a solution in terms of only the lowest order Lagrangian.

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Cited by 3 Pith papers

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