The Lambda(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

Abstract

The Bethe-Salpeter equation is solved in the framework of unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. According to the experimental data at the $K^{-}p$ threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one $\Lambda (1405)$ state is generated dynamically in the strangeness $S=-1$ and isospin $I=0$ sector.

arXiv comment15 pages, 2 figures, Eqs.~(20),(21) and (22) are changed. To be published in Chinese Physics C

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• Separable potential model for $K^{-}N$ interactions at low energies
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Theoretical analysis of Lambda(1405) --> (Sigma pi)^0 mass spectra produced in p+p --> p + Lambda(1405) + K^+ reactions
• The $\Lambda (1405)$ as a Hybrid

Cited by in corpus (5)

• Hyperon II: Properties of excited hyperons
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• The pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation