Effective Kbar N interaction based on chiral SU(3) dynamics

Abstract

The effective Kbar N interaction based on chiral SU(3) coupled-channel dynamics is derived and its extrapolation below the Kbar N threshold is studied in detail. Starting from the coupled-channel scattering equations, we eliminate the channels other than Kbar N and obtain an effective interaction in the single Kbar N channel. An equivalent local potential in coordinate space is constructed such as to reproduce the full scattering amplitude of the chiral SU(3) coupled-channel framework. We discuss several realistic chiral SU(3)-based models in comparison to reach conclusions about the uncertainties involved. It turns out that, in the region relevant to the discussion of deeply bound Kbar-nuclear few-body systems, the resulting energy-dependent, equivalent local potential is substantially less attractive than the one suggested in previous purely phenomenological treatments.

RevTeX4, 16 pages, 15 figures, 5 tables, effect of higher order terms is discussed, final version to appear in Phys. Rev. C

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Cited by in corpus (11)

• Origin of resonances in the chiral unitary approach
• $K^{-}pp$ system with chiral SU(3) effective interaction
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• anti-K anti-K N molecule state in three-body calculation
• Electromagnetic mean squared radii of Lambda(1405) in chiral dynamics
• Chiral SU(3) Dynamics and Antikaon-Nuclear quasibound States
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Critical review of [K- ppn] bound states
• The $\sigma K$ coupling in the chiral unitary approach and the isoscalar $\bar{K}N$, $\bar{K}A$ interaction
• Lambda(1405) in chiral SU(3) dynamics
• Electric Mean Squared Radii of Lambda(1405) in Chiral Dynamics