Energy dependence of $\bar{K}N$ interaction in nuclear medium

TL;DR

This paper investigates how the $ar{K}N$ interaction energy dependence in nuclear medium affects scattering amplitudes, potentials, and hypernuclear production, revealing a strong attraction increase below threshold and linking different potential models.

Contribution

It demonstrates the significant energy dependence of the in-medium $ar{K}N$ amplitude and its impact on hypernuclear production rates, connecting shallow and deep potential models.

Findings

Strong energy dependence of $ar{K}N$ amplitude below threshold

Enhanced $ar{K}N$ attraction at sub-threshold energies

Impact of energy-dependent branching ratios on hypernuclear production

Abstract

When the $\bar{K}N$ system is submerged in nuclear medium the $\bar{K}N$ scattering amplitude and the final state branching ratios exhibit a strong energy dependence when going to energies below the $\bar{K}N$ threshold. A sharp increase of $\bar{K}N$ attraction below the $\bar{K}N$ threshold provides a link between shallow $\bar{K}$-nuclear potentials based on the chiral $\bar{K}N$ amplitude evaluated at threshold and the deep phenomenological optical potentials obtained in fits to kaonic atoms data. We show the energy dependence of the in-medium $K^{-}p$ amplitude and demonstrate the impact of energy dependent branching ratios on the $\Lambda$-hypernuclear production rates. \keywords{kaon-nucleon amplitude \and nuclear medium \and hypernuclei