Chirally motivated $\bar{K}N$ amplitudes for in-medium applications

TL;DR

This paper presents a new chirally motivated coupled-channels model for meson-baryon interactions, incorporating recent experimental data, and discusses its implications for kaonic nuclei and hypernuclear formation.

Contribution

It introduces a refined model consistent with recent data, linking shallow and deep kaonic potentials and analyzing their effects on hypernuclear formation rates.

Findings

The model fits recent SIDDHARTA data on kaonic hydrogen.

A sharp increase in the in-medium $K^{-}p$ amplitude at subthreshold energies is observed.

Implications for the $A$-dependence of hypernuclear formation are discussed.

Abstract

A new fit of a chirally motivated coupled-channels model for meson-baryon interactions is presented including the recent SIDDHARTA data on the 1s level characteristics of kaonic hydrogen. The kaon-nucleon amplitudes generated by the model are fully consistent with our earlier studies. We argue that a sharp increase of the real part of the in-medium $K^{-}p$ amplitude at subthreshold energies provides a link between the shallow $\bar{K}$-nuclear optical potentials obtained microscopically from threshold $\bar{K}N$ interactions and the phenomenological deep ones deduced from kaonic atoms data. The impact on the $A$-dependence of the $\Lambda$-hypernuclear formation rates measured in reactions with stopped kaons is discussed too.