On the widths and binding energies of K− nuclear states and the role of K− multi-nucleon interactions

Jaroslava Hrtankova,Jiří Mareš

doi:10.1051/epjconf/201818101009

Jaroslava Hrtankova, Jiří Mareš

Open Access

https://doi.org/10.1051/epjconf/201818101009

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Abstract

We report on our recent self-consistent calculations of K− nuclear quasi-bound states using K− optical potentials derived from chirally motivated meson-baryon coupled channels models [1, 2]. The K− single-nucleon potentials were supplemented by a phenomenological K− multi-nucleon interaction term introduced to achieve good fits to K− atom data. We demonstrate a substantial impact of the K− multi-nucleon absorption on the widths of K− nuclear states. If such states ever exist in nuclear many-body systems, their widths are excessively large to allow observation.

Highlights

The near-threshold K−N attraction generated by the Λ(1405) resonance seems to be strong enough to allow binding of the K− meson in nuclei
The energy shift for the full density option (FD) option is in any case shallower than for the original K− single-nucleon potential owing to very strong absorption
It is to be noted that the P and KM models supplemented with various versions of the multi-nucleon interaction term could be regarded as equivalent since they all lie in corresponding uncertainty bands and describe kaonic atom data well

Summary

Introduction

The near-threshold K−N attraction generated by the Λ(1405) resonance seems to be strong enough to allow binding of the K− meson in nuclei This fact stimulated numerous theoretical studies of K− nuclear quasi-bound states as well as experimental searches for K− nuclear clusters [3,4,5]. Friedman and Gal [17] supplemented K− single-nucleon potentials constructed within several chiral coupled channels meson-baryon models by a phenomenological term representing the K− multi-nucleon interactions. They fitted parameters of this phenomenological term to kaonic data for each meson-baryon interaction model separately. In this contribution we apply these two models to calculations of K− nuclear quasi-bound states in selected nuclei

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Conclusion