Alpha-clustered hypernuclei and chiral SU(3) dynamics

TL;DR

This paper investigates light hypernuclei with alpha cluster structures using a cluster approach combined with chiral SU(3) dynamics, providing insights into hypernuclear interactions and structure.

Contribution

It introduces a novel combination of the Hyper-THSR wave function with a density-dependent chiral SU(3) hyperon-nuclear interaction for hypernuclei analysis.

Findings

Calculated properties of $_\Lambda^9$Be and $^{13}_\Lambda$C match experimental data.

First ab initio calculation of $^5_{\Lambda}$He with realistic nucleon density.

Demonstrates the importance of two-pion exchange processes in hypernuclear interactions.

Abstract

Light hypernuclei with an $\alpha$ cluster substructure of the core nucleus are studied using an accurate cluster approach (the Hyper-THSR wave function) in combination with a density-dependent $\Lambda$ hyperon-nuclear interaction derived from chiral SU(3) effective field theory. This interaction includes important two-pion exchange processes involving $\Sigma N$ intermediate states and associated three-body mechanisms as well as effective mass and surface terms arising in a derivative expansion of the in-medium $\Lambda$ self-energy. Applications and calculated results are presented and discussed for $_\Lambda^9$Be and $^{13}_\Lambda$C. Furthermore, the result of the lightest $\alpha$ clustered hypernucleus, $^5_{\Lambda}$He using realistic $ab initio$ four nucleon density is shown.