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arXiv · 2406.17638

Towards Hypernuclei from Nuclear Lattice Effective Field Theory

Fabian Hildenbrand·Serdar Elhatisari·Zhengxue Ren·Ulf-G. Meißner
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Abstract

Understanding the strong interactions within baryonic systems beyond the up and down quark sector is pivotal for a comprehensive description of nuclear forces. This study explores the interactions involving hyperons, particularly the $\Lambda$ particle, within the framework of nuclear lattice effective field theory (NLEFT). By incorporating $\Lambda$ hyperons into the NLEFT framework, we extend our investigation into the $S = -1$ sector, allowing us to probe the third dimension of the nuclear chart. We calculate the $\Lambda$ separation energies ($B_{\Lambda}$) of hypernuclei up to the medium-mass region, providing valuable insights into hyperon-nucleon ($YN$) and hyperon-nucleon-nucleon ($YNN$) interactions. Our calculations employ high-fidelity chiral interactions at N${}^3$LO for nucleons and extend it to $\Lambda$ hyperons with leading-order S-wave $YN$ interactions as well as $YNN$ forces constrained only by the $A=4,5$ systems. Our results contribute to a deeper understanding of the SU(3) symmetry breaking and establish a foundation for future improvements in hypernuclear calculations.

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Fabian Hildenbrand, Serdar Elhatisari, Zhengxue Ren, Ulf-G. Meißner. 2024-06-25. Towards Hypernuclei from Nuclear Lattice Effective Field Theory. https://arxiv.org/abs/2406.17638

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