Towards hypernuclei from nuclear lattice effective field theory

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 $$ particle, within the framework of nuclear lattice effective field theory (NLEFT). By incorporating $$ hyperons into the NLEFT framework, we extend our investigation into the $$ sector, allowing us to probe the third dimension of the nuclear chart. We calculate the $$ separation energies ( $$ ) of hypernuclei up to the medium-mass region, providing valuable insights into hyperon-nucleon (YN) and hyperon-nucleon-nucleon (YNN) interactions. Our calculations employ high-fidelity chiral interactions at N $$ LO for nucleons and extend it to $$ hyperons with leading-order S-wave YN interactions as well as YNN forces constrained only by the $$ systems. Our results contribute to a deeper understanding of the SU(3) symmetry breaking and establish a foundation for future improvements in hypernuclear calculations.