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Towards Hypernuclei from Nuclear Lattice Effective Field Theory
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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.
Forward citations
Cited by 4 Pith papers
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Lattice calculation of the Sn isotopes near the proton dripline
First high-fidelity lattice calculations of 99-102Sn reach percent-level agreement with measured binding energies, confirm the N=50 shell closure, and find 99Sn less bound than extrapolations from heavier tin isotopes.
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Hypernuclei with Neural Network Quantum States
Neural network quantum states, extended to include Lambda hyperons, reproduce hypernuclear separation energies to within roughly 9% and predict the observed proton-radius shrinkage in 7ΛLi.
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Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO
A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.
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Perspectives for hyperon and hypernuclei physics
Hypernuclei are reviewed as key probes of the strong interaction, with upcoming experiments and higher-order theory expected to resolve the hypertriton binding energy and charge symmetry puzzles.
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