Single-particle potential of the $\Lambda$ hyperon in nuclear matter with chiral effective field theory NLO interactions including effects of YNN three-baryon interactions

Abstract

Adopting hyperon-nucleon and hyperon-nucleon-nucleon interactions parametrized in chiral effective field theory, single-particle potentials of the $\Lambda$ and $\Sigma$ hyperons are evaluated in symmetric nuclear matter and in pure neutron matter within the framework of lowest order Bruckner theory. The chiral NLO interaction bears strong $\Lambda$N-$\Sigma$N coupling. Although the $\Lambda$ potential is repulsive if the coupling is switched off, the $\Lambda$N-$\Sigma$N correlation brings about the attraction consistent with empirical data. The $\Sigma$ potential is repulsive, which is also consistent with empirical information. The interesting result is that the $\Lambda$ potential becomes shallower beyond normal density. This provides the possibility to solve the hyperon puzzle without introducing ad hoc assumptions. The effects of the $\Lambda$NN-$\Lambda$NN and $\Lambda$NN-$\Sigma$NN three-baryon forces are considered. These three-baryon forces are first reduced to normal-ordered effective two-baryon interactions in nuclear matter and then incorporated in the $G$-matrix equation. The repulsion from the $\Lambda$NN-$\Lambda$NN interaction is of the order of 5 MeV at the normal density, and becomes larger with increasing the density. The effects of the $\Lambda$NN-$\Sigma$NN coupling compensate the repulsion at normal density. The net effect of the three-baryon interactions to the $\Lambda$ single-particle potential is repulsive at higher densities.

14 pages, 12 figures, version to be published in Phys. Rev. C, typos corrected, appendix renewed

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Cited by in corpus (16)

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• Hyperon-nucleon interaction within chiral effective field theory revisited
• Hyperon-nucleon three-body forces and strangeness in neutron stars
• Hyperons: the strange ingredients of the nuclear equation of state
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter
• $\Xi$ hyperons in the nuclear medium described by chiral NLO interactions
• Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• Femtoscopic study of the $\Lambda \alpha$ interaction
• Faddeev Calculation of ${}_{\Lambda }^3$H incorporating 2π-exchange $\Lambda$NN Interaction
• Partial-wave expansion of $\Lambda NN$ three-baryon interactions in chiral effective field theory
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• Exploring Hyperon Skyrme Forces in Multi-$\Lambda$ Hypernuclei and Neutron Star Matter
• Effects of three-baryon forces on kaon condensation in hyperon-mixed matter
• Directed flow of $\Lambda$ from heavy-ion collisions and hyperon puzzle of neutron stars