Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle

Abstract

We present the first ab initio calculations for $p$-shell hypernuclei including hyperon-nucleon-nucleon (YNN) contributions induced by a Similarity Renormalization Group transformation of the initial hyperon-nucleon interaction. The transformation including the YNN terms conserves the spectrum of the Hamiltonian while drastically improving model-space convergence of the Importance-Truncated No-Core Shell Model, allowing a precise extraction of binding and excitation energies. Results using a hyperon-nucleon interaction at leading order in chiral effective field theory for lower- to mid-$p$-shell hypernuclei show a good reproduction of experimental excitation energies while hyperon binding energies are typically overestimated. The induced YNN contributions are strongly repulsive and we show that they are related to a decoupling of the $\Sigma$ hyperons from the hypernuclear system, i.e., a suppression of the $\Lambda$-$\Sigma$ conversion terms in the Hamiltonian. This is linked to the so-called hyperon puzzle in neutron-star physics and provides a basic mechanism for the explanation of strong $\Lambda$NN three-baryon forces.

5 pages, 5 figures

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• Hypernuclear No-Core Shell Model
• Resolving the $\Lambda$ hypernuclear overbinding problem in pionless effective field theory
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• Jacobi no-core shell model for $p$-shell hypernuclei
• Effects of $\varphi$-meson on properties of hyperon stars in density dependent relativistic mean field model
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Similarity renormalization group evolution of hypernuclear Hamiltonians
• First Determination of Level Structure of an $sd$-Shell Hypernucleus, ${}_{\mathrm{\Lambda }}^{19}\mathrm{F}$
• Nuclear physics uncertainties in light hypernuclei
• Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials
• Low-lying level structure of $\Lambda$ hypernuclei and spin dependence of $\Lambda N$ interaction with antisymmetrized molecular dynamics
• Hyperon-Nucleon Interaction Constrained by Light Hypernuclei
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• Effect of a realistic three-body force on the spectra of medium-mass hypernuclei
• One-proton emission from the ${}_{\Lambda }^6$Li hypernucleus
• Exploring Hyperon Skyrme Forces in Multi-$\Lambda$ Hypernuclei and Neutron Star Matter
• Old and New in Strangeness Nuclear Physics