Constraints from $\Lambda$ hypernuclei on the $\Lambda NN$ content of the $\Lambda$-nucleus potential

Abstract

A depth of $D_{\Lambda }\approx -28$ MeV for the $\Lambda$-nucleus potential was confirmed in 1988 by studying $\Lambda$ binding energies deduced from $({\pi }^{+},K^{+})$ spectra measured across the periodic table. Modern two-body hyperon-nucleon interaction models require additional interaction terms, most likely $\Lambda NN$ three-body terms, to reproduce $D_{\Lambda }$. In this work we apply a suitably constructed $\Lambda$-nucleus density dependent optical potential to binding energy calculations of observed $1s_{\Lambda }$ and $1p_{\Lambda }$ states in the mass range $12\le A\le 208$. The resulting $\Lambda NN$ contribution to $D_{\Lambda }$, about 14 MeV repulsion at symmetric nuclear matter density ${\rho }_0=0.17$ fm${}^{-3}$, makes $D_{\Lambda }$ increasingly repulsive at $\rho \gtrsim 3{\rho }_0$, leading possibly to little or no $\Lambda$ hyperon content of neutron-star matter. This suggests in some models a stiff equation of state that may support two solar-mass neutron stars.

v1: 5 pages, 3 figures, 1 table; v2: slightly corrected v1, submitted for publication; v3: 14 pages, 3 figures, 1 table, submitted elsewhere; v4: very minor stylistic changes, matches published version

References in corpus (5)

• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• In-medium nuclear interactions of low-energy hadrons
• Hyperon-nucleon interactions - a chiral effective field theory approach
• $K^{-}N$ amplitudes below threshold constrained by multinucleon absorption
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Cited by in corpus (8)

• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• Hypertriton lifetime
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Deciphering ${\Xi }^{-}$ capture events in light emulsion nuclei