Implications of an increased $\Lambda$-separation energy of the hypertriton

Abstract

Stimulated by recent indications that the binding energy of the hypertriton could be significantly larger than so far assumed, requirements of a more strongly bound ${}_{\Lambda }^3\mathrm{H}$ state for the hyperon-nucleon interaction and consequences for the binding energies of $A=4,5$ and $7$ hypernuclei are investigated. As basis a $YN$ potential derived at next-to-leading order in chiral effective field theory is employed, Faddeev and Yakubovsky equations are solved to obtain the corresponding $3$- and $4$-body binding energies, respectively, and the Jacobi no-core shell model is used for ${}_{\Lambda }^5$He and ${}_{\Lambda }^7$Li. It is found that the spin-singlet $\Lambda p$ interaction would have to be much more attractive which can be, however, accommodated within the bounds set by the available $\Lambda p$ scattering data. The binding energies of the ${}_{\Lambda }^4\mathrm{He}$ hypernucleus are predicted to be closer to the empirical values than for $YN$ interactions that produce a more weakly bound ${}_{\Lambda }^3\mathrm{H}$. The quality of the description of the separation energy and excitation spectrum for ${}_{\Lambda }^7$Li remains essentially unchanged.

arXiv comment8 pages, 3 figures; version that was published in Phys. Lett. B

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• Hyperon-nuclear interactions from SU(3) chiral effective field theory
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• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Revisiting the hypertriton lifetime puzzle
• Lifetime of the hypertriton
• Impurity Lattice Monte Carlo for Hypernuclei
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• Nuclear physics uncertainties in light hypernuclei
• Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials
• Nature of the $\Lambda nn$ $(J^{\pi }=1/2^{+},I=1)$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states
• Ab initio calculation of charge symmetry breaking in $A=7$ and $8$ $\Lambda$-hypernuclei
• S-shell $\Lambda \Lambda$ hypernuclei based on chiral interactions
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems