${\Lambda }^{\ast }(1405)$-matter: stable or unstable?

Abstract

A recent suggestion [PLB 774 (2017) 522] that purely-${\Lambda }^{\ast }(1405)$ nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number $A\gtrsim 8$, is tested within RMF calculations. A broad range of ${\Lambda }^{\ast }$ interaction strengths, commensurate with $(\bar{K}\bar{K}NN{)}_{I=0}$ binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per ${\Lambda }^{\ast }$, $B/A$, saturates for $A\gtrsim 120$ with values of $B/A$ considerably below 100 MeV, implying that ${\Lambda }^{\ast }(1405)$ matter is highly unstable against strong decay to $\Lambda$ and $\Sigma$ hyperon aggregates. The central density of ${\Lambda }^{\ast }$ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong $\bar{K}N$ potentials, fitted for isospin $I=0$ to the mass and width values of ${\Lambda }^{\ast }(1405)$, fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from $K^{-}$ capture-at-rest bubble chamber experiments.

arXiv commentv2 -- slightly added discussion, version accepted for publication in Phys. Lett. B

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