Abstract
A recent suggestion by Akaishi and Yamazaki (2017) [3] that purely-Λ⁎(1405) nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number A≳8, is tested within RMF calculations. A broad range of Λ⁎ interaction strengths, commensurate with (K¯K¯NN)I=0 binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per Λ⁎, B/A, saturates for A≳120 with values of B/A considerably below 100 MeV, implying that Λ⁎(1405) matter is highly unstable against strong decay to Λ and Σ hyperon aggregates. The central density of Λ⁎ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong K¯N potentials, fitted for isospin I=0 to the mass and width values of Λ⁎(1405), fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from K− capture-at-rest bubble chamber experiments.
Highlights
Strangeness (S) provides for extension of standard nuclear matter to strange matter in which SU(3)-octet hyperons (Λ, Σ, Ξ) may prove as abundant as nucleons [1]
In this Letter, we show within Relativistic Mean Field (RMF) calculations in which strongly attractive Λ∗Λ∗ interactions are generated through scalar meson (σ) and vector meson (ω) exchanges that both B/A, the Λ∗-matter binding energy per baryon, and the central density ρ(r ≈ 0) saturate for values of A of order A ∼ 100
The approximate constancy of r0 with A is consistent with approximately uniform Λ∗ matter density. It was shown within a straightforward RMF calculation that the Λ∗(1405) stable-matter scenario promoted by AY [3] is unlikely to be substantiated in standard many-body schemes
Summary
Strangeness (S) provides for extension of standard nuclear matter to strange matter in which SU(3)-octet hyperons (Λ, Σ, Ξ) may prove as abundant as nucleons [1]. In this Letter, we show within RMF calculations in which strongly attractive Λ∗Λ∗ interactions are generated through scalar meson (σ) and vector meson (ω) exchanges that both B/A, the Λ∗-matter binding energy per baryon, and the central density ρ(r ≈ 0) saturate for values of A of order A ∼ 100. For the case considered here, B/A saturates at values between roughly 30 to 80 MeV, depending on details of the RMF modeling, and the associated central densities saturate at values about twice nuclear-matter density. This leaves Λ∗ aggregates highly unstable against strong interaction decay governed by two-body conversion reactions such as Λ∗Λ∗ → ΛΛ, ΣΣ. A brief Conclusion section summarizes our results with some added discussion
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