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Compatibility of recent ${\cal S}=-2$ emulsion events

Avraham Gal

TL;DR

The paper interrogates the consistency of recent $S=-2$ hypernuclear assignments from J-PARC E07 with results from other experiments. It analyzes the J-PARC E05 ${^{12}{\rm C}}(K^-,K^+)$ spectrum to argue that the ${^{14}{\rm N}}$ Xi$^-_{1s}$ interpretation is unlikely due to radiative de-excitation dynamics, favoring a robust ${^{11}_{\Xi}}$Be $1s$ bound state for a Pauli-corrected depth of about $21$ MeV in the $\Xi$-nucleus potential. The E07 observation of ${_{\Lambda\Lambda}^{~13}}{\rm B}$ yields $B_{\Lambda\Lambda}$ and $\Delta B_{\Lambda\Lambda}$ values (~$2.83$–$2.97$ MeV) that exceed the smaller $\Delta B_{\Lambda\Lambda}$ values inferred from the NAGARA/KEK-E176 results, signaling a tension in cross-experiment interpretations and underscoring the sensitivity to production paths and excited-state assignments. The work discusses how different theoretical Xi-nuclear potentials and three-body effects influence the inferred binding energies, and emphasizes the need for consistent cross-experimental benchmarks to constrain the $\Xi N$ interaction and the $\Lambda\Lambda$ sector. Overall, the paper highlights significant inconsistencies that must be reconciled to reliably map the $\Xi$-nucleus and $\Lambda\Lambda$ interactions.

Abstract

We question the compatibility of recent ${\cal S}=-2$ hypernuclear assignments of J-PARC E07 $Ξ^-$-capture emulsion events with assignments deduced from other experiments.

Compatibility of recent ${\cal S}=-2$ emulsion events

TL;DR

The paper interrogates the consistency of recent hypernuclear assignments from J-PARC E07 with results from other experiments. It analyzes the J-PARC E05 spectrum to argue that the Xi interpretation is unlikely due to radiative de-excitation dynamics, favoring a robust Be bound state for a Pauli-corrected depth of about MeV in the -nucleus potential. The E07 observation of yields and values (~– MeV) that exceed the smaller values inferred from the NAGARA/KEK-E176 results, signaling a tension in cross-experiment interpretations and underscoring the sensitivity to production paths and excited-state assignments. The work discusses how different theoretical Xi-nuclear potentials and three-body effects influence the inferred binding energies, and emphasizes the need for consistent cross-experimental benchmarks to constrain the interaction and the sector. Overall, the paper highlights significant inconsistencies that must be reconciled to reliably map the -nucleus and interactions.

Abstract

We question the compatibility of recent hypernuclear assignments of J-PARC E07 -capture emulsion events with assignments deduced from other experiments.
Paper Structure (2 sections, 2 equations, 3 figures)

This paper contains 2 sections, 2 equations, 3 figures.

Table of Contents

  1. Implications of the J-PARC E05 ${^{12}}{\rm C}(K^-,K^+)$ spectrum
  2. Implications of a recent J-PARC E07 ${_{\Lambda\Lambda}^{~13}}$B event

Figures (3)

  • Figure 1: $\Xi^{-}-{^{14}{\rm N}}$ spectrum deduced from $\Xi^-$ capture events identified by their twin-$\Lambda$ hypernuclear decays in KEK-PS E373 and J-PARC E07 emulsion experiments. Figure adapted from Ref. E07.
  • Figure 2: $\Xi^-_{1s}-{^{14}{\rm N}}$ IRRAWADDY reinterpreted as $\Xi^0_{1p}-{^{14}{\rm C}}$. Figure adapted from Ref. FG23.
  • Figure 3: Photo of the new E07 event He25 along with a schematic drawing of the ${_{\Lambda\Lambda}^{~13}}$B production vertex A and weak-decay vertices B and C; see text.