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Nuclear Theory

arXiv:2508.08181 (nucl-th)
[Submitted on 11 Aug 2025]

Title:The excited state of the $α$-particle: a benchmark study

Authors:Pierre-Yves Duerinck, Arnoldas Deltuva, Jérémy Dohet-Eraly, Mario Gattobigio, Alejandro Kievsky, Rimantas Lazauskas, Darius Likandrovas, Michele Viviani
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Abstract:A benchmark study is performed for the excited state of $^4$He. When the Coulomb interaction is switched off, the $^4$He nucleus exhibits a bound excited state in the vicinity of $p-{}^3$H threshold. As the Coulomb interaction is gradually introduced, the excited state crosses the threshold and eventually becomes a resonant state.
Using three numerical methods, we track the evolution of this excited state and determine the resonance energy and width. Comparisons of the theoretical predictions reveal a significant discrepancy with commonly used $R$-matrix values based on the analysis of the experimental data. We explain the origin for this discrepancy. Additionally, the two-level energy spectrum of $^4$He in the absence of the Coulomb force exhibits characteristics linked to Efimov physics, suggesting a reduced sensitivity to interaction details.
Subjects: Nuclear Theory (nucl-th)
Cite as: arXiv:2508.08181 [nucl-th]
  (or arXiv:2508.08181v1 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.2508.08181
Related DOI: https://doi.org/10.1103/jcd4-8jh8

Submission history

From: Rimantas Lazauskas Dr [view email]
[v1] Mon, 11 Aug 2025 17:01:31 UTC (80 KB)
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