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Gattobigio, M.; Kievsky, A.
Few-body systems, 11/2023, Volume: 64, Issue: 4Journal Article
We investigate the properties of the excited state of 4 He , 4 He ∗ , within the framework of Efimov physics and its connection to the unitary point of the nuclear interaction. We explore two different approaches to track the trajectory of 4 He ∗ as it crosses the 3 H +p threshold and potentially becomes a resonant state. The first approach involves an analytical continuation of the energy with respect to the Coulomb coupling, while the second approach introduces an artificial four-body force that it is gradually released. By utilizing Padé approximants and extrapolation techniques, we estimate the energy and width of the resonance. Our results suggest a central energy value of E R = 0.060 ( 3 ) MeV and a width of Γ / 2 = 0.036 ( 6 ) MeV using the Coulomb analysis, and E R = 0.068 ( 1 ) MeV and Γ / 2 = 0.007 ( 5 ) MeV with the four-body force analysis. Interestingly, these results are consistent with calculations based on ab-initio nuclear interactions but differ from the accepted values of the 0 + resonance energy and width. This highlights the challenges in accurately determining the properties of resonant states in light nuclei and calls for further investigations and refinements in theoretical approaches.
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