Search for the Efimov state near the 3$α$ threshold

Fuente: arXiv
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Autori principali: Baishya, A., Santra, S., Singh, T., Rout, P. C., Pal, A., Kumawat, H., Santhosh, T., Taya, P., Meher, M., Das, Jyotisankar
Natura: Preprint
Pubblicazione: 2025
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author Baishya, A.
Santra, S.
Singh, T.
Rout, P. C.
Pal, A.
Kumawat, H.
Santhosh, T.
Taya, P.
Meher, M.
Das, Jyotisankar
author_facet Baishya, A.
Santra, S.
Singh, T.
Rout, P. C.
Pal, A.
Kumawat, H.
Santhosh, T.
Taya, P.
Meher, M.
Das, Jyotisankar
contents A high-precision experiment in search of the predicted Efimov state in $^{12}\mathrm{C}$ at 7.458 MeV excitation energy was performed. Using a state-of-the-art detector system and novel analysis techniques, it was possible to observe the Efimov state at the predicted energy level above the 3$α$ threshold with much better sensitivity in the $^{12} \mathrm{C}$ excitation energy spectrum compared to the existing data. The mutual $^{8} \mathrm{Be}$ resonance (91.84 keV) condition filters out a total of 21 probable Efimov state events around 7.458 MeV. With 2$σ$ confidence, it gives an upper limit of 0.014$\%$ for the Efimov state $α$-decay width relative to that of the Hoyle state, which is about an order of magnitude smaller than the latest upper limit found in the literature. This observation was supported by a new penetrability calculation assuming a relatively extended structure of the Efimov state compared to the Hoyle state. The effect of the Efimov state was also explored in a nuclear astrophysical scenario, where the triple-$α$ reaction rate, including both the Hoyle state and the Efimov state, was found to be larger than the allowed limit, while the temperature dependence of the combined rate was found to be compatible with the helium shell flash criterion of the AGB stars.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03514
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Search for the Efimov state near the 3$α$ threshold
Baishya, A.
Santra, S.
Singh, T.
Rout, P. C.
Pal, A.
Kumawat, H.
Santhosh, T.
Taya, P.
Meher, M.
Das, Jyotisankar
Nuclear Experiment
Nuclear Theory
A high-precision experiment in search of the predicted Efimov state in $^{12}\mathrm{C}$ at 7.458 MeV excitation energy was performed. Using a state-of-the-art detector system and novel analysis techniques, it was possible to observe the Efimov state at the predicted energy level above the 3$α$ threshold with much better sensitivity in the $^{12} \mathrm{C}$ excitation energy spectrum compared to the existing data. The mutual $^{8} \mathrm{Be}$ resonance (91.84 keV) condition filters out a total of 21 probable Efimov state events around 7.458 MeV. With 2$σ$ confidence, it gives an upper limit of 0.014$\%$ for the Efimov state $α$-decay width relative to that of the Hoyle state, which is about an order of magnitude smaller than the latest upper limit found in the literature. This observation was supported by a new penetrability calculation assuming a relatively extended structure of the Efimov state compared to the Hoyle state. The effect of the Efimov state was also explored in a nuclear astrophysical scenario, where the triple-$α$ reaction rate, including both the Hoyle state and the Efimov state, was found to be larger than the allowed limit, while the temperature dependence of the combined rate was found to be compatible with the helium shell flash criterion of the AGB stars.
title Search for the Efimov state near the 3$α$ threshold
topic Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2507.03514