Ab initio studies of the double–Gamow-Teller transition and its correlation with neutrinoless double- β decay

• Published in: Physical review. C 2022-07, Vol.106 (1), Article 014315
• Main Authors: Yao, J. M., Ginnett, I., Belley, A., Miyagi, T., Wirth, R., Bogner, S., Engel, J., Hergert, H., Holt, J. D., Stroberg, S. R.
• Format: Article
• Language: English
• Subjects: 20 ≤ A ≤ 38; 6 ≤ A ≤ 19; A ≤ 58; A ≤ 89; Ab initio calculations; Neutrinoless double beta decay; Nuclear forces; NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclear structure & decays
• ISSN: 2469-9985; 2469-9993
• DOI: 10.1103/PhysRevC.106.014315

Here, we use chiral interactions and several ab initio methods to compute the nuclear matrix elements (NMEs) for ground-state-to-ground-state double Gamow-Teller transitions in a range of isotopes and explore the correlation of these NMEs with those for neutrinoless double beta decay produced by the exchange of a light Majorana neutrino. When all the NMEs of both isospin-conserving and isospin-changing transitions from the ab initio calculations are considered, the correlation is strong. For the experimentally relevant isospin-changing transitions by themselves, however, the correlation is weaker and may not be helpful for reducing the uncertainty in the NMEs for neutrinoless double beta decay.