On the possibility to measure nuclear matrix elements of neutrinoless double beta decay in charge-exchange reactions

✍ Scribed by Vadim Rodin; Amand Faessler

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 259 KB
• Volume: 66
• Category: Article
• ISSN: 0146-6410
• DOI: 10.1016/j.ppnp.2011.01.048

✦ Synopsis

As shown in Rodin and Faessler (2009) [7], the Fermi nuclear matrix element M 0ν F of neutrinoless double beta (0νββ) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element from the ground state of the final nucleus to the isobaric analog state (IAS) of the initial nucleus, for instance by means of charge-exchange reactions of the (n, p)-type. Here, simple estimates for 82 Se are made which show that indeed the tiny cross-section σ np (0 + f → IAS) is dominated by the admixture of the double IAS in the ground state of the final nucleus provided that the isospin mixing is weak and can be treated perturbatively. A measurement of such a crosssection would definitely be a very difficult task, but it can advance a lot our knowledge of the 0νββ nuclear matrix element.