https://doi.org/10.1051/epjconf/202429204001
Formal theory of heavy ion double charge exchange reactions
1 Institut für Theoretische Physik, JLU Giessen, D-35392 Giessen, Germany
2 Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud, Catania, Italy
3 Dipartimento di Fisica e Astronomia "E. Majorana", Università di Catania, Catania, Italy
4 University of Sevilla, Sevilla, Spain
5 The NUMEN Collaboration, LNS Catania, I-95123 Catania, Italy
* e-mail: horst.lenske@physik.uni-giessen.de
Published online: 14 March 2024
The theory of heavy ion double charge exchange (DCE) reactions A(Z, N) → A(Z ± 2, N ∓ 2) is recapitulated emphasizing the role of Double Single Charge Exchange (DSCE) and pion-nucleon Majorana DCE (MDCE) reactions. DSCE reactions are of second–order distorted wave character, mediated by isovector nucleon-nucleon (NN) interactions. The DSCE response functions resemble the nuclear matrix elements (NME) of 2ν2β decay. The MDCE process proceeds by a dynamically generated effective rank-2 isotensor interaction, defined by off–shell pion–nucleon DCE scattering. In closure approximation pion potentials and two–nucleon correlations are obtained, similar to the neutrino potentials and the intranuclear exchange of Majorana neutrinos in 0ν2β Majorana double beta decay (MDBD).
© The Authors, published by EDP Sciences, 2024
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