Formal Theory of Heavy Ion Double Charge Exchange Reactions
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929337723256832 |
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| author | Lenske, Horst Bellone, Jessica Colonna, Maria Gambacurta, Danilo Lay, Jose-Antonio |
| author_facet | Lenske, Horst Bellone, Jessica Colonna, Maria Gambacurta, Danilo Lay, Jose-Antonio |
| contents | The theory of heavy ion double charge exchange (DCE) reactions $A(Z,N)\to A(Z\pm 2,N\mp 2)$ 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 $0ν2 β$ Majorana double beta decay (MDBD). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04978 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formal Theory of Heavy Ion Double Charge Exchange Reactions Lenske, Horst Bellone, Jessica Colonna, Maria Gambacurta, Danilo Lay, Jose-Antonio Nuclear Theory Nuclear Experiment The theory of heavy ion double charge exchange (DCE) reactions $A(Z,N)\to A(Z\pm 2,N\mp 2)$ 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 $0ν2 β$ Majorana double beta decay (MDBD). |
| title | Formal Theory of Heavy Ion Double Charge Exchange Reactions |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2405.04978 |