Article
Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
Author/s | Lenske, Horst
Bellone, Jessica Colonna, Maria Gambacurta, Danilo Lay Valera, José Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2024-02-16 |
Deposit Date | 2024-07-11 |
Published in |
|
Abstract | The role of initial state (ISI) and final state (FSI) ion–ion interactions in heavy-ion doublecharge-exchange (DCE) reactions A(Z, N) → A(Z ± 2, N ∓ 2) are studied for double single-chargeexchange (DSCE) reactions given ... The role of initial state (ISI) and final state (FSI) ion–ion interactions in heavy-ion doublecharge-exchange (DCE) reactions A(Z, N) → A(Z ± 2, N ∓ 2) are studied for double single-chargeexchange (DSCE) reactions given by sequential actions of the isovector nucleon–nucleon (NN) T-matrix. In momentum representation, the second-order DSCE reaction amplitude is shown to be given in factorized form by projectile and target nuclear matrix elements and a reaction kernel containing ISI and FSI. Expanding the intermediate propagator in a Taylor series with respect to auxiliary energy allows us to perform the summation in the leading-order term over intermediate nuclear states in closure approximation. The nuclear matrix element attains a form given by the products of two-body interactions directly exciting the n 2 p −2 and p 2n −2 DCE transitions in the projectile and the target nucleus, respectively. A surprising result is that the intermediate propagation induces correlations between the transition vertices, showing that DSCE reactions are a two-nucleon process that resembles a system of interacting spin–isospin dipoles. Transformation of the DSCE NN T-matrix interactions from the reaction theoretical t-channel form to the s-channel operator structure required for spectroscopic purposes is elaborated in detail, showing that, in general, a rich spectrum of spin scalar, spin vector and higher-rank spin tensor multipole transitions will contribute to a DSCE reaction. Similarities (and differences) to two-neutrino double-beta decay (DBD) are discussed. ISI/FSI distortion and absorption effects are illustrated in black sphere approximation and in an illustrative application to data. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España Agencia Estatal de Investigación. España |
Project ID. | PID2020-114687GB-I00
![]() |
Citation | Lenske, H., Bellone, J., Colonna, M., Gambacurta, D. y Lay Valera, J.A. (2024). Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions. Universe, 10 (2), 93. https://doi.org/10.3390/universe10020093. |
Files | Size | Format | View | Description |
---|---|---|---|---|
universe-10-00093-v4.pdf | 727.0Kb | ![]() | View/ | |