Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions

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 momentu...

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Autores: Lenske, Horst, Bellone, Jessica, Colonna, Maria, Gambacurta, Danilo, Lay Valera, José Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/161287
Acceso en línea:https://hdl.handle.net/11441/161287
https://doi.org/10.3390/universe10020093
Access Level:acceso abierto
Palabra clave:reaction theory
nuclear many-body theory
double-charge-exchange reactions
double-beta decay
induced interactions
nuclear matrix elements
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spelling Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State InteractionsLenske, HorstBellone, JessicaColonna, MariaGambacurta, DaniloLay Valera, José Antonioreaction theorynuclear many-body theorydouble-charge-exchange reactionsdouble-beta decayinduced interactionsnuclear matrix elementsThe 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.MCIN/AEI/10.13039/501100011033 - PID2020-114687GB-I00MDPIFísica Atómica, Molecular y NuclearMinisterio de Ciencia e Innovación (MICIN). EspañaAgencia Estatal de Investigación. España2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/161287https://doi.org/10.3390/universe10020093reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésUniverse, 10 (2), 93.PID2020-114687GB-I00https://doi.org/10.3390/universe10020093info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1612872026-06-17T12:51:07Z
dc.title.none.fl_str_mv Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
title Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
spellingShingle Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
Lenske, Horst
reaction theory
nuclear many-body theory
double-charge-exchange reactions
double-beta decay
induced interactions
nuclear matrix elements
title_short Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
title_full Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
title_fullStr Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
title_full_unstemmed Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
title_sort Induced Isotensor Interactions in Heavy-Ion Double-Charge-Exchange Reactions and the Role of Initial and Final State Interactions
dc.creator.none.fl_str_mv Lenske, Horst
Bellone, Jessica
Colonna, Maria
Gambacurta, Danilo
Lay Valera, José Antonio
author Lenske, Horst
author_facet Lenske, Horst
Bellone, Jessica
Colonna, Maria
Gambacurta, Danilo
Lay Valera, José Antonio
author_role author
author2 Bellone, Jessica
Colonna, Maria
Gambacurta, Danilo
Lay Valera, José Antonio
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
Ministerio de Ciencia e Innovación (MICIN). España
Agencia Estatal de Investigación. España
dc.subject.none.fl_str_mv reaction theory
nuclear many-body theory
double-charge-exchange reactions
double-beta decay
induced interactions
nuclear matrix elements
topic reaction theory
nuclear many-body theory
double-charge-exchange reactions
double-beta decay
induced interactions
nuclear matrix elements
description 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.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/161287
https://doi.org/10.3390/universe10020093
url https://hdl.handle.net/11441/161287
https://doi.org/10.3390/universe10020093
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Universe, 10 (2), 93.
PID2020-114687GB-I00
https://doi.org/10.3390/universe10020093
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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