Neutrino-nucleus reactions and muon capture in <SUP>12</SUP>C

The neutrino-nucleus cross section and the muon-capture rate are discussed within a simple formalism that facilitates nuclear structure calculations. The corresponding formulas depend on only four types of nuclear matrix elements currently used in nuclear β decay. We have also considered nonlocality...

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Detalles Bibliográficos
Autores: Krmpotić, Francisco, Samana, Arturo Rodolfo, Mariano, Alejandro Edgardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/126454
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126454
Access Level:acceso abierto
Palabra clave:Ciencias Exactas
Física
Astronomía
neutrino-nucleus reactions
nonlocality effects
Physics
hadronic current
quasiparticles
neutrino oscillation
Descripción
Sumario:The neutrino-nucleus cross section and the muon-capture rate are discussed within a simple formalism that facilitates nuclear structure calculations. The corresponding formulas depend on only four types of nuclear matrix elements currently used in nuclear β decay. We have also considered nonlocality effects arising from the velocity-dependent terms in the hadronic current. We show that for both observables in ¹²C the higher order relativistic corrections are of the order of ∼5% only and therefore do not play a significant role. As a nuclear model framework we use the projected quasiparticle random-phase approximation and show that the number projection plays a crucial role in removing the degeneracy between the proton-neutron two-quasiparticle states at the level of the mean field. Comparison is done with both the experimental data and the previous shell model calculations. The possible consequences of the present study on the determination of the ν<sub>μ</sub> → ν<sub>e</sub> neutrino oscillation probability are briefly addressed.