Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C

We present general explicit expressions for a shell-model calculation of the vector hypernuclear parameter in nonmesonic weak decay. We use a widely accepted effective coupling Hamiltonian involving the exchange of the complete pseudoscalar and vector meson octets (π, η, K, ρ, ω, K*). In contrast to...

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Autores principales: Barbero, César Alberto, Krmpotic, Francisco, Galeão, Alfredo P.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83569
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id I19-R120-10915-83569
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Asymmetry parameter
Hypernuclear decay
One-meson-exchange model
spellingShingle Ciencias Exactas
Asymmetry parameter
Hypernuclear decay
One-meson-exchange model
Barbero, César Alberto
Krmpotic, Francisco
Galeão, Alfredo P.
Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
topic_facet Ciencias Exactas
Asymmetry parameter
Hypernuclear decay
One-meson-exchange model
description We present general explicit expressions for a shell-model calculation of the vector hypernuclear parameter in nonmesonic weak decay. We use a widely accepted effective coupling Hamiltonian involving the exchange of the complete pseudoscalar and vector meson octets (π, η, K, ρ, ω, K*). In contrast to the approximated formula widely used in the literature, we correctly treat the contribution of transitions originated from single-proton states beyond the s-shell. Exact and simple analytical expressions are obtained for the particular cases of 5ΛHe and 12ΛC, within the one-pion-exchange model. Numerical computations of the asymmetry parameter, a<SUB>Λ</SUB>, are presented. Our results show a qualitative agreement with other theoretical estimates but also a contradiction with recent experimental determinations. Our simple analytical formulas provide a guide in searching the origin of such discrepancies, and they will be useful for helping to solve the hypernuclear weak decay puzzle.
format Articulo
Articulo
author Barbero, César Alberto
Krmpotic, Francisco
Galeão, Alfredo P.
author_facet Barbero, César Alberto
Krmpotic, Francisco
Galeão, Alfredo P.
author_sort Barbero, César Alberto
title Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
title_short Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
title_full Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
title_fullStr Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
title_full_unstemmed Simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5Λ He and 12Λ C
title_sort simple analytical expression for vector hypernuclear asymmetry in nonmesonic decay of 5λ he and 12λ c
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83569
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