Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model

We derive general analytical expressions for the evaluation of the intrinsic asymmetry parameter in nonmesonic hypernuclear weak decay, within an independent particle shell model framework. Present formalism is valid for even-even, even-odd and odd-odd core hypernucleus. A standard strangeness-chang...

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Autores principales: Barbero, César Alberto, Mariano, Alejandro Edgardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123844
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id I19-R120-10915-123844
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
Física
Hypernuclear decay
Asymmetry parameter
One-meson-exchange
Independent particle shell model
spellingShingle Ciencias Exactas
Física
Hypernuclear decay
Asymmetry parameter
One-meson-exchange
Independent particle shell model
Barbero, César Alberto
Mariano, Alejandro Edgardo
Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
topic_facet Ciencias Exactas
Física
Hypernuclear decay
Asymmetry parameter
One-meson-exchange
Independent particle shell model
description We derive general analytical expressions for the evaluation of the intrinsic asymmetry parameter in nonmesonic hypernuclear weak decay, within an independent particle shell model framework. Present formalism is valid for even-even, even-odd and odd-odd core hypernucleus. A standard strangeness-changing weak transition potential with exchange of the complete meson octet (π, η, K, ρ, ω, K*) is assumed. Very simple analytical formulas are obtained within the s-wave approximation when we restrict to the π and π+K exchange models, providing an useful and manageable tool to understand the origin of the discrepancies between theoretical and experimental results. Numerical values for ⁴<sub>Λ</sub>He, ⁵<sub>Λ</sub>He, ¹¹<sub>Λ</sub>B, ¹²<sub>Λ</sub>C, ¹⁶<sub>Λ</sub>O, ¹⁷<sub>Λ</sub>O and ²⁸<sub>Λ</sub>Si hypernuclei are exhibited. Present formalism could be used to understand why new contributions to the exchange potential allow to obtain good agreement with data, as indicated in very recent works. The necessity of a consistent inclusion of: i) different modifications of the exchange potential (two-pion exchange, a₁ meson, ΔT = 3/2 terms coming from vector mesons, etc); ii) final state interactions on primary nucleons inside the residual nucleus and also correlations between the free emitted ones; and iii) configuration mixing in the final system, is remarked.
format Articulo
Articulo
author Barbero, César Alberto
Mariano, Alejandro Edgardo
author_facet Barbero, César Alberto
Mariano, Alejandro Edgardo
author_sort Barbero, César Alberto
title Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
title_short Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
title_full Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
title_fullStr Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
title_full_unstemmed Intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
title_sort intrinsic asymmetry parameter in nonmesonic hypernuclear decay: analytical proof of the independence on hypernucleus within an independent particle shell model
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/123844
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AT marianoalejandroedgardo intrinsicasymmetryparameterinnonmesonichypernucleardecayanalyticalproofoftheindependenceonhypernucleuswithinanindependentparticleshellmodel
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