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arXiv · 0902.1239

Exchange terms in the two--nucleon induced non--mesonic weak decay of $Λ$--hypernuclei

E. Bauer·G. Garbarino
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Abstract

The contribution of Pauli exchange terms to the two--nucleon induced non--mesonic weak decay of $^{12}_Λ$C hypernuclei, $ΛNN\to nNN$ ($N=n$ or $p$), is studied within a nuclear matter formalism implemented in a local density approximation. We have adopted a weak transition potential including the exchange of the complete octets of pseudoscalar and vector mesons as well as a residual strong interaction modeled on the Bonn potential. The introduction of exchange terms turns out to reduce the two--nucleon induced non--mesonic rate by 18% and, jointly with an increase in the one--nucleon induced rate by the same magnitude, reveals to be significant for an accurate determination of the full set of hypernuclear non--mesonic decay widths in theoretical and experimental analyses.

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E. Bauer, G. Garbarino. 2009-02-07. Exchange terms in the two--nucleon induced non--mesonic weak decay of $Λ$--hypernuclei. https://doi.org/10.1016/j.nuclphysa.2009.06.022

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