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

Abstract

The contribution of Pauli exchange terms to the two--nucleon induced non--mesonic weak decay of ${}_{\Lambda }^{12}$C hypernuclei, $\Lambda NN\to nNN$ ($N=n$ 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.

14 pages, 3 figures

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Cited by in corpus (10)

• Strangeness nuclear physics: a critical review on selected topics
• Proton spectra from Non-Mesonic Weak Decay of p-shell Lambda-Hypernuclei and evidence for the two-nucleon induced process
• On the role of ground state correlations in hypernuclear non-mesonic weak decay
• Single and double coincidence nucleon spectra in the weak decay of Lambda hypernuclei
• First determination of the one-proton induced Non-Mesonic Weak Decay width of p-shell Λ-Hypernuclei
• Relationships between nonmesonic-weak-decays in different hypernuclei
• Nonmesonic weak decay spectra of light hypernuclei
• Nonmesonic weak decay of charmed hypernuclei
• Nonmesonic Weak Decay of $\Lambda$ Hypernuclei: The Three--Nucleon Induced Mode
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei