Ground state normalization in the nonmesonic weak decay of ${}_{\Lambda }^{12}C$ hypernucleus within a nuclear matter formalism

Abstract

The nonmesonic weak decay width of ${}_{\Lambda }^{12}C$ hypernucleus has been evaluated within a nuclear matter formalism, using the local density approximation. In addition to the one-body induced decay $(\Lambda N\to nN)$, it has been also considered the two-body induced decay $(\Lambda NN\to nNN)$. This second decay is originated from ground state correlations, where a renormalization procedure to ensure a ground state normalized to one has been implemented. Our results show that the plain addition of the two-body induced decay implies a lost in the ground state-norm, which adds $\sim 38$ of spurious intensity to the nonmesonic weak decay width. By an adequate selection of the $\Lambda N$-transition potential, our result for the nonmesonic weak decay width of ${}_{\Lambda }^{12}C$ is 0.956, in good agreement with the most recent data.

14 pages, 1 figure

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• 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
• Microscopic Approach to Nucleon Spectra in Hypernuclear Non-Mesonic Weak Decay
• Relationships between nonmesonic-weak-decays in different hypernuclei
• Nonmesonic weak decay spectra of light hypernuclei
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei