Relativistic model for the nonmesonic weak decay of single-lambda hypernuclei

Abstract

Having in mind its future extension for theoretical investigations related to charmed nuclei, we develop a relativistic formalism for the nonmesonic weak decay of single-$\Lambda$ hypernuclei in the framework of the independent-particle shell model and with the dynamics represented by the $(\pi ,K)$ one-meson-exchange model. Numerical results for the one-nucleon-induced transition rates of ${}_{\Lambda }^{12}\text{C}$ are presented and compared with those obtained in the analogous nonrelativistic calculation. There is satisfactory agreement between the two approaches, and the most noteworthy difference is that the ratio ${\Gamma }_n/{\Gamma }_p$ is appreciably higher and closer to the experimental value in the relativistic calculation. Large discrepancies between ours and previous relativistic calculations are found, for which we do not encounter any fully satisfactory explanation. The most recent experimental data is well reproduced by our results. In summary, we have achieved our purpose to develop a reliable model for the relativistic calculation of the nonmesonic weak decay of $\Lambda$-hypernuclei, which can now be extended to evaluate similar processes in charmed nuclei.

References in corpus (11)

• Hard probes of short-range nucleon-nucleon correlations
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Binding of Hypernuclei in the Latest Quark-Meson Coupling Model
• Strangeness nuclear physics: a critical review on selected topics
• Mesonic and nonmesonic weak decay widths of medium-heavy lambda hypernuclei
• First determination of the one-proton induced Non-Mesonic Weak Decay width of p-shell Λ-Hypernuclei
• Kinetic energy sum spectra in nonmesonic weak decay of hypernuclei
• s-Wave Approximation for Asymmetry in Nonmesonic Decay of Finite Hypernuclei
• Nonmesonic weak decay of Lambda-hypernuclei within independent-particle shell-model
• Nonmesonic weak decay spectra of light hypernuclei
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei

Cited by in corpus (1)

• Nonmesonic weak decay of charmed hypernuclei