Quantum interference terms in nonmesonic weak decay of $\Lambda$-hypernuclei within a RPA formalism

Abstract

Single and double coincidence nucleon spectra in the $\Lambda$-hypernuclei weak decay are evaluated and discussed using a microscopic formalism. Nuclear matter is employed together with the local density approximation which allows us to analyze the ${}_{\Lambda }^{12}C$ hypernucleus non-mesonic weak decay. Final state interactions (FSI) are included via the first order (in the nuclear residual interaction) terms to the RPA, where the strong residual interaction is modelled by a Bonn potential. At this level of approximation, these FSI are pure quantum interference terms between the primary decay $(\Lambda N\to NN)$ and $(\Lambda N\to NN\to NN)$, where the strong interaction is responsible for the last piece in the second reaction. Also the Pauli exchange contributions are explicitly evaluated. We show that the inclusion of Pauli exchange terms is important. A comparison with data is made. We conclude that the limitations in phase space in the RPA makes this approximation inadequate to reproduce the nucleon spectra. This fact, does not allow us to draw a definite conclusion about the importance of the interference terms.

39 pages, 10 figures

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Cited by in corpus (9)

• Exchange terms in the two--nucleon induced non--mesonic weak decay of $\Lambda$--hypernuclei
• On the role of ground state correlations in hypernuclear non-mesonic weak decay
• Microscopic Approach to Nucleon Spectra in Hypernuclear Non-Mesonic Weak Decay
• Ground state normalization in the nonmesonic weak decay of ${}_{\Lambda }^{12}C$ hypernucleus within a nuclear matter formalism
• Kinetic energy sum spectra in nonmesonic weak decay of hypernuclei
• Microscopic approach to the proton asymmetry in the non-mesonic weak decay of Lambda-hypernuclei
• Relationships between nonmesonic-weak-decays in different hypernuclei
• On the effect of the Delta(1232) in hypernuclear non-mesonic weak decay: a microscopic approach
• A Theoretical Determination of N_{nn}/N_{np} in Hypernuclear Non--Mesonic Weak Decay