Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei

Abstract

A novel comparison between the data and the theory is proposed for the nonmesonic (NM) weak decay of hypernuclei. Instead of confronting the primary decay rates, as is usually done, we focus attention on the effective decay rates that are straightforwardly related with the number of emitted particles. Proton kinetic energy spectra of ${}_{\Lambda }^5$He, ${}_{\Lambda }^7$Li, ${}_{\Lambda }^9$Be, ${}_{\Lambda }^{11}$B, ${}_{\Lambda }^{12}$C, ${}_{\Lambda }^{13}$C, ${}_{\Lambda }^{15}$N and ${}_{\Lambda }^{16}$O, measured by FINUDA, are evaluated theoretically. The Independent Particle Shell Model (IPSM) is used as the nuclear structure framework, while the dynamics is described by the One-Meson-Exchange (OME) potential. Only for the ${}_{\Lambda }^5$He, ${}_{\Lambda }^7$Li, and ${}_{\Lambda }^{12}$C hypernuclei is it possible to make a comparison with the data, since for the rest there is no published experimental information on number of produced hypernuclei. Considering solely the one-nucleon-induced ($1N$-NM) decay channel, the theory reproduces correctly the shapes of all three spectra at medium and high energies ($E_p\ge 40$ MeV). Yet, it greatly overestimates their magnitudes, as well as the corresponding transition rates when the full OME ($\pi +K+\eta +\rho +\omega +K^{\ast }$) model is used. The agreement is much improved when only the $\pi +K$ mesons with soft dipole cutoff parameters participate in the decay process. We find that the IPSM is a fair first order approximation to disentangle the dynamics of the $1N$-NM decay, the knowledge of which is indispensable to inquire about the baryon-baryon strangeness-flipping interaction. It is shown that the IPSM provides very useful insights regarding the determination the $2N$-NM decay rate. In a new analysis of the FINUDA data, we derive two results for this quantity with one of them close to that obtained previously.

References in corpus (39)

• Construction of high-quality Nucleon-Nucleon potential models
• The Weak Decay of Hypernuclei
• Weak Decay of Lambda Hypernuclei
• Theory of Weak Hypernuclear Decay
• Final State Interactions in Hypernuclear Decay
• Neutron and proton spectra from the decay of $\Lambda$ hypernuclei
• Effects of the final-state interaction in ($\gamma$,pn) and ($\gamma$,pp) processes
• Towards the solution of the Gn/Gp Puzzle in the Non-Mesonic Weak Decay of Lambda-Hypernuclei
• Neutron and proton energy spectra from the non-mesonic weak decays of 5_Lambda-He and 12_Lambda-C
• Coincidence Measurement of the Nonmesonic Weak Decay of ^{12}_{Lambda}C
• Exclusive Measurement of the Nonmesonic Weak Decay of ^{5}_ΛHe Hypernucleus
• Nucleon-Nucleon Coincidence Spectra in the Non-Mesonic Weak Decay of Lambda-Hypernuclei and the n/p Puzzle
• New results on Mesonic Weak Decay of $p$-shell $\Lambda$-Hypernuclei
• Nonmesonic weak decay of light hypernuclei with coherent $\Sigma$ mixing
• Proton spectra from Non-Mesonic Weak Decay of p-shell Lambda-Hypernuclei and evidence for the two-nucleon induced process
• Measurement of the proton spectra from Non-Mesonic Weak Decay of ${}_{\Lambda }^{5}He$, ${}_{\Lambda }^{7}Li$ and ${}_{\Lambda }^{12}C$
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Exchange terms in the two--nucleon induced non--mesonic weak decay of $\Lambda$--hypernuclei
• $\Lambda N\to NN$ weak interaction in effective field theory
• On the role of ground state correlations in hypernuclear non-mesonic weak decay
• Two-pion-exchange in the non-mesonic weak decay of $\Lambda$-hypernuclei
• Single and double coincidence nucleon spectra in the weak decay of Lambda hypernuclei
• Kinematical and nonlocality effects on the nonmesonic weak hypernuclear decay
• Weak decays of 4He-Lambda
• The piNN vertex function in a meson-theoretical model
• 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
• Relativistic descriptions of final-state interactions in charged-current neutrino-nucleus scattering at ArgoNeuT kinematics
• Final state interactions in the electroweak nuclear response
• s-Wave Approximation for Asymmetry in Nonmesonic Decay of Finite Hypernuclei
• Minimal 3-3-1 model, lepton mixing and muonium-antimuonium conversion
• Nonmesonic weak decay spectra of ${}_{\Lambda }^4$He
• Relationships between nonmesonic-weak-decays in different hypernuclei
• Weak nonmesonic decay spectra of hypernuclei
• Nonmesonic weak decay of Lambda-hypernuclei within independent-particle shell-model
• Nucleon-nucleon coincidence measurement in the non-mesonic weak decay of 5_Lambda-He and 12_Lambda-C hypernuclei
• Nonmesonic Hyperon Weak Decay Spectra in ${}_{\Lambda }^{12}$C}
• Nonmesonic weak decay spectra of light hypernuclei
• Nonmesonic Weak Decay Spectra and Three-Nucleon Emission

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