$\Lambda N\to NN$ weak interaction in effective field theory

Abstract

The nonleptonic weak $|\Delta S|=1$ $\Lambda N$ interaction, responsible for the dominant nonmesonic decay of all but the lightest hypernuclei, is studied in the framework of an effective field theory. The long-range physics is described through tree-level exchange of the SU(3) Goldstone bosons, while the short-range potential is parametrized in terms of the lowest-order contact terms. We obtain reasonable fits to available weak hypernuclear decay rates and quote the values for the parity-violating asymmetry as predicted by the present effective field theory.

5 pages, no figures. Leading order parity violating coefficients corrected. To appear in Phys. Rev. C (Rapid Communications)

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Cited by in corpus (19)

• Strangeness in nuclear physics
• Strangeness nuclear physics: a critical review on selected topics
• Hyperons: the strange ingredients of the nuclear equation of state
• Single and double coincidence nucleon spectra in the weak decay of Lambda hypernuclei
• Two-pion-exchange in the non-mesonic weak decay of $\Lambda$-hypernuclei
• Asymmetries in the Non-Mesonic Weak Decay of Polarized Lambda-Hypernuclei
• Asymmetry parameter for nonmesonic hypernuclear decay
• $\sigma$ meson exchange effect on nonmesonic hypernuclear weak decay observables
• An EFT for the weak $\Lambda N$ interaction
• Current constraints on the EFT for the ΛN --> N N transition
• One-loop contributions in the EFT for the $\Lambda N\to NN$ transition
• Microscopic approach to the proton asymmetry in the non-mesonic weak decay of Lambda-hypernuclei
• Relationships between nonmesonic-weak-decays in different hypernuclei
• Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon
• Non-Mesonic Weak Decay of Lambda-hypernuclei: a new determination of the Gn/Gp ratio
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei
• Models of the Nonmesonic Weak Decay
• Next-to-leading order effective field theory $\Lambda N\to NN$ potential in coordinate space
• Effects of $\Lambda \Lambda -\Xi N$ mixing in the decay of $S=-2$ hypernuclei