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An EFT for the weak Λ N interaction

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arxiv nucl-th/0312047 v2 pith:6I73NCUO submitted 2003-12-15 nucl-th

An EFT for the weak Λ N interaction

classification nucl-th
keywords lambdainteractionweakdecaytermsavailablebosonsconstants
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 ($\pi$ and $K$), while the short-range potential is parametrized in terms of lowest-order contact terms obtained from the most general non-derivative local four-fermion interaction. Fitting to available weak hypernuclear decay rates for $^5_\Lambda {\rm He}$, $^{11}_\Lambda {\rm B}$ and $^{12}_\Lambda {\rm C}$ yields reasonable values for the low-energy constants.

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Cited by 1 Pith paper

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  1. $\Lambda$ hyperons in core-collapse supernovae: Equilibration and neutrino opacities

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    Lambda hyperons equilibrate rapidly in post-collapse proto-neutron stars through nonleptonic NN to N Lambda processes and enhance low-energy muon neutrino opacities beyond nucleonic contributions.