An EFT for the weak $\Lambda N$ interaction

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 ($\pi$ 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 ${}_{\Lambda }^5\mathrm{He}$, ${}_{\Lambda }^{11}\mathrm{B}$ and ${}_{\Lambda }^{12}\mathrm{C}$ yields reasonable values for the low-energy constants.

Contribution to the Proceedings of the VIII International Conference on Hypernuclear and Strange Particle Physics, HYP03, revised version. 10 pages. Uses espcrc1.sty

References in corpus (15)

• Chiral Dynamics in Nucleons and Nuclei
• Soft-core hyperon-nucleon potentials
• Soft-core baryon-baryon potentials for the complete baryon octet
• Effective Field Theory of Nuclear Forces
• Vector meson production and nucleon resonance analysis in a coupled-channel approach for energies m_N < sqrt(s) < 2 GeV I: pion-induced results and hadronic parameters
• The $\eta$NN Coupling in Eta Photoproduction
• The Weak Decay of Hypernuclei
• Theory of Weak Hypernuclear Decay
• Meson exchange in the weak decay of Lambda hypernuclei and the Gamma_n/Gamma_p ratio
• Final State Interactions in Hypernuclear Decay
• Weak decays of medium and heavy Lambda-hypernuclei
• $\Lambda N\to NN$ weak interaction in effective field theory
• The $\eta NN$ coupling constant
• Subleading corrections to parity violating pion photoproduction
• Final state interactions in nonleptonic hyperon decays

Cited by in corpus (6)

• Strangeness in nuclear physics
• Single and double coincidence nucleon spectra in the weak decay of Lambda hypernuclei
• One-loop contributions in the EFT for the $\Lambda N\to NN$ transition
• Current constraints on the EFT for the ΛN --> N N transition
• Hypernuclear constraints on the existence and lifetime of a deeply bound $H$ dibaryon
• Next-to-leading order effective field theory $\Lambda N\to NN$ potential in coordinate space