Lifetime of the hypertriton

Abstract

We calculate the lifetime of the hypertriton as function of the $\Lambda$ separation energy $B_{\Lambda }$ in an effective field theory with $\Lambda$ and deuteron degrees of freedom. We also consider the impact of new measurements of the weak decay parameter of the $\Lambda$. While the sensitivity of the total width to $B_{\Lambda }$ is small, the partial widths for decays into individual final states and the experimentally measured ratio $R={\Gamma }_{{}^3\text{He}}/\left({\Gamma }_{{}^3\text{He}}+{\Gamma }_{pd}\right)$ show a strong dependence. For the standard value $B_{\Lambda }=(0.13\pm 0.05)$ MeV, we find $R=0.37\pm 0.05$, which is in good agreement with past experimental studies and theoretical calculations. For the recent STAR value $B_{\Lambda }=(0.41\pm 0.12\pm 0.11)$ MeV, we obtain $R=0.57\pm 0.11$.

17 pages, 9 figures, J=3/2 FSI added, typos corrected

References in corpus (1)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry

Cited by in corpus (8)

• The ALICE experiment: a journey through QCD
• Measurements of ${}_{\Lambda }^3\mathrm{H}$ and ${}_{\Lambda }^4\mathrm{H}$ Lifetimes and Yields in Au+Au Collisions in the High Baryon Density Region
• Measurement of the lifetime and $\Lambda$ separation energy of ${}_{\Lambda }^3\mathrm{H}$
• Nature of the $\Lambda nn$ $(J^{\pi }=1/2^{+},I=1)$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states
• Few nucleons scattering in pionless effective field theory
• Lattice Monte Carlo Simulations with Two Impurity Worldlines
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• Recent progress on few-body hypernuclei