arXiv subjects

F. Hildenbrand

Publications and source records attributed to F. Hildenbrand.

2 recordsLinked to original sources

arXiv2020

Lifetime of the hypertriton

We calculate the lifetime of the hypertriton as function of the $Λ$ separation energy $B_Λ$ in an effective field theory with $Λ$ and deuteron degrees of freedom. We also consider the impact of new measurements of the weak decay parameter of the $Λ$. While the sensitivity of the total width to $B_Λ$ is small, the partial widths for decays into individual final states and the experimentally measured ratio $R=Γ_{^3\textrm{He}}/\left(Γ_{^3 \text{He}}+Γ_{pd}\right)$ show a strong dependence. For the standard value $B_Λ=(0.13\pm 0.05)$ 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 $B_Λ=(0.41\pm0.12\pm0.11)$ MeV, we obtain $R=0.57\pm 0.11$.

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arXiv2020

Three-Body Hypernuclei in Pionless Effective Field Theory

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect and a three-body parameter is required at leading order. We apply our theory to the hypertriton and the hypothetical $Λnn$ bound state and calculate the corresponding scaling factors. Moreover, we discuss constraints on the existence of the $Λnn$ bound state. In particular, we elucidate universal correlations between different observables and provide explicit calculations of wave functions and matter radii.

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