BΛ(H Λ 5 e) from short range effective field theory

L. Contessi*, N. Barnea, A. Gal

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

We present an effective field theory (EFT) at leading order to describe light single-Λ hypernuclei. Owing to the weak Λ binding and to the ΛN short interaction range, meson exchange forces are approximated by contact interactions within a pionless EFT(πEFT) where the only degrees of freedom are baryons. At leading order, the Λ-nuclear interaction contains two 2-body (singlet and triplet) and three 3-body interaction terms, a total of 5 terms associated with 5 coupling strengths or low energy constants (LECs). We adopt the 2-body LECs from hyperon-nucleon scattering data and interaction models that constrain the ΛN scattering lengths, while the 3-body LECs are adjusted using both 3-body and 4-body hypernuclear binding energies. To calculate the binding energies for A-body systems with A>2, we expand the wavefunctions using a correlated Gaussian basis. The stochastic variational method is employed to select the non-linear parameters. The resulting πEFT is then applied to calculate the Λ separation energy in Λ5He, where the adjusted 3-body interactions largely resolve the known overbinding problem of Λ5He.

Original languageAmerican English
Title of host publication13th International Conference on Hypernuclear and Strange Particle Physics, HYP 2018
EditorsReinhard Schumacher, Liguang Tang
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418721
DOIs
StatePublished - 25 Jul 2019
Event13th International Conference on Hypernuclear and Strange Particle Physics, HYP 2018 - Portsmouth, United States
Duration: 24 Jun 201829 Jun 2018

Publication series

NameAIP Conference Proceedings
Volume2130
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference13th International Conference on Hypernuclear and Strange Particle Physics, HYP 2018
Country/TerritoryUnited States
CityPortsmouth
Period24/06/1829/06/18

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

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