Systematic Nuclear Uncertainties in the Hypertriton System

Abstract

The hypertriton bound state is relevant for inference of knowledge about the hyperon-nucleon (YN) interaction. In this work we compute the binding energy of the hypertriton using the ab initio hypernuclear no-core shell model (NCSM) with realistic interactions derived from chiral effective field theory. In particular, we employ a large family of nucleon-nucleon interactions with the aim to quantify the theoretical precision of predicted hypernuclear observables arising from nuclear-physics uncertainties. The three-body calculations are performed in a relative Jacobi-coordinate harmonic oscillator basis and we implement infrared correction formulas to extrapolate the NCSM results to infinite model space. We find that the spread of the predicted hypertriton binding energy, attributed to the nuclear-interaction model uncertainty, is about 100 keV. In conclusion, the sensitivity of the hypertriton binding energy to nuclear-physics uncertainties is of the same order of magnitude as experimental uncertainties such that this bound-state observable can be used in the calibration procedure to constrain the YN interactions.

7 pages, 3 figures, proceedings of the APFB2020 conference (1-5 March 2021, Kanazawa, Japan)

References in corpus (5)

• Hyperon-nucleon interactions - a chiral effective field theory approach
• Corrections to nuclear energies and radii in finite oscillator spaces
• Infrared length scale and extrapolations for the no-core shell model
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Error analysis of nuclear forces and effective interactions

Cited by in corpus (2)

• Study on $\Lambda nn$ Bound State and Resonance
• Lifetime of the hypertriton