Abstract
The separation energies in the mirror hypernuclei exhibit large charge symmetry breaking (CSB). Analyzing this CSB within pionless effective field theory while using partially conserved baryon-baryon SU(3) flavor symmetry, we deduce a induced in-medium admixture amplitude in the dominantly isospin hyperon. Our results confirm the free-space value inferred directly within the SU(3) baryon octet by Dalitz and von Hippel in 1964 and reaffirmed in a recent QED lattice calculation. Furthermore, exploring the consequences of SU(3) flavor symmetry on the -nucleon interaction, we find that CSB is expected to impact the and spin channels in opposite directions, with the latter dominating by an order of magnitude. These observations explain a recent deduction of -nucleon CSB strengths.
- Received 22 February 2022
- Revised 15 April 2022
- Accepted 19 August 2022
- Corrected 16 March 2023
DOI:https://doi.org/10.1103/PhysRevC.106.L031001
©2022 American Physical Society
Physics Subject Headings (PhySH)
Corrections
16 March 2023
Correction: Missing superscripts in Eqs. (4) and (5) and a missing summation in Eq. (9) have been inserted.