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Isospin symmetry breaking in the charge radius difference of mirror nuclei
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Isospin symmetry breaking (ISB) effects in the charge radius difference Δ ch of mirror nuclei are studied using the test example of 48Ca and 48Ni . This choice allows for a transparent study of ISB contributions since pairing and deformation effects, commonly required for the study of mirror nuclei, can be neglected in this specific pair. The connection of Δ ch with the nuclear equation of state and the effect of ISB on such a relation are discussed according to an energy density functional approach. We find that nuclear ISB effects may shift the estimated value for the symmetry energy slope parameter by about 6 to 14 MeV while Coulomb corrections can be neglected. ISB effects on the ground-state energy and charge radii in mirror nuclei have been recently predicted by ab initio calculations to be relatively small, pointing to a negligible effect for the extraction of information on the nuclear EoS. These contrasting results call for a dedicated theoretical effort to solve this overarching problem that impacts not only the neutron-skin thickness or the difference in mass and charge radii of mirror nuclei but also other observables such as the isobaric analog state energy.
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NAITO, Tomoya, ROCA MAZA, Xavier, COLÒ, Gianluca, LIANG, Haozhao, SAGAWA, Hiroyuki. Isospin symmetry breaking in the charge radius difference of mirror nuclei. _Physical Review C_. 2022. [consulta: 21 de gener de 2026]. ISSN: 2469-9985. [Disponible a: https://hdl.handle.net/2445/215888]