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How do mirror charge radii constrain density dependence of the symmetry energy?

Journal Article · · Physics Letters. B
 [1]
  1. TRIUMF, Vancouver, BC (Canada); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). National Center for Computational Sciences (NCCS)

It has recently been suggested that differences in the charge radii of mirror nuclei (Δ$$R^{mirr}_{ch}$$) are strongly correlated with the neutron-skin thickness ($$R_{skin}$$) of neutron-rich nuclei and with the slope of the symmetry energy ($$L$$). To test this assumption, we present ab initio calculations of $$R_{skin}$$ in 48Ca and 208Pb, Δ$$R^{mirr}_{ch}$$ in 36Ca$$-$$36S, 38Ca$$-$$38Ar, 41Sc$$-$$41Ca, 48Ni$$-$$48Ca, 52Ni$$-$$52Cr, and 54Ni$$-$$54Fe mirror pairs, and $$L$$. Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among Δ$$R^{mirr}_{ch}$$, $$R_{skin}$$ and $$L$$, accounting for quantified uncertainties from low-energy constants of chiral interaction, chiral effective field theory truncation and many-body method approximation. The ab initio results reveal an appreciable Δ$$R^{mirr}_{ch}$$ $$-$$ $$L$$ correlation in $fp$-shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied $sd$-shell mirror pairs do not exhibit any Δ$$R^{mirr}_{ch}$$ $$-$$ $$L$$ correlation.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2447338
Journal Information:
Physics Letters. B, Journal Name: Physics Letters. B Vol. 857; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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