A correlation between the charge radii difference of mirror partner nuclei ΔRch and the slope parameter L of symmetry energy has been built to ascertain the equation of state of isospin asymmetric nuclear matter. In this work, the influences of pairing correlations and isoscalar compression modulus on the ΔRch are systematically investigated based on the Skyrme energy density functional theory. The calculated results suggest that the linear correlation between ΔRch and L is decreased by the surface pairing correlations. The slope parameter deduced from the difference of charge radii of mirror-pair nuclei ³²Ar-³²Si, ³⁶Ca-³⁶S, ³⁸Ca-³⁸Ar, and ⁵⁴Ni-⁵⁴Fe falls into the range of L=42.57-50.64 MeV, that is, the rather soft equation of state of asymmetric nuclear matter. Besides, the range of the slope parameter can also be influenced by the effective forces classified by various isoscalar incompressibility coefficients.
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Ma et al. (2024) studied this question.
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