Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope

Abstract

A correlation between the charge radii difference of mirror partner nuclei $\Delta R_{\mathrm{ch}}$ 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 $\Delta R_{\mathrm{ch}}$ are systematically investigated based on the Skyrme energy density functional theory. The calculated results suggest that the linear correlation between $\Delta R_{\mathrm{ch}}$ and $L$ is decreased by the surface pairing correlations. The slope parameter deduced from the difference of charge radii of mirror-pair nuclei ${}^{32}$Ar-${}^{32}$Si, ${}^{36}$Ca-${}^{36}$S, ${}^{38}$Ca-${}^{38}$Ar, and ${}^{54}$Ni-${}^{54}$Fe 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.

arXiv comment8 pages, 4 figures, 2 tables

References in corpus (61)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• Skyrme Interaction and Nuclear Matter Constraints
• Neutron Radii in Mean-Field Models
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Microscopic determination of the nuclear incompressibility within the non-relativistic framework
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Quantum Phase Transition in the Shape of Zr isotopes
• Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
• Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness
• Probing high-density behavior of symmetry energy from pion emission in heavy-ion collisions
• Probing the Symmetry Energy with Heavy Ions
• Laser Spectroscopy for the Study of Exotic Nuclei
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Unmasking the nuclear matter equation of state
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• Probing the Nuclear Symmetry Energy with Heavy Ion Collisions
• Shell and isospin effects in nuclear charge radii
• Relativistic mean field theory for deformed nuclei with pairing correlations
• Constraints on the symmetry energy and its associated parameters from nuclei to neutron stars
• Rare-Earth Nuclei: Radii, Isotope-Shifts and Deformation Properties in the Relativistic Mean Field Theory
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Microscopic Study of the Isoscalar Giant Monopole Resonance in Cd, Sn and Pb Isotopes
• Charge radii in covariant density functional theory: a global view
• Constraining the density slope of nuclear symmetry energy at subsaturation densities using electric dipole polarizability in ${}^{208}$Pb
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in ${}^{116,118,120,122,124,130,132}$Sn, ${}^{208}$Pb, and ${}^{48}$Ca
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Irregularities in nuclear radii at magic numbers
• Information content of the differences in the charge radii of mirror nuclei
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Probing the density dependence of symmetry energy via multifragmentation at sub-saturation densities
• Adaptive Multi-resolution 3D Hartree-Fock-Bogoliubov Solver for Nuclear Structure
• New charge radius relations for atomic nuclei
• Effects of nuclear symmetry energy and equation of state on neutron star properties
• Production mechanism of neutron-rich nuclei around $N=126$ in multi-nucleon transfer reaction ${}^{132}$Sn + ${}^{208}$Pb
• Measurement of the nuclear symmetry energy parameters from gravitational wave events
• Constraints on the Neutron Skin and the Symmetry Energy from the Anti-analog Giant Dipole Resonance in 208Pb
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Novel ansatz for charge radii in density functional theories
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter
• EoS constraints from nuclear masses and radii in a meta-modeling approach
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Hyperon halo structure of C and B isotopes
• Isospin-dependence of the charge-changing cross-section shaped by the charged-particle evaporation process
• Correlations between neutrons and protons near Fermi surface and $Q_{\alpha }$ of super-heavy nuclei
• Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei
• Influence of pairing correlations on the radius of neutron-rich nuclei
• Constraints on the neutron drip-line with the newly observed 39Na
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca
• Charge-changing cross section measurements of 300 MeV/nucleon ${}^{28}$Si on carbon and data analysis
• Constraining the equation of state of nuclear matter from competition of fusion and quasi-fission in the reactions leading to production of the superheavy elements
• Correlations between nuclear landscape boundaries and neutron-rich r-process abundances
• Constraint on nuclear symmetry energy from nuclear charge dependent neutron skin thickness of nuclei