Folding model study of the charge-exchange scattering to the isobaric analog state and implication for the nuclear symmetry energy

Abstract

The Fermi transition (ΔL=ΔS=0 and ΔT=1) between the nuclear isobaric analog states (IAS), induced by the charge-exchange (p,n) or (3He,t) reaction, can be considered as "elastic" scattering of proton or 3He by the isovector term of the optical potential (OP) that flips the projectile isospin. The accurately measured (p,n) or (3He,t) scattering cross-section to the IAS can be used, therefore, to probe the isospin dependence of the proton or 3He optical potential. Within the folding model, the isovector part of the OP is determined exclusively by the neutron-proton difference in the nuclear densities and the isospin dependence of the effective nucleon-nucleon (NN) interaction. Because the isovector coupling explicitly links the isovector part of the proton or 3He optical potential to the cross section of the charge-exchange (p,n) or (3He,t) scattering to the IAS, the isospin dependence of the effective (in-medium) NN interaction can be well tested in the folding model analysis of these charge-exchange reactions. On the other hand, the same isospin- and density dependent NN interaction can also be used in a Hartree-Fock calculation of asymmetric nuclear matter, to estimate the nuclear matter energy and its asymmetry part (the nuclear symmetry energy). As a result, the fine-tuning of the isospin dependence of the effective NN interaction against the measured (p,n) or (3He,t) cross sections should allow us to make some realistic prediction of the nuclear symmetry energy and its density dependence.

Accepted for publication in European Physical Journal A - "Hadrons and Nuclei"

References in corpus (13)

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• Neutron-Rich Nuclei in Heaven and Earth
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• Equation of state of the neutron star matter, and the nuclear symmetry energy
• Validating relativistic models of nuclear structure against theoretical, experimental, and observational constraints
• Folding model study of the isobaric analog excitation: isovector density dependence, Lane potential and nuclear symmetry energy
• Neutron scattering from 208Pb at 30.4 and 40.0 MeV and isospin dependence of the nucleon optical potential
• Constraining the density dependence of the symmetry energy in the nuclear equation of state using heavy ion beams

Cited by in corpus (12)

• Nucleon Effective Masses in Neutron-Rich Matter
• Symmetry Energy III: Isovector Skins
• Mean-field study of hot beta-stable protoneutron star matter: Impact of the symmetry energy and nucleon effective mass
• Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin
• Rearrangement term in the nonlocal folding model of the nucleon optical potential
• Prediction of (p,n) Charge-Exchange Reactions with Uncertainty Quantification
• Equation of state of asymmetric nuclear matter and the tidal deformability of neutron star
• Study of ($p,n$)IAS and (${}^3$He,$t$)IAS charge-exchange reactions with the $G$-matrix folding method
• Spin-polarized $\beta$-stable neutron star matter: the nuclear symmetry energy and GW170817 constraint
• Exploring sensitivity of charge-exchange ($p,n$) reactions to the neutron density distribution
• Neutron skin impurity from Coulomb core polarization in ${}^{208}\text{Pb}$: Insights from PREX-II and validation via the ${(}^3\text{He},t)$ isobaric analog state reaction
• Origins and Impacts of High-Density Symmetry Energy