Extracting the neutron skin thickness of ¹²⁴Sn from the ¹²C + ¹²⁴Sn elastic scattering angular distribution*

Abstract The angular distribution of elastic scattering is highly sensitive to the surface region of the nucleus, making it a powerful tool for measuring the neutron skin thickness. Utilizing the CDM3Y6 double-folding potential, we extracted the neutron skin thickness of Sn from the C + Sn elastic scattering angular distribution, obtaining values of fm (SLy4) and fm (SLy7). These results are consistent with measurements from various other methods. Furthermore, through correlation analysis between the neutron skin thickness and nuclear symmetry energy slope parameter L , we determined the symmetry energy slope coefficients to be MeV (SLy4) and MeV (SLy7) based on the scattering data. These findings validate existing theoretical models and provide valuable insights for further studies on neutron stars and nuclear matter properties.