nucl-th digest · Nov 11, 2022

Skin values of $^{208}$ Pb and $^{48}$ Ca determined from reaction cross sections (published in Results in Physics)

Tomotsugu Wakasa · Shingo Tagami · Masanobu Yahiro

The PREX and the CREX group reported their skin values. Using the Love-Franey (LF) $t$ -matrix folding model with the neutron and proton densities scaled to the neutron radius $r_{n}^{208} (PREX2)$ and the proton radius of the electron scattering, we found that the model reproduces $σ_{R}$ for p+ $^{208}$ Pb scattering at $E_{lab} = 534.1, 549, 806$ MeV. Zenihiro {\it el al. } deduce neutron radii $r_{n}^{48, 40} (exp)$ from proton elastic scattering, whereas we determine $r_{m}^{40} (exp) = 3.361 \pm 0.075$ fm from measured $σ_{R}$ for $^{4}$ He+ $^{40}$ Ca scattering. Our first aim is to determine $r_{skin}^{208}$ from measured $σ_{R}$ of p+ $^{208}$ Pb scattering at $E_{lab} = 534.1, 549, 806$ MeV by using the LF $t$ -matrix folding model. Our second aim is to determine $r_{skin}^{48}$ from the $r_{m}^{40} (exp)$ and $Δ \equiv r_{m}^{48} (exp) - r_{m}^{40} (exp)$ that is evaluated from the $r_{n}^{48, 40} (exp)$ and the $r_{p}^{48, 40} (exp)$ calculated with the isotope shift method based on the electron scattering. For the first aim, we use the LF $t$ -matrix model with the densities scaled from the D1S-GHFB+AMP neutron density. The D1M-GHFB+AMP is used to estimate a theoretical error. The resulting skin values are $r_{skin}^{208} = 0.324 \pm 0.047$ fm for D1S and $r_{skin}^{208} (exp) = 0.333 \pm 0.047$ fm for D1M. The $Δ = 0.109$ fm and $r_{m}^{40} (exp) = 3.361 \pm 0.075$ fm yield $r_{m}^{48} = 3.470 \pm 0.075$ fm, leading to $r_{skin}^{48} = 0.144 \pm 0.075$ fm. We conclude that $r_{skin}^{208} (exp) = 0.324 \pm (0.047)_{exp} \pm (0.009)_{th} fm$ for p scattering at $E_{lab} = 534.1, 549, 806$ MeV. Our skin values are consistent with the PREX2 and CREX values.

nucl-thnucl-ex0 citations

Structure and reaction study of Z=120 isotopes using non-relativistic and relativistic mean-field formalism

An extensive study is carried out for the island of stability in the superheavy nuclei of Z=120 and N=164-220 within the effective field theory motivated relativistic mean-field (E-RMF) and the non-relativistic Skyrme-Hartree-Fock (SHF) approaches. The relativistic G3 and IOPB-I and non-relativistic SLy4 and SkMP parameter sets are used for the investigations. Surface properties such as symmetry energy, neutron pressure and the curvature coefficient of symmetry energy are discussed within the coherent density fluctuation model (CDFM) using the Skyrme and the Brückner energy density functionals. The volume and surface contributions of symmetry energy are evaluated using Danielewicz's liquid drop approximation within the CDFM. The total nuclear reaction and elastic differential cross-sections are also obtained for both SHF and E-RMF within the Glauber model. The peaks in the symmetry energy at N = 182 for SHF and N=184 for E-RMF are seen, which are absent in the Brückner functional. The shifting of peak in the symmetry energy with Brückner functional can be correlated to the Coester-band problem. The enhanced total reaction cross-section for relativistic density of

^{304} 120

suggests the extra stability of this nucleus. This further confirms the shell/sub-shell closure of N = 184 in E-RMF force. The differential cross-section shows its force independent nature and significant increase with the scattering angle.

nucl-thPramana(2023)·9 citations

Friday·November 11, 2022

Skin values of $^{208}$ Pb and $^{48}$ Ca determined from reaction cross sections (published in Results in Physics)

Structure and reaction study of Z=120 isotopes using non-relativistic and relativistic mean-field formalism

Affiliations

Skin values of 208Pb and 48Ca determined from reaction cross sections (published in Results in Physics)

Structure and reaction study of Z=120 isotopes using non-relativistic and relativistic mean-field formalism

Affiliations

Skin values of $^{208}$ Pb and $^{48}$ Ca determined from reaction cross sections (published in Results in Physics)