nucl-th digest · Feb 20, 2023

[Submitted on 17 Feb 2023]

Neutron skin thickness of $^{116, 118, 120, 122, 124}$ Sn determined from reaction cross sections of proton scattering

Shingo Tagami · Tomotsugu Wakasa · Masanobu Yahiro

The cross sections of SDR in the Sb isotopes have been measured. Within the model used, the neutron-skin thicknesses $r_{skin} (exp)$ deduced $0.12 \pm 0.06$ fm for $^{116}$ Sn, $0.13 \pm 0.06$ fm for $^{118}$ Sn, $0.18 \pm 0.07$ fm for $^{120}$ Sn, $0.22 \pm 0.07$ fm for $^{122}$ Sn, $0.19 \pm 0.07$ fm for $^{124}$ Sn. We tested the chiral (Kyushu) $g$ -matrix folding model for $^{12}$ C+ $^{12}$ C scattering, and found that the Kyushu $g$ -matrix folding model is reliable for reaction cross sections $σ_{R}$ in $30 < E_{in} < 100$ MeV and $250 < E_{in} < 400$ MeV. We determine neutron skin thickness $r_{skin} (exp)$ , using measured $σ_{R}$ of $^{4}$ He+ $^{116, 120, 224}$ Sn scattering. The results are $r_{skin} (exp) = 0.242 \pm 0.140$ fm for $^{116}$ Sn, $r_{skin} (exp) = 0.377 \pm 0.140$ fm for $^{120}$ Sn, $r_{skin} (exp) = 0.180 \pm 0.142$ fm for $^{124}$ Sn. The $σ_{R}$ are available for proton scattering on $^{116, 118, 120, 122, 124}$ Sn with high accuracy. Our aim is to determine $r_{skin} (exp)$ for $^{116, 118, 120, 122, 124}$ Sn with small errors by using the Kyushu $g$ -matrix folding model. Our model is the folding model with the densities scaled from the D1S-GHFB+AMP neutron density. The proton radii of D1S-GHFB+AMP agree with those calculated with the isotope shift method based on the electron scattering. We then scale the neutron densities so as to reproduce the $σ_{R} (exp)$ . In $30 < E_{in} < 65$ MeV, we determine $r_{skin} (exp)$ from measured $σ_{R}$ . The values are $r_{skin} (exp) = 0.118 \pm 0.021$ ~fm for $^{116}$ Sn, $0.112 \pm 0.021$ fm for $^{118}$ Sn, $0.124 \pm 0.021$ fm for $^{120}$ Sn, $0.156 \pm 0.022$ fm for $^{124}$ Sn. As for $^{122}$ Sn, the skin value in $30 < E_{in} < 50$ MeV is $0.122 \pm 0.024$ fm. Our results are consistent with the previous values.

Comments:: arXiv admin note: text overlap with arXiv:2211.16688
Subjects:: Nuclear Theory (nucl-th)
arXiv:: 2302.08667 [pdf]

Results Phys.(2023)·3 citations

Monday·February 20, 2023

Neutron skin thickness of $^{116, 118, 120, 122, 124}$ Sn determined from reaction cross sections of proton scattering

Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation

Affiliations

Neutron skin thickness of 116,118,120,122,124Sn determined from reaction cross sections of proton scattering

Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation

Affiliations

Neutron skin thickness of $^{116, 118, 120, 122, 124}$ Sn determined from reaction cross sections of proton scattering