Determination of matter radius and neutron-skin thickness of $^{60,62,64}$Ni from reaction cross section of proton scattering on $^{60,62,64}$Ni targets (published in Results in Physics)

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Main Authors: Tagami, Shingo, Wakasa, Tomotsugu, Yahiro, Masanobu
Format: Preprint
Published: 2023
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author Tagami, Shingo
Wakasa, Tomotsugu
Yahiro, Masanobu
author_facet Tagami, Shingo
Wakasa, Tomotsugu
Yahiro, Masanobu
contents In our previous work, we determined matter radii $r_{\rm m}({\rm exp})$ and neutron-skin thickness $r_{\rm skin}({\rm exp})$ from reaction cross sections $σ_{\rm R}({\rm exp})$ of proton scattering on $^{208}$Pb, $^{58}$Ni, $^{40,48}$Ca, $^{12}$C targets, using the chiral (Kyushu) $g$-matrix folding model with the densities calculated with Gogny-D1S-HFB (D1S-GHFB) with angular momentum projection (AMP). The resultant $r_{\rm skin}({\rm exp})$ agree with the PREX2 and CREX values. As for $^{58}$Ni, our value is consistent with one determined from the differential cross section for $^{58}$Ni+$^{4}$He scattering. As for p+$^{60,62,64}$N scattering, $σ_{\rm R}({\rm exp})$ are available as a function of incident energies $E_{\rm in}$, where $E_{\rm in}=22.8 \sim 65.5$~MeV for $^{60}$Ni, $E_{\rm in}=40,60.8$~MeV for $^{62}$Ni, $E_{\rm in}=40, 60.8$~MeV for $^{64}$Ni. Our aim is to determine matter radii $r_{\rm m}({\rm exp})$ for $^{60,62,64}$Ni from the $σ_{\rm R}({\rm exp})$. Our method is the Kyushu $g$-matrix folding model with the densities scaled from D1S-GHFB+AMP densities, Our skin values are $r_{\rm skin}({\rm exp})=0.076 \pm 0.019,~0.106 \pm 0.192,~0.162 \pm 0.176$~fm, and $r_{\rm m}({\rm exp})=3.759 \pm 0.011,~3.811 \pm 0.107,~3.864 \pm 0.101$~fm for $^{60,62,64}$Ni, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2307_04974
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Determination of matter radius and neutron-skin thickness of $^{60,62,64}$Ni from reaction cross section of proton scattering on $^{60,62,64}$Ni targets (published in Results in Physics)
Tagami, Shingo
Wakasa, Tomotsugu
Yahiro, Masanobu
Nuclear Theory
Nuclear Experiment
In our previous work, we determined matter radii $r_{\rm m}({\rm exp})$ and neutron-skin thickness $r_{\rm skin}({\rm exp})$ from reaction cross sections $σ_{\rm R}({\rm exp})$ of proton scattering on $^{208}$Pb, $^{58}$Ni, $^{40,48}$Ca, $^{12}$C targets, using the chiral (Kyushu) $g$-matrix folding model with the densities calculated with Gogny-D1S-HFB (D1S-GHFB) with angular momentum projection (AMP). The resultant $r_{\rm skin}({\rm exp})$ agree with the PREX2 and CREX values. As for $^{58}$Ni, our value is consistent with one determined from the differential cross section for $^{58}$Ni+$^{4}$He scattering. As for p+$^{60,62,64}$N scattering, $σ_{\rm R}({\rm exp})$ are available as a function of incident energies $E_{\rm in}$, where $E_{\rm in}=22.8 \sim 65.5$~MeV for $^{60}$Ni, $E_{\rm in}=40,60.8$~MeV for $^{62}$Ni, $E_{\rm in}=40, 60.8$~MeV for $^{64}$Ni. Our aim is to determine matter radii $r_{\rm m}({\rm exp})$ for $^{60,62,64}$Ni from the $σ_{\rm R}({\rm exp})$. Our method is the Kyushu $g$-matrix folding model with the densities scaled from D1S-GHFB+AMP densities, Our skin values are $r_{\rm skin}({\rm exp})=0.076 \pm 0.019,~0.106 \pm 0.192,~0.162 \pm 0.176$~fm, and $r_{\rm m}({\rm exp})=3.759 \pm 0.011,~3.811 \pm 0.107,~3.864 \pm 0.101$~fm for $^{60,62,64}$Ni, respectively.
title Determination of matter radius and neutron-skin thickness of $^{60,62,64}$Ni from reaction cross section of proton scattering on $^{60,62,64}$Ni targets (published in Results in Physics)
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2307.04974