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| Asıl Yazarlar: | , , , , |
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| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2020
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/2010.02450 |
| Etiketler: |
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| _version_ | 1866911026660769792 |
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| author | Tagami, Shingo Wakasa, Tomotsugu Matsui, Jun Takechi, Maya Yahiro, Masanobu |
| author_facet | Tagami, Shingo Wakasa, Tomotsugu Matsui, Jun Takechi, Maya Yahiro, Masanobu |
| contents | The reaction cross section $σ_R$ is useful to determine the neutron radius $R_n$ as well as the matter radius $R_m$.
The chiral (Kyushu) $g$-matrix folding model for $^{12}$C scattering on $^{9}$Be, $^{12}$C, $^{27}$Al targets was tested in the incident energy range of $30 \lsim E_{\rm in} \lsim 400 $ MeV, and it is found that the model reliably reproduces the $σ_R$ in $30 \lsim E_{\rm in} \lsim 100 $ MeV and $250 \lsim E_{\rm in} \lsim 400$ MeV. \item[Aim]
We determine $R_n$ and the neutron skin thickness $R_{\rm skin}$ of ${}^{208}{\rm Pb}$ by using high-quality $σ_R$ data for the $p+{}^{208}{\rm Pb}$ scattering in $30 \leq E_{\rm in} \leq 100$ MeV.
The theoretical model is the Kyushu $g$-matrix folding model with the densities calculated with Gongny-D1S HFB (GHFB) with the angular momentum projection (AMP). \item[Results]
The Kyushu $g$-matrix folding model with the GHFB+AMP densities underestimates $σ_{\rm R}$ in $30 \leq E_{\rm in} \leq 100$~MeV only by a factor of 0.97.
Since the proton radius $R_p$ calculated with GHFB+AMP agrees with the precise experimental data of 5.444 fm, the small deviation of the theoretical result from the data on $σ_R$ allows us to scale the GHFB+AMP neutron density so as to reproduce the $σ_R$ data.
In $E_{\rm in}$ = 30--100 MeV, the experimental $σ_R$ data can be reproduced by assuming the neutron radius of ${}^{208}{\rm Pb}$ as $R_n$ = $5.722 \pm 0.035$ fm. \item[Conclusion]
The present result $R_{\rm skin}$ = $0.278 \pm 0.035$ fm is in good agreement with the recent PREX-II result of $r_{\rm skin}$ = $0.283\pm 0.071$ fm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_02450 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Neutron skin thickness of ${}^{208}$Pb determined from reaction cross section for proton scattering Tagami, Shingo Wakasa, Tomotsugu Matsui, Jun Takechi, Maya Yahiro, Masanobu Nuclear Theory Nuclear Experiment The reaction cross section $σ_R$ is useful to determine the neutron radius $R_n$ as well as the matter radius $R_m$. The chiral (Kyushu) $g$-matrix folding model for $^{12}$C scattering on $^{9}$Be, $^{12}$C, $^{27}$Al targets was tested in the incident energy range of $30 \lsim E_{\rm in} \lsim 400 $ MeV, and it is found that the model reliably reproduces the $σ_R$ in $30 \lsim E_{\rm in} \lsim 100 $ MeV and $250 \lsim E_{\rm in} \lsim 400$ MeV. \item[Aim] We determine $R_n$ and the neutron skin thickness $R_{\rm skin}$ of ${}^{208}{\rm Pb}$ by using high-quality $σ_R$ data for the $p+{}^{208}{\rm Pb}$ scattering in $30 \leq E_{\rm in} \leq 100$ MeV. The theoretical model is the Kyushu $g$-matrix folding model with the densities calculated with Gongny-D1S HFB (GHFB) with the angular momentum projection (AMP). \item[Results] The Kyushu $g$-matrix folding model with the GHFB+AMP densities underestimates $σ_{\rm R}$ in $30 \leq E_{\rm in} \leq 100$~MeV only by a factor of 0.97. Since the proton radius $R_p$ calculated with GHFB+AMP agrees with the precise experimental data of 5.444 fm, the small deviation of the theoretical result from the data on $σ_R$ allows us to scale the GHFB+AMP neutron density so as to reproduce the $σ_R$ data. In $E_{\rm in}$ = 30--100 MeV, the experimental $σ_R$ data can be reproduced by assuming the neutron radius of ${}^{208}{\rm Pb}$ as $R_n$ = $5.722 \pm 0.035$ fm. \item[Conclusion] The present result $R_{\rm skin}$ = $0.278 \pm 0.035$ fm is in good agreement with the recent PREX-II result of $r_{\rm skin}$ = $0.283\pm 0.071$ fm. |
| title | Neutron skin thickness of ${}^{208}$Pb determined from reaction cross section for proton scattering |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2010.02450 |