A possible experimental observable for the determination of neutron skin thickness
Ma Chun-Wang(马春旺)a)b), Fu Yao(傅瑶)a)b), Fang De-Qing(方德清)a)†,Ma Yu-Gang(马余刚)a), Cai Xiang-Zhou(蔡翔舟)a), Guo Wei(郭威)a),Tian Wen-Dong(田文栋)a), and Wang Hong-Wei(王宏伟)a)
a Shanghai Institute of Applied Physics, Chinese Academy of Sciences, P. O. Box 800-204, Shanghai 201800, China; b Graduate School of Chinese Academy of Sciences, Beijing 100039, China
Abstract The dependence between neutron skin thickness and neutron abrasion cross section ($\sigma_{\rm nabr}$) for neutron-rich nuclei is investigated within the framework of the statistical abrasion ablation model. Assuming that the density distributions for proton and neutron are of Fermi-type, and adjusting the diffuseness parameter of neutron density distribution in the droplet model, we find out the good linear correlation between the neutron skin thickness and the abrasion cross section $\sigma_{\rm nabr}$ for neutron-rich nuclei. The uncertainty of neutron skin thickness determined from $\sigma_{\rm nabr}$ is very small. It is suggested that $\sigma_{\rm nabr}$ can be used as a new experimental observable to extract the neutron skin thickness for neutron-rich nucleus. The scaling behaviours between neutron skin thickness and $\sigma_{\rm nabr}$, separately, for isotopes of $^{26-35}$Na, $^{44-56}$Ar, $^{48-60}$Ca, $^{67-78}$Ni are also investigated.
Received: 28 July 2007
Revised: 19 November 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10775168, 10405032,
10535010, 10405033, 10605036 and 10475108), the Shanghai Development
Foundation for Science and Technology (Grant Nos 06QA14062,
06JC14082 and 05XD14021),
Cite this article:
Ma Chun-Wang(马春旺), Fu Yao(傅瑶), Fang De-Qing(方德清), Ma Yu-Gang(马余刚), Cai Xiang-Zhou(蔡翔舟), Guo Wei(郭威), Tian Wen-Dong(田文栋), and Wang Hong-Wei(王宏伟) A possible experimental observable for the determination of neutron skin thickness 2008 Chin. Phys. B 17 1216
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