[Prex] The mean square radius of the neutron distribution and the skin thickness derived from electron scattering Haruki Kurasawa, Toshimi Suda, Toshio Suzuki

[Jay Benesch]

seems relevant

https://arxiv.org/abs/2009.00759

The mean square radius of the neutron distribution and the skin thickness derived from electron scattering
Haruki Kurasawa, Toshimi Suda, Toshio Suzuki

    The second-order moment of the nuclear charge density(R2c) is dominated by the mean square radius(msr) of the point proton distribution(R2p), while the fourth-order moment(Q4c) depends on the msr of the point neutron one(R2n) also. Moreover, R2n is strongly correlated to R2c in nuclear models. According to these facts, the linear relationship between various moments in the nuclear mean field models are investigated with use of the least squares method for 40Ca, 48Ca and 208Pb. From the intersection points of the obtained straight lines with those of the experimental values for R2c and Q4c determined through electron scattering, the values of Rp and Rn are estimated. Since relativistic and non-relativistic models provide different lines, the obtained values of Rn and the skin thickness(Rn−Rp) differ from each other in the two frameworks. 

Comments: 	39 pages and 28 figures
Subjects: 	Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
Cite as: 	arXiv:2009.00759 [nucl-th]