A method is presented to extract the neutron-skin thickness of atomic nuclei from the second and fourth moments of the electric charge distribution. We show that the value of the proton fourth moment must be independently known in order to estimate the neutron-skin thickness experimentally. To overcome this problem, we propose the use of a strong linear correlation among the second and fourth moments of the proton distribution as calculated with several energy density functionals of common use. We take special care in estimating the errors associated with the different contributions to the neutron radius and show, for the first time, the analytic expressions for the spin-orbit contribution to the charge fourth moments of neutrons and protons. To reduce the uncertainty on the extraction of the neutron radius, two neighboring even-even isotopes are used. Nevertheless, the error on the fourth moment of the proton distribution, even if determined or assumed with large accuracy, dominates and prevents the present method from being applied for a sound determination of the neutron-skin thickness.

Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei / T. Naito, G. Colò, H. Liang, X. Roca-Maza. - In: PHYSICAL REVIEW C. - ISSN 2469-9985. - 104:2(2021 Aug 09), pp. 024316.024316-1-024316.024316-16. [10.1103/PhysRevC.104.024316]

Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei

G. Colò
Secondo
;
X. Roca-Maza
Ultimo
2021

Abstract

A method is presented to extract the neutron-skin thickness of atomic nuclei from the second and fourth moments of the electric charge distribution. We show that the value of the proton fourth moment must be independently known in order to estimate the neutron-skin thickness experimentally. To overcome this problem, we propose the use of a strong linear correlation among the second and fourth moments of the proton distribution as calculated with several energy density functionals of common use. We take special care in estimating the errors associated with the different contributions to the neutron radius and show, for the first time, the analytic expressions for the spin-orbit contribution to the charge fourth moments of neutrons and protons. To reduce the uncertainty on the extraction of the neutron radius, two neighboring even-even isotopes are used. Nevertheless, the error on the fourth moment of the proton distribution, even if determined or assumed with large accuracy, dominates and prevents the present method from being applied for a sound determination of the neutron-skin thickness.
Settore FIS/04 - Fisica Nucleare e Subnucleare
European Nuclear Science and Application Research 2
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/870410
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