The nth-order moment of the nuclear charge density and contribution from the neutrons. (28th November 2019)

• Record Type: Journal Article
• Authors: Kurasawa, Haruki; Suzuki, Toshio
• Is Part Of: Progress of theoretical and experimental physics. Volume 2019:Number 11(2019)
• Publication Date: 2019-11-28
• Subjects: D12; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptz121
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: The relativistic expression for the $n$ th-order moment of the nuclear charge density is presented. For the mean square radius (msr) of the nuclear charge density, the non-relativistic expression, which is equivalent to the relativistic one, is also derived consistently up to $1/M^2$ with use of the Foldy–Wouthuysen transformation. The difference between the relativistic and non-relativistic expressions for the msr of the point proton density is also discussed. The $n(\ge 4)$ th-order moment of the nuclear charge density depends on the point neutron density. The fourth-order moment yields useful information on the msr of the point neutron density, and is expected to play an important role in electron scattering off neutron-rich nuclei.