Coulomb form factors of odd-A nuclei within an axially deformed relativistic mean-field model

Jian Liu, Chang Xu, Shuo Wang, and Zhongzhou Ren
Phys. Rev. C 96, 034314 – Published 18 September 2017

Abstract

Background: The nuclear Coulomb form factor |FC(q)|2 is a useful tool to study nuclear structure. For spherical nuclei, |FC(q)|2 can be calculated by combining the spherical relativistic mean-field (RMF) model and the distorted wave Born approximation (DWBA) method.

Purpose: In a previous paper, the axially deformed RMF model + DWBA method was successfully applied to study the Coulomb form factors of deformed even-even nuclei. In this paper, we further extend this method to study the Coulomb form factors of deformed odd-A nuclei.

Method: First, the charge distributions of odd-A nuclei are calculated with the deformed RMF model and expanded into multipole components. Next, with the multipole moment charge distributions, the Coulomb multipoles C0, C2, and C4 are calculated. Finally, by summing over Coulomb multipoles required, the Coulomb form factors of odd-A nuclei can be obtained.

Results: For deformed odd-A nuclei, the theoretical Coulomb form factors calculated from the deformed RMF charge densities are in better agreement with the experimental data. For nuclei with J1, the diffraction minima of Coulomb form factors are much flatter, which is due to the contributions of quadrupole charge distributions.

Conclusions: Results indicate that the axially deformed RMF model can give reasonable descriptions for multipole moment charge distributions of odd-A nuclei. The method in this paper can provide a useful guide for future experiments of electron scattering off exotic odd-A nuclei.

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  • Received 1 July 2017

DOI:https://doi.org/10.1103/PhysRevC.96.034314

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Jian Liu1,*, Chang Xu2, Shuo Wang3, and Zhongzhou Ren2,4,†

  • 1College of Science, China University of Petroleum (East China), Qingdao 266580, China
  • 2Department of Physics and Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China
  • 3Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, Institute of Space Science, Shandong University, Weihai 264209, China
  • 4School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

  • *liujian@upc.edu.cn
  • zren@nju.edu.cn

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Issue

Vol. 96, Iss. 3 — September 2017

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