Fermi-momentum dependence of relativistic effective mass below saturation from superscaling of quasielastic electron scattering

V. L. Martinez-Consentino, I. Ruiz Simo, J. E. Amaro, and E. Ruiz Arriola
Phys. Rev. C 96, 064612 – Published 21 December 2017

Abstract

The relativistic effective mass M* and Fermi momentum kF are important ingredients in the determination of the nuclear equation of state, but they have rarely been extracted from experimental data below saturation density where translationally invariant nuclear matter becomes unstable against clusterization into the existing atomic nuclei. Using a novel kind of superscaling analysis of the quasielastic cross-section electron scattering data involving a suitable selection criterion and C12 as a reference nucleus, the global scaling properties of the resulting set of data for 21 nuclei ranging from H2 to U238 are then analyzed. We find that a subset of a third of the about 20000 data approximately scales to an universal superscaling function with a more constrained uncertainty band than just the reference C12 case and provides M* as a function of kF.

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  • Received 16 October 2017

DOI:https://doi.org/10.1103/PhysRevC.96.064612

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

V. L. Martinez-Consentino*, I. Ruiz Simo, J. E. Amaro, and E. Ruiz Arriola§

  • Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional Universidad de Granada, E-18071 Granada, Spain

  • *victormc@ugr.es
  • ruizsig@ugr.es
  • amaro@ugr.es
  • §earriola@ugr.es

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Vol. 96, Iss. 6 — December 2017

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