Charge radii of Ca isotopes and correlations

Abstract

We study the effects of short- and long-range correlations on the charge radii of Ca isotopes. We start our investigation with an independent particle model consisting in Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range effective nucleon-nucleon interactions of Gogny type. The short-range correlations effects are evaluated by considering all the terms of a cluster expansion containing a single correlation line. The long-range correlations are taken into account by including the coupling with the quasi-particle random phase approximation phonons. While the effects of the short-range correlations are negligible, those of the long-range correlations largely modify the independent particle model results and improve the agreement with the experimental data.

arXiv comment9 pages, 5 figures, 1 table. Accepted for publication in Physical Review C

References in corpus (16)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• Nuclear isotope shifts within the local energy-density functional approach
• Shell Model Description of Isotope Shifts in Calcium
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Tensor and tensor-isospin terms in the effective Gogny interaction
• Swelling of doubly magic ${}^{48}$Ca core in Ca isotopes beyond $N=28$
• Renormalized Fermi hypernetted chain approach in medium-heavy nuclei
• Irregularities in nuclear radii at magic numbers
• Can Long-Range Nuclear Properties Be Influenced By Short Range Interactions? A chiral dynamics estimate
• Novel ansatz for charge radii in density functional theories
• A study of self-consistent Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range interactions
• Correlations and charge distributions of medium heavy nuclei
• Pairing in spherical nuclei: quasi-particle random phase approximation calculations with the Gogny interaction

Cited by in corpus (3)

• Calibration of nuclear charge density distribution by back-propagation neural networks
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects
• Effect of short- and long-range correlations on neutron skins of various neutron-rich doubly magic nuclei