Variational calculation of the ground state of closed-shell nuclei up to A=40

2017/05/31 by Diego Lonardoni, D. Lonardoni, Alessandro Lovato +3 · 4 citations
Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Charge (physics) #Charge radius #Coulomb #Ground state #Mathematical physics #Momentum (technical analysis) #Nuclear physics research studies #Nucleon #Particle physics #Physics #Proton #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #RADIUS #Wave function #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.96.024326

published as Phys. Rev. C 96, 024326 (2017) · 24 pages, 25 figures

openalex created_date 2017/05/19 · arxiv created 2017/08/31 · openalex publication_date 2017/08/31 · arxiv updated 2017/09/04 · openalex updated_date 2026/08/05

Abstract

Variational calculations of ground-state properties of ⁴He,¹⁶O, and ⁴⁰Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes two- and three-body correlations acting on a product of single-particle determinants. Expectation values are evaluated with a cluster expansion for the spin-isospin dependent correlations considering up to five-body cluster terms. The optimal wave function is obtained by minimizing the energy expectation value over a set of up to 20 parameters by means of a nonlinear optimization library. We present results for the binding energy, charge radius, one- and two-body densities, single-nucleon momentum distribution, charge form factor, and Coulomb sum rule. We find that the employed three-nucleon interaction becomes repulsive for A\ensuremath≥16. In ¹⁶O the inclusion of such a force provides a better description of the properties of the nucleus. In ⁴⁰Ca instead, the repulsive behavior of the three-body interaction fails to reproduce experimental data for the charge radius and the charge form factor. We find that the high-momentum region of the momentum distributions, determined by the short-range terms of nuclear correlations, exhibits a universal behavior independent of the particular nucleus. The comparison of the Coulomb sum rules for ⁴He,¹⁶O, and ⁴⁰Ca reported in this work will help elucidate in-medium modifications of the nucleon form factors.

Citations

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Cited by

• Properties of Nuclei up to A=16 using Local Chiral Interactions
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Short-range correlations and the charge density
• Flow in collisions of light nuclei