PaperPanorama

Nuclear Theory·nucl-th

Monday·June 28, 2021

7 papers3 primary·4 cross-listed

  1. 01

    Deformation effect on nuclear density profile and radius enhancement in light- and medium-mass neutron-rich nuclei

    Wataru Horiuchi · Tsunenori Inakura

    Mass number dependence of the nuclear radii is closely related to the nuclear matter properties. It is known that the most of nuclei exhibit some deformation. We discuss how the nuclear density profile is modified by the nuclear deformation to elucidate the enhancement mechanism of the nuclear radii through a systematic investigation of neutron-rich Ne, Mg, Si, S, Ar, Ti, Cr, and Fe isotopes. Skyrme-Hartree-Fock calculations are performed in a three-dimensional Cartesian grid to describe the nuclear deformation in a non-empirical way. The role of the nuclear deformation on the nuclear density profiles is explored in comparison to calculations with spherical limit. We find correlations between the nuclear deformation and the internal nuclear density. The evolution of the nuclear radii appears to follow the core swelling mechanism recently proposed in spherical nuclei [Phys. Rev. C 101, 061301(R) (2020)], and the radius is further enhanced by the nuclear deformation. This study demands further theoretical and experimental investigations for the internal density.

    nucl-thPTEP(2021)·17 citations
  2. 02

    A geometrical model to describe the alpha dose rates from particulates of UO in water

    Angus Siberry · David Hambley · Anna Adamska · Ross Springell

    A model investigating the role of geometry on the alpha dose rate of spent nuclear fuel has been developed. This novel approach utilises a new piecewise function to describe the probability of alpha escape as a function of particulate radius, decay range within the material, and position from the surface. The alpha dose rates were produced for particulates of radii 1 m to 10 mm, showing considerable changes in the 1 m to 50 m range. Results indicate that for decreasing particulate sizes, approaching radii equal to or less than the range of the -particle within the fuel, there is a significant increase in the rate of energy emitted per unit mass of fuel material. The influence of geometry is more significant for smaller radii, showing clear differences in dose rate curves below 50 m. These considerations are essential for any future accurate prediction of the dissolution rates and hydrogen gas release, driven by the radiolytic yields of particulate spent nuclear fuel.

    nucl-thRadiat.Phys.Chem.(2021)·0 citations
  3. 03

    A Many-Body Density Energy Functional

    A. Kievsky🇮🇹 · G. Orlandini🇮🇹 · M. Gattobigio🇫🇷

    The Hohenberg-Kohn theorem and the Kohn-Sham equations, which are at the basis of the Density Functional Theory, are reformulated in terms of a particular many-body density, which is translational invariant and therefore is relevant for self-bound systems. In a similar way that there is a unique relation between the one-body density and the external potential that gives rise to it, we demonstrate that there is a unique relation between that particular many-body density and a definite many-body potential. The energy is then a functional of this density and its minimization leads to the ground-state energy of the system. As a proof of principle, the analogous of the Kohn-Sham equation is solved in the specific case of He atomic clusters, to put in evidence the advantages of this new formulation in terms of physical insights.

    nucl-thcond-mat.quant-gasPRA(2021)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE