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Nuclear Theory·nucl-th

Thursday·November 25, 2021

8 papers—3 primary·5 cross-listed

All8Primary3Cross-lists5
  1. 01

    [Submitted on 24 Nov 2021]

    Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes

    E.V. Mardyban · E.A. Kolganova · T.M. Shneidman · R.V. Jolos

    The properties of the collective low-lying states of Zr isotopes which include excitation energies and reduced transition probabilities indicate that some of these states are mainly spherical and the other are mainly deformed ones. We investigate the properties of the low-lying collective states of Zr and their evolution with increase of the number of neutrons based on the five-dimensional Geometrical Quadrupole Collective Model. The quadrupole-collective Bohr Hamiltonian with a potential having spherical and deformed minima, is applied. The relative depth of two minima, height and width of the barrier, rigidity of the potential near both minima are determined so as to achieve the best possible description of the observed properties of the low-lying collective quadrupole states of Zr. Satisfactory agreement with the experimental data on the excitation energies and the reduced transition probabilities is obtained. The evolution of the collective potential with increase of is described and the distributions of the wave functions of the collective states in plane are found. The resulting potential evolves with increase from having only one spherical minimum in Zr, through the potentials having both spherical and deformed minima, to the potential with one deformed minimum in Zr.

    Comments:
    11 pages, 5 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2111.12402 [pdf]
    PRC(2022)·5 citations
  2. 02

    [Submitted on 24 Nov 2021]

    Influence of triaxiality on the description of low-energy excitation spectrum of Zr

    E.V.Mardyban · T.M.Shneidman · E.A.Kolganova · R.V.Jolos

    The observed properties of the low-lying collective states of Zr are investigated within the geometrical collective model. The quadrupole-collective Bohr Hamiltonian with the potential having spherical and axially-symmetric deformed minima is applied. The role of triaxiality is investigated by rotating the potential in -degree of freedom so that the deformed minimum occurs at various axially asymmetric shapes. The change of excitation energies and reduced matrix elements of quadrupole transitions with increase of triaxiliaty is analyzed.

    Comments:
    5 pages, 3 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2111.12410 [pdf]
    Phys.Part.Nucl.Lett.(2022)·0 citations
  3. 03

    [Submitted on 24 Nov 2021]

    Universal trend of charge radii of even-even Ca-Zn nuclei

    Markus Kortelainen · Zhonghao Sun · Gaute Hagen · Witold Nazarewicz · Thomas Papenbrock · Paul-Gerhard Reinhard

    Radii of nuclear charge distributions carry information about the strong and electromagnetic forces acting inside the atomic nucleus. While the global behavior of nuclear charge radii is governed by the bulk properties of nuclear matter, their local trends are affected by quantum motion of proton and neutron nuclear constituents. The measured differential charge radii between neutron numbers and exhibit a universal pattern as a function of that is independent of the atomic number. Here we analyze this remarkable behavior in even-even nuclei from calcium to zinc using two state-of-the-art theories based on quantified nuclear interactions: the ab-initio coupled cluster theory and nuclear density functional theory. Both theories reproduce the smooth rise of differential charge radii and their weak dependence on the atomic number. By considering a large set of isotopic chains, we show that this trend can be captured by just two parameters: the slope and curvature of . We demonstrate that these parameters show appreciable model dependence, and the statistical analysis indicates that they are not correlated with any single model property, i.e., they are impacted by both bulk nuclear properties as well as shell structure.

    Comments:
    7 pages, 6 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2111.12464 [pdf]
    PRC(2022)·38 citations

Affiliations

first authorsco-authorsvia INSPIRE