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Nuclear Theory·nucl-th

Monday·January 9, 2023

5 papers—3 primary·2 cross-listed

All5Primary3Cross-lists2
  1. 01

    [Submitted on 6 Jan 2023]

    The shape of gold

    Benjamin Bally🇫🇷 · Giuliano Giacalone🇩🇪 · Michael Bender🇫🇷

    Having a detailed theoretical knowledge of the low-energy structure of the heavy odd-mass nucleus Au is of prime interest as the structure of this isotope represents an important input to theoretical simulations of collider experiments involving gold ions performed worldwide at relativistic energies. In the present article, therefore, we report on new results on the structure of Au obtained from state-of-the-art multi-reference energy density functional (MR-EDF) calculations. Our MR-EDF calculations were realized using the Skyrme-type pseudo-potential SLyMR1, and include beyond mean-field correlations through the mixing, in the spirit of the Generator Coordinate Method (GCM), of particle-number and angular-momentum projected triaxially deformed Bogoliubov quasi-particle states. Comparison with experimental data shows that the model gives a reasonable description of Au with in particular a good agreement for most of the spectroscopic properties of the ground state. From the collective wave function of the correlated state, we compute an average deformation and for the ground state. We use this result to construct an intrinsic shape of Au representing a microscopically-motivated input for precision simulations of the associated collider processes. We discuss, in particular, how the triaxiality of this nucleus is expected to impact Au+Au collision experiments at ultrarelativistic energy.

    Comments:
    16 pages, 6 figures
    Subjects:
    Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
    arXiv:
    2301.02420 [pdf]
    EPJA(2023)·39 citations
  2. 02

    [Submitted on 6 Jan 2023]

    The exact description of intruder states in Cd nucleus by using a mixing formalism based on transitional Hamiltonian and -Casimir operator

    M. Rastgar · H. Sabri · A. O. Ezzati

    In this paper, we used a transitional Hamiltonian which has transition to improve theoretical predictions for energy spectra and quadrupole transition rates of Cd nucleus. To this aim, the transitional Hamiltonian in the affine algebra has been extended by adding the -Casimir operator and mixing Hamiltonian to increase exactness in the description of 4 and 2 intruder levels of this nucleus. We also considered the wave functions of both regular and intruder states, as a combination in the and boson spaces. The results confirm the advantages of using such mixing approaches and describing the energy and transition rates with high accuracy

    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2301.02463 [pdf]
    IJMPE(2023)·1 citation
  3. 03

    [Submitted on 6 Jan 2023]

    Quadrupole deformation signatures in elastic electron scattering from oriented odd-A nuclei

    Pedro Sarriguren

    Elastic electron scattering from oriented odd-Aaxially deformed nuclei is studied in the plane-wave Born approximation. The nuclear structure is described within a microscopic selfconsistent Skyrme deformed Hartree-Fock approximation with pairing correlations. The interference form factors between monopole and quadrupole Coulomb terms that characterize the nuclear response with aligned nuclear targets are shown to increase or decrease the unpolarized cross-section, depending on the sign of the quadrupole deformation. This feature provides valuable information on the nuclear deformation that can be used as a signature of the oblate or prolate character of the nuclear shape. Some selected cases of nuclei with different spins are presented that exemplify the scope of the method.

    Comments:
    8 pages, 8 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2301.02614 [pdf]
    PLB(2023)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE