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Nuclear Theory·nucl-th

Friday·February 27, 2015

5 papers—3 primary·2 cross-listed

All5Primary3Cross-lists2
  1. 01

    [Submitted on 26 Feb 2015]

    A microscopic derivation of nuclear collective rotation-vibration model, axially symmetric case

    Parviz Gulshani

    We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitude. The nuclear Schrodinger equation is canonically transformed the to collective co-ordinates, which is then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle co-ordinates. The approach yields three self-consistent, time-reversal invariant, cranking-type Schrodinger equations for the rotation-vibration and intrinsic motions, and a self-consistency equation. For harmonic oscillator mean-field potentials, these equations are solved in closed forms and applied to the ground-state rotational bands in some axially-symmetric nuclei. The results are compared with the measured data.

    Comments:
    The Rev 4 version of the article revises the Rev 3 version to: (i) reduce the size of the article by deleting some of the equations in Sections 2 and 3, (ii) to clarify the physical interpretation of the results in Eqs. (25) and (26), and the comparison of the model to the other models in Section 4, and (iii) to the add the results of the model application to another heavy nucleus
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1502.07590 [pdf]
    Can.J.Phys.(2016)·5 citations
  2. 02

    [Submitted on 26 Feb 2015]

    Conservation laws in the shell model of Cr

    K. Neergård

    Conservation laws in the shell model of Cr found in numeric studies by Escuderos, Zamick and Bayman [A. Escuderos, L. Zamick, and B. F. Bayman, arXiv:0506050 (2005)] and me [K. Neergård, Phys. Rev. C \textbf{90}, 014318 (2014)] are explained by symmetry under particle-hole conjugation and the structure of the irreps of the symplectic group Sp(4). A generalization is discussed.

    Comments:
    Some typos corrected
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1502.07673 [pdf]
    PRC(2015)·4 citations
  3. 03

    [Submitted on 26 Feb 2015]

    Hagedorn's Hadron Mass Spectrum and the Onset of Deconfinement

    Marek Gazdzicki🇩🇪 · Mark I. Gorenstein🇺🇦

    A brief history of the observation of the onset of deconfinement - the beginning of the creation of quark gluon plasma in nucleus-nucleus collisions with increasing collision energy - is presented. It starts with the measurement of hadron mass spectrum and the Hagedorn's hypothesis of the limiting temperature of hadronic matter (the Hagedorn temperature). Then the conjecture that the Hagedorn temperature is the phase transition temperature was formulated with the crucial Hagedorn participation. It was confirmed by the observation of the onset of deconfinement in lead-lead collisions at the CERN SPS energies.

    Comments:
    arXiv admin note: substantial text overlap with arXiv:1201.0485
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1502.07684 [pdf]
    2 citations

Affiliations

first authorsco-authorsvia INSPIRE