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Nuclear Theory·nucl-th

Friday·July 8, 2016

12 papers—5 primary·7 cross-listed

All12Primary5Cross-lists7
  1. 01

    [Submitted on 6 Jul 2016]

    A practical method in calculating one loop quantum fluctuations to the energy of the non-topological soliton

    Song Shu🇨🇳

    I have used a practical method to calculate the one-loop quantum correction to the energy of the non-topological soliton in Friedberg-Lee model. The quantum effects which come from the quarks of the Dirac sea scattering with the soliton bag are calculated by a summation of the discrete and continuum energy spectrum of the Dirac equation in the background field of soliton. The phase shift of the continuum spectrum is numerically calculated in an efficient way and all the divergences are removed by the same renormalization procedure.

    Comments:
    4 pages, 2 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1607.01815 [pdf]
    SCPMA(2017)·4 citations
  2. 02

    [Submitted on 7 Jul 2016]

    Auxiliary-field quantum Monte Carlo methods in nuclei

    Y. Alhassid

    Auxiliary-field quantum Monte Carlo methods enable the calculation of thermal and ground state properties of correlated quantum many-body systems in model spaces that are many orders of magnitude larger than those that can be treated by conventional diagonalization methods. We review recent developments and applications of these methods in nuclei using the framework of the configuration-interaction shell model.

    Comments:
    28 pages, 10 figures, a chapter in a review book "Emergent Phenomena in Atomic Nuclei from Large-Scale Modeling: a Symmetry-Guided Perspective," ed. K. D. Launey
    Subjects:
    Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); Computational Physics (physics.comp-ph)
    arXiv:
    1607.01870 [pdf]
    1 citation
  3. 03

    [Submitted on 7 Jul 2016]

    Nuclear shape phase transition within a conjonction of {\gamma}-rigid and {\gamma}-stable collective behaviours in deformation dependent mass formalism

    M. Chabab · A. El Batoul · A. Lahbas · M. Oulne

    In this paper, we present a theoretical study of a conjonction of -rigid and -stable collective motions in critical point symmetries of the phase transitions from spherical to deformed shapes of nuclei using exactly separable version of the Bohr Hamiltonian with deformation-dependent mass term. The deformation-dependent mass is applied simultaneously to -rigid and -stable parts of this famous collective Hamiltonian. Moreover, the part of the problem is described by means of Davidson potential, while the -angular part corresponding to axially symmetric shapes is treated by a Harmonic Osillator potential. The energy eigenvalues and normalized eigenfunctions of the problem are obtained in compact forms by making use of the asymptotic iteration method. The combined effect of the deformation-dependent mass and rigidity as well as harmonic oscillator stiffness parameters on the energy spectrum and wave functions is duly investigated. Also, the electric quadrupole transition ratios and energy sprectrum of some -stable and prolate nuclei are calculated and compared with the experimental data as well as with other theoretical models.

    Comments:
    22 pages, 5 figures, 7 tables. arXiv admin note: text overlap with arXiv:1506.05782, arXiv:1103.5935 by other authors
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1607.02026 [pdf]
    J.Phys.G(2016)·19 citations
  4. 04

    [Submitted on 7 Jul 2016]

    Improved radial basis function approach with the odd-even corrections

    Z. M. Niu · B. H. Sun · H. Z. Liang · Y. F. Niu · J. Y. Guo

    The radial basis function (RBF) approach has been used to improve the mass predictions of nuclear models. However, systematic deviations exist between the improved masses and the experimental data for nuclei with different odd-even parities of (, ), i.e., the (even , even ), (even , odd ), (odd , even ), and (odd , odd ). By separately training the RBF for these four different groups, it is found that the systematic odd-even deviations can be cured in a large extend and the predictive power of nuclear mass models can thus be further improved. Moreover, this new approach can better reproduce the single-nucleon separation energies. Based on the latest version of Weizsäcker-Skyrme model WS4, the root-mean-square deviation of the improved masses with respect to known data falls to keV, approaching the chaos-related unpredictability limit ( keV).

    Comments:
    7 pages, 5 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1607.02075 [pdf]
    PRC(2016)·40 citations
  5. 05

    [Submitted on 7 Jul 2016]

    Anharmonicity of multi-octupole-phonon excitations in Pb: analysis with multi-reference covariant density functional theory and subbarrier fusion of O+Pb

    J. M. Yao · K. Hagino

    We discuss anharmonicity of the multi-octupole-phonon states in Pb based on a covariant density functional theory, by fully taking into account the interplay between the quadrupole and the octupole degrees of freedom. Our results indicate the existence of a large anharmonicity in the transition strengths, even though the excitation energies are similar to those in the harmonic limit. We also show that the quadrupole-shape fluctuation significantly enhances the fragmentation of the two-octupole-phonon states in Pb. Using those transition strengths as inputs to coupled channels calculations, we then discuss the fusion reaction of O+Pb at energies around the Coulomb barrier. We show that the anharmonicity of the octupole vibrational excitation considerably improves previous coupled-channels calculations in the harmonic oscillator limit, significantly reducing the height of the main peak in the fusion barrier distribution.

    Comments:
    5 pages with 4 figures, to be published in Phys. Rev. C as a Rapid Communication
    Subjects:
    Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
    arXiv:
    1607.02126 [pdf]
    PRC(2016)·25 citations

Affiliations

first authorsco-authorsvia INSPIRE