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Nuclear Theory·nucl-th

Thursday·September 1, 2016

6 papers—4 primary·2 cross-listed

All6Primary4Cross-lists2
  1. 01

    [Submitted on 30 Aug 2016]

    Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential

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

    In this paper, we present new analytical solutions of the Bohr Hamiltonian problem that we derived with the Tietz-Hua potential, here used for describing the {\beta}-part of the nuclear collective potential plus harmonic oscillator one for the {\gamma}-part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of {\beta}-potential with others which are widely used in such a framework as well as with the experiment. The calculations are carried out for energy spectra and electromagnetic transition probabilities for {\gamma}-unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the {\beta}-potential beyond its minimum on transition rates calculations.

    Comments:
    27 pages, 4 figures, 4 tables
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1608.08674 [pdf]
    EPJA(2017)·10 citations
  2. 02

    [Submitted on 31 Aug 2016]

    Alignment of wave functions for angular momentum projection

    Yasutaka Taniguchi

    Angular momentum projection is used to obtain eigen states of angular momentum from general wave functions. Multi-configuration mixing calculation with angular momentum projection is an important microscopic method in nuclear physics. For accurate multi-configuration mixing calculation with angular momentum projection, concentrated distribution of components of angular momentum in the body-fixed frame (-distribution) is favored. Orientation of wave functions strongly affects -distribution. Minimization of variance of is proposed as an alignment method to obtain wave functions that have concentrated -distribution. Benchmark calculations are performed for -Mg cluster structure, triaxially superdeformed states in Ar, and Hartree-Fock states of some nuclei. The proposed alignment method is useful and works well for various wave functions to obtain concentrated -distribution.

    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1608.08726 [pdf]
    PTEP(2016)·3 citations
  3. 03

    [Submitted on 31 Aug 2016]

    Spectral distribution Method for neutrinoless double beta decay: Results for Se and Ge

    V.K.B. Kota🇮🇳 · R.U. Haq🇨🇦

    Statistical spectral distribution method based on shell model and random matrix theory is developed for calculating neutrinoless double beta decay nuclear transition matrix elements. First results obtained for Se and Ge using the spectral method are close to the available shell model results.

    Comments:
    Article for the invited talk (by VKBK) given in the 35th International Workshop on "Nuclear Theory" held at Rila Mountains (Sofia, Bulgaria) during June 26 to July 2nd, 2016
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1608.08785 [pdf]
    Nucl.Theor.(2016)·0 citations
  4. 04

    [Submitted on 31 Aug 2016]

    Interplay of projectile breakup and target excitation in reactions induced by weakly-bound nuclei

    M. Gomez-Ramos · A. M. Moro

    In this work, we reexamine the extension of the CDCC formalism to include target excitation and apply it to a variety of reactions to study the effect of breakup on inelastic cross sections. We use a transformed oscillator basis to discretize the continuum of the projectiles in the different reactions and use the extended CDCC method developed in this work to solve the resulting coupled differential equations. A new code has been developed to perform the calculations. Reactions 58Ni(d, d) 58Ni*, 24Mg(d, d) 24Mg* , 144Sm( 6Li, 6Li) 144Sm* and 9Be( 6Li, 6Li) 9Be* are studied. Satisfactory agreement is found between experimental data and extended CDCC calculations. The studied CDCC method is proved to be an accurate tool to describe target excitation in reactions with weakly-bound nuclei. Moderate effects of breakup on inelastic observables are found for the reactions studied. Cross section magnitudes are not modified much, but angular distributions present smoothing when opposed to calculations without breakup.

    Comments:
    11 pages, 9 figures
    Subjects:
    Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
    arXiv:
    1608.08966 [pdf]
    PRC(2017)·25 citations

Affiliations

first authorsco-authorsvia INSPIRE