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Nuclear Theory·nucl-th

Thursday·July 2, 2015

6 papers—3 primary·3 cross-listed

All6Primary3Cross-lists3
  1. 01

    [Submitted on 30 Jun 2015]

    Collective inertia of Nambu-Goldstone mode from linear response theory

    Nobuo Hinohara

    Background: Spurious zero-energy Nambu-Goldstone (NG) modes appear when the symmetry of a system is spontaneously broken. The Thouless-Valatin inertia, the collective inertia of the NG mode, contains important information concerning collective motion. Purpose: To establish an efficient and precise method for deriving the collective inertia and the conjugate operator of a NG mode, we derive an expression for the response function in terms of the coordinate-momentum representation of the quasiparticle random-phase approximation which is valid even if a symmetry-restoring zero-energy mode is present. Methods: We use the finite amplitude method for computing the response function of superfluid nuclei with the nuclear density functional theory. Results: We derived analytically the collective inertia and the conjugate coordinate operator of the NG mode from the zero-energy linear response with the momentum operator of the NG mode. The formulation is tested in the cases of translational and pairing rotational modes. Illustrative calculations are performed for the neutron pairing rotation in Sn isotopes, the proton pairing rotation in N = 82 isotones, and the neutron and proton pairing rotations around the 130Xe nucleus. Conclusions: The proposed formulation allows us to compute the collective inertia of the NG mode precisely and efficiently. The conjugate coordinate operator can be utilized to remove spurious contributions to the strength distribution in the finite amplitude method.

    Comments:
    14 pages, 6 figures, 1 table, submitted to Phys. Rev. C
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1507.00045 [pdf]
    PRC(2015)·35 citations
  2. 02

    [Submitted on 1 Jul 2015]

    The radiative 10Be(n,g)11be capture at thermal and astrophysical energies

    S.B. Dubovichenko · A.V. Dzhazairov-Kakhramanov

    Within the framework of the modified potential cluster model with the forbidden states and the classification of states according to Young tableaux the possibility of describing the available experimental data for the total reaction cross sections of the neutron radiative capture on 10Be at thermal and astrophysical energies was shown.

    Comments:
    15p., 2 tabl., 4 fig., 62 ref. arXiv admin note: text overlap with arXiv:1506.07954
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1507.00117 [pdf]
    J.Phys.G(2016)·6 citations
  3. 03

    [Submitted on 1 Jul 2015]

    Advanced density matrix renormalization group method for nuclear structure calculations

    Ö. Legeza · L. Veis · A. Poves · J. Dukelsky

    We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various concepts of quantum information theory. We first show how this new DMRG methodology could solve a previous KeV discrepancy in the ground state energy of Ni. We then report the first DMRG results in the shell model space for the ground and first states of Ge which are benchmarked with reference data obtained from Monte Carlo shell model. The corresponding correlation structure among the proton and neutron orbitals is determined in terms of the two-orbital mutual information. Based on such correlation graphs we propose several further algorithmic improvement possibilities that can be utilized in a new generation of tensor network based algorithms.

    Comments:
    5 pages, 4 figures
    Subjects:
    Nuclear Theory (nucl-th); Strongly Correlated Electrons (cond-mat.str-el); physics.chem-ph (physics.chem-ph)
    arXiv:
    1507.00161 [pdf]
    PRC(2015)·62 citations

Affiliations

first authorsco-authorsvia INSPIRE