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Nuclear Theory·nucl-th

Friday·December 2, 2016

8 papers—6 primary·2 cross-listed

All8Primary6Cross-lists2
  1. 01

    Proton-neutron random phase approximation studied by the Lipkin-Meshkov-Glick model in the SU(2) SU(2)

    Futoshi Minato

    We study the proton-neutron RPA with an extended Lipikin-Meshkov-Glick model. We pay attention to the effect of correlated ground state and the case in which neutron and proton numbers are different. The effect of the correlated ground state are tested on the basis of quasi-boson approximation. We obtain the result that RPA excitation energies and transition strengths are in a good agreement with the exact solution up to a certain strength of the particle-particle interaction. However, the transition strength becomes worse if we consider the case in which neutron and proton numbers are different even at a weak particle-particle interaction.

    nucl-thActa Phys.Polon.Supp.(2017)·0 citations
  2. 02

    On the solution of a pairing problem in the continuum

    A. Mercenne🇫🇷 · N. Michel🇺🇸 · J. Dukelsky🇪🇸 · M. Płoszajczak🇫🇷

    We present a generalized Richardson solution for fermions interacting with the pairing interaction in both discrete and continuum parts of the single particle (s.p.) spectrum. The pairing Hamiltonian is based on the rational Gaudin (RG) model which is formulated in the Berggren ensemble. We show that solutions of the generalized Richardson equations are exact in the two limiting situations: (i) in the pole approximation and (ii) in the s.p. continuum. If the s.p. spectrum contains both discrete and continuum parts, then the generalized Richardson equations provide accurate solutions for the Gamow Shell Model.

    nucl-thPRC(2017)·4 citations
  3. 03

    Integral transform methods: a critical review of various kernels

    Giuseppina Orlandini · Francesco Turro

    Some general remarks about integral transform approaches to response functions are made. Their advantage for calculating cross sections at energies in the continuum is stressed. In particular we discuss the class of kernels that allow calculations of the transform by matrix diagonalization. A particular set of such kernels, namely the wavelets, is tested in a model study.

    nucl-thFew Body Syst.(2017)·5 citations
  4. 04

    Hadronic matter under an external magnetic field: in medium modification of the pion mass

    R. Aguirre

    The covariant propagator of a fermion with intrinsic magnetic moment interacting with a uniform external magnetic field is presented for finite temperature and baryonic density. The case of a scalar boson is also considered. The final expressions are given in terms of a four-dimensional momentum representation. These results, which take account of the full effect of the magnetic field, are used to evaluate the modification of the pion mass at zero temperature as a function of the density and the magnetic intensity. For this purpose a self-consistent calculation, including one- and two-pion vertices, is employed.

    nucl-thPRD(2017)·11 citations
  5. 05

    Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional

    R. Rodriguez-Guzman · L.M. Robledo

    Constrained mean-field calculations, based on the Gogny-D1M energy density functional, have been carried out to describe fission in the isotopes No. The even-even isotopes have been considered within the standard Hartree-Fock-Bogoliobov (HFB) framework while for the odd-mass ones the Equal Filling Approximation (HFB-EFA) has been employed. Ground state quantum numbers and deformations, pairing energies, one-neutron separation energies, inner and outer barrier heights as well as fission isomer excitation energies are given. Fission paths, collective masses and zero-point quantum vibrational and rotational corrections are used to compute the systematic of the spontaneous fission half-lives t both for even-even and odd-mass nuclei. Though there exists a strong variance of the predicted fission rates with respect to the details involved in their computation, it is shown that both the specialization energy and the pairing quenching effects, taken into account within the self-consistent HFB-EFA blocking procedure, lead to larger t values in odd-mass nuclei as compared with their even-even neighbors. Alpha decay lifetimes have also been computed using a parametrization of the Viola-Seaborg formula. The high quality of the Gogny-D1M functional regarding nuclear masses leads to a very good reproduction of values and consequently of lifetimes.

    nucl-thEPJA(2016)·18 citations
  6. 06

    Landau parameters for energy density functionals generated by local finite-range pseudopotentials

    Andrea Idini🇫🇮 · Karim Bennaceur🇫🇮 · Jacek Dobaczewski🇫🇮

    In Landau theory of Fermi liquids, the particle-hole interaction near the Fermi energy in different spin-isospin channels is probed in terms of an expansion over the Legendre polynomials. This provides a useful and efficient way to constrain properties of nuclear energy density functionals in symmetric nuclear matter and finite nuclei. In this study, we present general expressions for Landau parameters corresponding to a two-body central local regularized pseudopotential. We also show results obtained for two recently adjusted NLO and NLO parametrizations. Such pseudopotentials will be used to determine mean-field and beyond-mean-field properties of paired nuclei across the entire nuclear chart.

    nucl-thJ.Phys.G(2017)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE