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Nuclear Theory·nucl-th

Friday·June 29, 2018

7 papers—2 primary·5 cross-listed

All7Primary2Cross-lists5
  1. 01

    [Submitted on 28 Jun 2018]

    Phase Transition in Interacting Boson System at Finite Temperatures

    D. Anchishkin🇺🇦 · I. Mishustin🇩🇪 · H. Stoecker🇩🇪

    Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both attractive and repulsive terms. Self-consistency relations between the mean field and thermodynamic functions are derived. It is shown that for sufficiently strong attractive interactions this system develops a first-order phase transition via formation of Bose condensate. An interesting prediction of the model is that the condensed phase is characterized by a constant total density of particles. The thermodynamical characteristics of the system are calculated for the liquid-gas and condensed phases. The energy density exhibits a jump at the critical temperature.

    Comments:
    17 pages, 7 figures, PDFLaTex, tiny corrections in the text were added
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
    arXiv:
    1806.10857 [pdf]
    J.Phys.G(2019)·14 citations
  2. 02

    [Submitted on 28 Jun 2018]

    Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei

    Alexander Tichai🇫🇷 · Pierre Arthuis🇫🇷 · Thomas Duguet🇫🇷 · Heiko Hergert🇺🇸 · Vittorio Somá🇫🇷 · Robert Roth🇩🇪

    A novel Rayleigh-Schrödinger many-body perturbation theory (MBPT) approach is introduced by making use of a particle-number-breaking Bogoliubov reference state to tackle (near-)degenerate open-shell fermionic systems. By choosing a reference state that solves the Hartree-Fock-Bogoliubov variational problem, the approach reduces to the well-tested Møller-Plesset, i.e., Hartree-Fock based, MBPT when applied to closed-shell systems. Due to its algorithmic simplicity, the newly developed framework provides a computationally simple yet accurate alternative to state-of-the-art non-perturbative many-body approaches. At the price of working in the quasi-particle basis associated with a single-particle basis of sufficient size, the computational scaling of the method is independent of the particle number. This paper presents the first realistic applications of the method ranging from the oxygen to the nickel isotopic chains on the basis of a modern nuclear Hamiltonian derived from chiral effective field theory.

    Comments:
    6 pages, 3 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1806.10931 [pdf]
    PLB(2018)·93 citations

Affiliations

first authorsco-authorsvia INSPIRE