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Nuclear Theory·nucl-th

Monday·October 14, 2019

8 papers—4 primary·4 cross-listed

All8Primary4Cross-lists4
  1. 01

    The concept of induced surface and curvature tensions and a unified description of the gas of hard discs and hard spheres

    Nazar S. Yakovenko🇺🇦 · Kyrill A. Bugaev🇺🇦 · Larissa V. Bravina🇳🇴 · Eugene E. Zabrodin🇳🇴

    Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond the Van der Waals approximation for the interaction potential of hard spheres. The compressibility of a single- and two-component hadron mixtures are found for two- and three-dimensional cases. The obtained results are compared to the well known one- and two-component equations of state of hard spheres and hard discs. The values of the model parameters which successfully reproduce the above-mentioned equations of state on different intervals of packing fractions are determined from fitting their compressibility factors. It is argued that after some modification the developed approach can be also used to describe the mixtures of gases of convex hard particles of different sizes and shapes.

    nucl-thcond-mat.stat-mechEur.Phys.J.ST(2020)·10 citations
  2. 02

    Nuclear incompressibility from spherical and deformed nuclei

    Danilo Gambacurta (ELI-NP, Romania) · Gianluca Colò (University of Milano and INFN, Italy) · Alessandro Pastore (University of York, UK)

    We present an analysis based on the deformed Quasi Particle Random Phase Approximation, on top of a deformed Hartree-Fock-Bogoliubov description of the ground state, aimed at studying the isoscalar monopole and quadrupole response in a deformed nucleus. This analysis is motivated by the need of understanding the coupling between the two modes and how it might affect the extraction of the nuclear incompressibility from the monopole distribution. After discussing this motivation, we present the main ingredients of our theoretical framework, and we show some results obtained with the SLy4 and SkM interactions for the nucleus Mg.

    nucl-thnucl-exJ.Phys.Conf.Ser.(2020)·5 citations
  3. 03

    Influence of the Pauli principle on two-cluster potential energy

    Yu. A. Lashko · V. S. Vasilevsky · G. F. Filippov

    We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant -cluster channel. For this aim we construct matrix elements of two-cluster potential energy between cluster oscillator functions with and without full antisymmetrization. Eigenvalues and eigenfunctions of the potential energy matrix are studied in detail. Eigenfunctions of the potential energy operator are presented in oscillator, coordinate and momentum spaces. We demonstrate that the Pauli principle affects more strongly the eigenfunctions than the eigenvalues of the matrix and leads to the formation of resonance and trapped states.

    nucl-thSciPost Phys.Proc.(2020)·0 citations
  4. 04

    Role of resonances in the 8li(p,g)9be capture on reaction rate of the relevant astrophysical synthesis of 9be

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

    The total cross sections of the radiative proton capture on 8Li at astrophysical energies were considered in the framework of the modified potential cluster model with forbidden states, with the classification of the orbital cluster states according to Young diagrams. The recalculation of total cross sections for the 9Be({\gamma},p0)8Li photodisintegration was used as experimental data. In whole, it is possible to obtain the available data on cross sections at energies to 7.0 MeV. Astrophysical S-factors and reaction rates at the temperature range of 0.01 to 10 T9 were calculated. It was shown that the resonances in the p8Li scattering channel considerably influence to the reaction rate and, in the first place, the first - at 87 keV. The analytical parametrization was obtained for calculated reaction rate.

    nucl-thNPA(2020)·2 citations

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