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Nuclear Theory·nucl-th

Thursday·June 7, 2018

7 papers—3 primary·4 cross-listed

All7Primary3Cross-lists4
  1. 01

    The Fullerene-like Structure of Superheavy Element Z=120 (Greinerium)-a tribute to Walter Greiner

    S. Misicu · I. N. Mishustin

    We review the basic ideas and some theoretical models behind the concept of fullerene-like structures made of -particles. The possibility of such a peculiar nuclear shape developing in a double magic superheavy nucleus with =120 was mentioned for the first time in the literature by Walter Greiner and then constantly defended by him. We provide estimates of the energy of such metastable states within the liquid-drop model. In the second part of this paper we discuss a simple model rooted in the nontopological soliton model consisting of a complex scalar field describing a finite system of bosons with non-linear self-interactions coupled to the electromagnetic field. We demonstrate that this model predicts density depletion in the central region of a soliton-like structure for a range of model parameters.

    nucl-th2 citations
  2. 02

    Fate of the neutron-deuteron virtual state as an Efimov level

    Gautam Rupak🇺🇸 · Akshay Vaghani🇺🇸 · Renato Higa🇧🇷 · Ubirajara van Kolck🇫🇷

    The emergence of Efimov levels in a three-body system is investigated near the unitarity limit characterized by resonating two-body interaction. No direct evidence of Efimov levels is seen in the three-nucleon system since the triton is the only physical bound state. We provide a model-independent analysis of nucleon-deuteron scattering at low energy by formulating a consistent effective field theory. We show that virtual states evolve into shallow bound states, which emerge as excited triton levels as we drive the system towards unitarity. Even though we consider this specific system, our results for the emergence of the Efimov levels are universal.

    nucl-thPLB(2019)·29 citations
  3. 03

    Spurious finite-size instabilities with Gogny-type interactions

    M. Martini🇫🇷 · A. De Pace🇮🇹 · K. Bennaceur🇫🇷

    Recently, a new parameterization of the Gogny interaction suitable for astrophysical applications, named D1M*, has been presented. We investigate the possible existence of spurious finite-size instabilities of this new Gogny force by repeating a study that we have already performed for the most commonly used parameterizations (D1, D1S, D1N, D1M) of the Gogny force. This study is based on a fully-antisymmetrized random phase approximation (RPA) calculation of the nuclear matter response functions employing the continued fraction technique. It turns out that this new Gogny interaction is affected by spurious finite-size instabilities in the scalar isovector channel; hence, unphysical results are expected in the calculation of properties of nuclei, like neutron and proton densities, if this D1M* force is used. The conclusions from this study are then, for the first time, tested against mean-field calculations in a coordinate representation for several nuclei. Unphysical results for several nuclei are also obtained with the D1N parameterization of the Gogny force. These observations strongly advocate for the use of the linear response formalism to detect and avoid finite-size instabilities during the fit of the parameters of Gogny interactions as it is already done for some Skyrme forces.

    nucl-thEPJA(2019)·14 citations

Affiliations

first authorsco-authorsvia INSPIRE