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Nuclear Theory·nucl-th

Wednesday·May 27, 2020

6 papers—3 primary·3 cross-listed

All6Primary3Cross-lists3
  1. 01

    [Submitted on 25 May 2020]

    The fractal geometry and the mapping of Efimov states to Bloch states

    Ehoud Pazy

    Efimov states are known to have a discrete real space scale invariance, working in momentum space we identify the relevant discrete scale invariance for the scattering amplitude defining its Weierstrass function as well. Through the use of the mathematical formalism for discrete scale invariance for the scattering amplitude we identify the scaling parameters from the pole structure of the corresponding zeta function, it's zeroth order pole is fixed by the Efimov physics. The corresponding geometrical fractal structure for Efimov physics in momentum space is identified as a ray across a logarithmic spiral. This geometrical structure also appears in the physics of atomic collapse in the relativistic regime connecting it to Efimov physics. Transforming to logarithmic variables in momentum space we map the three-body scattering amplitude into Bloch states and the ladder of energies of the Efimov states are simply obtained interms of the Bohr-Sommerfeld quantization rule. Thus through the mapping the complex problem of three-body short range interaction is transformed to that of a non-interacting single particle in a discrete lattice.

    Comments:
    12 pages, 1 figure
    Subjects:
    Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas)
    arXiv:
    2005.12350 [pdf]
    PRE(2020)·0 citations
  2. 02

    [Submitted on 23 May 2020]

    Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions

    Yingxun Zhang🇨🇳 · Ning Wang🇨🇳 · Qingfeng Li🇨🇳 · Li Ou🇨🇳 · Junlong Tian🇨🇳 · Min Liu🇨🇳 · Kai Zhao🇨🇳 · Xizhen Wu🇨🇳 · Zhuxia Li🇨🇳

    In this review article, we first briefly introduce the transport theory and quantum molecular dynamics model applied in the study of the heavy ion collisions from low to intermediate energies. The developments of improved quantum molecular dynamics model (ImQMD) and ultra-relativistic quantum molecular dynamics model (UrQMD), are reviewed. The reaction mechanism and phenomena related to the fusion, multinucleon transfer, fragmentation, collective flow and particle production are reviewed and discussed within the framework of the two models. The constraints on the isospin asymmetric nuclear equation of state and in-medium nucleon-nucleon cross sections by comparing the heavy ion collision data with transport models calculations in last decades are also discussed, and the uncertainties of these constraints are analyzed as well. Finally, we discuss the future direction of the development of the transport models for improving the understanding of the reaction mechanism, the descriptions of various observables, the constraint on the nuclear equation of state, as well as for the constraint on in-medium nucleon-nucleon cross sections.

    Comments:
    64 pages, 55 figures. Review article for Frontiers of Physics
    Subjects:
    Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
    arXiv:
    2005.12877 [pdf]
    Front.Phys.(Beijing)(2020)·56 citations
  3. 03

    [Submitted on 26 May 2020]

    Global Description of Beta Decay with the Axially-Deformed Skyrme Finite Amplitude Method: Extension to Odd-Mass and Odd-Odd Nuclei

    E. M. Ney · J. Engel · N. Schunck

    We use the finite amplitude method (FAM), an efficient implementation of the quasiparticle random phase approximation, to compute beta-decay rates with Skyrme energy-density functionals for 3983 nuclei, essentially all the medium-mass and heavy isotopes on the neutron rich side of stability. We employ an extension of the FAM that treats odd-mass and odd-odd nuclear ground states in the equal filling approximation. Our rates are in reasonable agreement both with experimental data where available and with rates from other global calculations.

    Comments:
    11 pages, 7 figures, supplemental material. Submitted to Phys. Rev. C
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2005.12883 [pdf]
    PRC(2020)·98 citations

Affiliations

first authorsco-authorsvia INSPIRE