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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
  4. 04

    [Submitted on 25 May 2020] (cross-list from hep-ph)

    Recoil-free azimuthal angle for precision boson-jet correlation

    Yang-Ting Chien🇺🇸 · Rudi Rahn🇳🇱 · Solange Schrijnder van Velzen🇳🇱 · Ding Yu Shao🇺🇸 · Wouter J. Waalewijn🇳🇱 · Bin Wu🇨🇭

    The azimuthal decorrelation between a vector boson and a jet is an essential hard probe in high energy proton-proton and heavy-ion collisions. We overcome intrinsic limitations of previous studies by using a recoil-free axis, achieving unprecedented next-to-next-to-leading logarithmic accuracy with small nonperturbative corrections. This choice of axis also makes the observable robust in the presence of a large background. Furthermore, the azimuthal angle distribution is minimally changed when determined using only charged particle tracks, which offer superior angular resolution for precise measurements. Our effective field theory includes full jet dynamics, and we find contributions from linearly-polarized gluon transverse momentum distributions in the initial and final state.

    Comments:
    7 pages, 4 figures, Published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
    arXiv:
    2005.12279 [pdf]
    PLB(2021)·65 citations
  5. 05

    [Submitted on 25 May 2020] (cross-list from hep-th)

    QCD thermalization: Ab initio approaches and interdisciplinary connections

    Jürgen Berges🇩🇪 · Michal P. Heller🇩🇪 · Aleksas Mazeliauskas🇨🇭 · Raju Venugopalan🇺🇸

    Heavy-ion collisions at BNL's Relativistic Heavy Ion Collider and CERN's Large Hadron Collider provide strong evidence for the formation of a quark-gluon plasma, with temperatures extracted from relativistic viscous hydrodynamic simulations shown to be well above the transition temperature from hadron matter. How the strongly correlated quark-gluon matter forms in a heavy-ion collision, its properties off-equilibrium, and the thermalization process in the plasma, are outstanding problems in QCD. We review here the theoretical progress in this field in weak coupling QCD effective field theories and in strong coupling holographic approaches based on gauge-gravity duality. We outline the interdisciplinary connections of different stages of the thermalization process to non-equilibrium dynamics in other systems across energy scales ranging from inflationary cosmology, to strong field QED, to ultracold atomic gases, with emphasis on the universal dynamics of non-thermal and of hydrodynamic attractors. We survey measurements in heavy-ion collisions that are sensitive to the early non-equilibrium stages of the collision and discuss the potential for future measurements. We summarize the current state-of-the art in thermalization studies and identify promising avenues for further progress.

    Comments:
    73 pages, 32 figures, prepared for Reviews of Modern Physics; version 2: small improvements and additions, submitted version; version 3: accepted version; title changed, differs in style and format from published version in Reviews of Modern Physics
    Subjects:
    High Energy Physics — Theory (hep-th); Quantum Gases (cond-mat.quant-gas); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
    arXiv:
    2005.12299 [pdf]
    RMP(2021)·369 citations
  6. 06

    [Submitted on 26 May 2020] (cross-list from hep-ph)

    Hadronic transport coefficients from the linear sigma model at finite temperature

    Matthew Heffernan🇨🇦 · Sangyong Jeon🇨🇦 · Charles Gale🇨🇦

    We investigate general frameworks for calculating transport coefficients for quasiparticle theories at finite temperature. Hadronic transport coefficients are then computed using the linear sigma model (LSM). The bulk viscosity over entropy density () is evaluated in the relaxation time approximation (RTA) and the specific shear viscosity () and static electrical conductivity () are both obtained in the RTA and using a functional variational approach. Results are shown for different values of the scalar-isoscalar hadron vacuum mass with in-medium masses for the interacting fields. The advantages and limitations of the LSM for studies of strongly interacting matter out of equilibrium are discussed and results are compared with others in the literature.

    Comments:
    16 pages, 7 figures; updated to match published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    2005.12793 [pdf]
    PRC(2020)·17 citations

Affiliations

first authorsco-authorsvia INSPIRE