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Nuclear Theory·nucl-th

Friday·December 18, 2020

6 papers—3 primary·3 cross-listed

All6Primary3Cross-lists3
  1. 01

    Probing the boundary of phase transition of nuclear matter using proton flows in heavy-ion collisions at 2-8 GeV/nucleon

    Ya-Fei Guo🇨🇳 · Gao-Chan Yong🇨🇳

    Based on the relativistic transport model ART with the hadronic equation of state extended to have a phase transition via the use of the MIT bag model, properties of phase transition of dense nuclear matter formed in relativistic heavy-ion collisions are investigated. Proton sideward and directed flows are calculated with different equation of states in Au + Au collisions at beam energies of 2, 4, 6 and 8 GeV/nucleon. Compared with AGS experimental data in existence, the boundary of first-order phase transition is roughly confined, i.e., in the range of 2.5-4 times saturation density with temperature about 64-94 MeV. Such constraints are useful for ongoing RHIC Beam Energy Scan-II program to study the QCD matter phase diagram.

    nucl-thnucl-exPLB(2021)·8 citations
  2. 02

    The nucleon-pair approximation for nuclei from spherical to deformed regions

    G. J. Fu · Calvin W. Johnson

    In this paper we model low-lying states of atomic nuclei in the nucleon-pair approximation of the shell model, using three approaches to select collective nucleon pairs: the generalized seniority scheme, the conjugate gradient method, and the Hartree-Fock approach. We find the collective pairs obtained from the generalized seniority scheme provides a good description for nearly spherical nuclei, and those from the conjugate gradient method or the Hartree-Fock approach work well for transitional and deformed nuclei. Our NPA calculations using collective pairs with angular momenta 0, 2, and 4 (denoted by pairs) reproduce the nuclear shape evolution in the isotones, Ca, Ti, Cr, and Fe, and yield good agreement with full configuration-interaction calculations of low-lying states in medium-heavy transitional and deformed nuclei: Ti, Cr, Cr, Fe, Zn, Ge, Mo, and Xe. Finally, using the -pair approximation we describe low-lying states of Ba, cases difficult to reach by conventional configuration-interaction methods.

    nucl-thPRC(2021)·14 citations
  3. 03

    Quantum statistics effects and fluctuations of particle numbers near the critical point of nuclear matter

    S.N. Fedotkin · A.G. Magner · U.V. Grygoriev

    Equation of state with quantum statistics corrections is derived for a multi-component gas of particles interacting through the repulsive and attractive van der Waals (vdW) forces up to first few orders over a small parameter , where and are the particle number density and temperature, and the particle mass and degeneracy factor. The parameter corresponds to the vdW excluded volume. For interacting system of Fermi nucleon and Bose particles, a small impurity of particles to the nucleon system at leading first order in both particle and nucleon small parameters does not change much the basic results for the symmetric nuclear matter. The particle number fluctuations determined by the isothermal in-compressibility can be obtained analytically at the same first order quantum-statistics approximation for symmetric nucleon matter. Our approximate analytical results appear to be in good agreement with the accurate numerical calculations.

    nucl-th3 citations

Affiliations

first authorsco-authorsvia INSPIRE