Nuclear Shell Structure and Dynamical Nucleon Effective Mass in a Finite Temperature Relativistic Framework
Herlik Wibowo1*, Elena Litvinova2,3,4
1Institute of Physics, Academia Sinica, Nangang District, Taipei City, Taiwan
2Department of Physics, Western Michigan University, Kalamazoo, Michigan, USA
3National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan, USA
4GANIL, CEA/DRF-CNRS/IN2P3, F-14076 Caen, France
* Presenter:Herlik Wibowo,
We study the temperature evolution of nuclear shell structure and dynamical nucleon effective mass in medium-mass hot nuclei using the Matsubara Green's function technique. We model a hot nucleus as a system of Dirac nucleons moving in a self-consistent mean field generated by the effective mesons at finite temperature. We formulate the finite-temperature Dyson equation, which consists of the static and energy-dependent self-energies. The static self-energy originates from the thermal mean field, whereas the coupling between nucleons and phonons induces the energy-dependent self-energy. We solve the finite-temperature Dyson equation in the basis of Dirac spinors and investigate the fragmentation of the single-particle states and its temperature evolution for Nickel isotopes: ⁵⁶Ni, ⁶⁸Ni, and ⁷⁸Ni. From the energy-dependent self-energy, we extract the dynamical nucleon effective mass at various temperatures.

Keywords: nucleon effective mass, nuclear shell structure, Matsubara Green's function, Dyson equation, finite temperature mean field