AUTHOR=Wang Rui , Zhang Zhen , Chen Lie-Wen , Ma Yu-Gang TITLE=Nuclear Collective Dynamics in Transport Model With the Lattice Hamiltonian Method JOURNAL=Frontiers in Physics VOLUME=8 YEAR=2020 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00330 DOI=10.3389/fphy.2020.00330 ISSN=2296-424X ABSTRACT=

We review recent progress in studying nuclear collective dynamics by solving the Boltzmann-Uehling-Uhlenbeck (BUU) equation with the lattice Hamiltonian method, treating the collision term with the full-ensemble stochastic collision approach. This lattice BUU (LBUU) method has recently been developed and implemented with a GPU parallel computing technique, and achieves rather stable nuclear ground-state evolution and high accuracy in evaluating the nucleon-nucleon (NN) collision term. This new LBUU method has been applied to investigate nuclear isoscalar giant monopole resonances and isovector giant dipole resonances. While calculations using the LBUU method without the NN collision term (i.e., the lattice Hamiltonian Vlasov method) provide a reasonable description of the excitation energies of nuclear giant resonances, the full LBUU calculations can well reproduce the width of the giant dipole resonance of 208Pb by including a collisional damping from NN scattering. The observed strong correlation between the width of the nuclear giant dipole resonance and the NN elastic cross-section suggests that the NN elastic scattering plays an important role in nuclear collective dynamics, and the width of the nuclear giant dipole resonance provides a good probe of the in-medium NN elastic cross-section.