Nuclear Collective Dynamics in Transport Model With the Lattice Hamiltonian Method

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 208 Pb 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.

Relativistic kinetic approach to light nuclei production in high-energy nuclear collisions

“…After letting the pion to scatter with the nucleon, their final momenta are then sampled according to the differential cross section but with the nucleon to be off-shell, which subsequently coalesces with the other nearby nucleon to form a deuteron. Since we employ the stochastic method [18,41,42], the probabilities of these two processes are directly evaluated according to Eq. ( 3) and Eq.…”