Theoretical study of multinucleon transfer reactions by coupling the Langevin dynamics iteratively with the master equation
F. C. Dai, Peiwei Wen, C. J. Lin, J. J. Liu, X. X. Xu, K. L. Wang, H. M. Jia, Louis Yang, N. R., F. Yang
Abstract
Multinucleon transfer (MNT) reactions have received increasing interest in the synthesis of neutron-rich nuclei due to the distinct limitations of other reactions, particularly in the $N=126$ region, which represents the last waiting point of astrophysical nucleosynthesis. However, it is still a challenging endeavor to describe the MNT process between heavy nuclei. In this study, we develop a theoretical framework that couples the Langevin dynamics iteratively with the master equation, which is based on the HICOL model (CLIM-H). The random transfer process is achieved by solving the master equation using the Monte Carlo method, where the parametric transfer probability with a $Q$ window is employed. The isotope distributions for $^{58,64}\mathrm{Ni}+^{208}\mathrm{Pb}$, as well as the angular and isotope distributions of the recently measured $^{206}\mathrm{Pb}+^{118}\mathrm{Sn}$, could be generally reproduced based on this method. Contrary to previous theoretical predictions which show a high production cross section of $N=126$ nuclei, current calculations do not reveal appreciable cross sections. The distinguishing characteristic of this approach is its ability to generate not only the mass distribution but also the charge distribution self-consistently, which could provide references for many other studies using the multidimensional Langevin equation considering only the mass asymmetry degree of freedom.