MPI calculation of microscopic nucleus-nucleus optical potential within the frame of the double-folding model

We present a method and parallel algorithm for a calculation of the optical potential of nucleus-nucleus elastic scattering on the basis of the microscopic double-folding model. In this framework, the potential consists of direct and exchange parts. Calculation of the direct potential is reduced to the relatively simple integral expression. The exchange potential is constructed by means of numerical solution of the nonlinear integral equation, which requires significant computer time. A parallel computational scheme is implemented on the basis of MPI technology (Message Passing Interface). It’s efficiency is confirmed by methodical calculations on multi-processor clusters HybriLIT and CICC of the Multifunctional Information and Computing Complex in Laboratory of Information Technologies of Joint Institute for Nuclear Research (Dubna). In the paper, the formulae of the double-folding method are given. An iterative process for numerical solution of the respective nonlinear integral equation is described as well as the parallel algorithm for calculating the optical potential of microscopic nucleus-nucleus elastic scattering. The numerical results are presented to demonstrate the effectiveness of parallel calculations in comparison with serial regime.