Potential energy models of excited compound nucleus

Abstract

Potential energy is important ingredient in static and dynamical investigations of a nuclear fission process. The calculation of surface, nuclear, Coulomb, rotational, curvature, congruence, and Wigner energy functionals is presented for large variety of nuclear shapes generated by a {c,h,α} parametrization. Using these functionals one can calculate the potential energy in several macroscopic models of the liquid-drop type. A numerical code which calculates all these quantities is made available. Program summaryProgram Title: FRM_epotCPC Library link to program files:http://dx.doi.org/10.17632/h7r43t7dnh.1Licensing provisions: CC BY NC 3.0Programming language: C++Nature of problem: The shape dependence of the surface, nuclear, Coulomb, rotational, curvature, congruence, and Wigner energy functionals together with the moments of inertia for rotation, center-of-mass distance between nascent fragments are calculated for deformed shapes of the fissioning compound nucleus. These functionals allow to calculate the potential energy in several macroscopic models of the liquid-drop type for a large variety of nuclear shapes.Solution method: The shape of the fissioning nucleus is described by the {c,h,α} parametrization. This parametrization determines the axially symmetric shapes in cylindrical coordinates. The potential energy functionals are calculated using numerical integration procedure as a function of the three shape parameters. Using these functionals one can generate potential energy of the nucleus in four different versions of the liquid-drop model. All subroutines, which define the nuclear shape are separated from the code, which calculates the potential energy functionals. Thus, the program could be easily adopted for any other shape parametrization in case if it is given in cylindrical coordinates.