Pauli distorted double folded potential

Abstract

A new method to incorporate the Pauli principle into the double folding approach to the nucleus-nucleus potential is proposed. The description of the exchange terms at the level of the quasiclassical one-body density matrix is used. It is shown that in order to take into account the Pauli blocking properly, a redefinition of the density matrices of the free isolated nuclei must be done. A solution to the self-consistent incorporation of the Pauli blocking effects in the mean-field nucleus-nucleus potential is obtained in the Thomas-Fermi approximation.

Nuclear rainbow scattering and nucleus–nucleus potential

“…As a result, the real nucleus-nucleus OP obtained in the NM approach is quite shallow at low energies and becomes deeper as the energy increases [76,77], in a contradiction with the established systematics [5]. The consistent use of the local nucleon relative momentum k = K(R)/M in the PDDFM calculation of the exchange potential has confirmed [82] Fermi -spheres densities Figure 22. Nuclear densities of the two colliding nuclei and two corresponding Fermi spheres (dashed circles) separated by the relative-motion momentum K. If K is taken to be the local relative momentum (24) determined self-consistently by a mean-field attractive potential then it becomes larger as the potential gets deeper at low energies and, thus, suppresses the Pauli distortion of the two Fermi spheres in the momentum space [82].…”

“…The main concept of this "Pauli distorted double-folding model" (PDDFM) [82] is illustrated in upper part of Fig. 22.…”

Optical potential parameters from12C + Zr elastic scattering

“…It has been of great interest to study the optical potential in heavy ion physics for many years [1][2][3][4][5][6][7][8][9][10]. The potential consists of nuclear, Coulomb, and centrifugal components.…”

Nucleus-nucleus potential with shell-correction contribution

“…[2][3][4][6][7][8][9][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and papers cited therein. There are also simple phenomenological parametrizations of the nucleus-nucleus potential [1,3,4,10,[27][28][29][30][31][32][33][34][35][36], which are often used for the description of various heavy-ion reactions.…”