A Novel Approach for Taking into Account the Zero-Point Oscillations in Calculating Heavy-Ion Fusion Cross-Sections.

Autor: Chushnyakova, M. V., Gontchar, I. I.
Zdroj: Moscow University Physics Bulletin; Feb2023, Vol. 78 Issue 1, p39-47, 9p
Abstrakt: Earlier, it was shown in the literature that accounting for the zero-point oscillations (ZPO) of the colliding nuclei shapes results in significant increase of the calculated sub-barrier capture (fusion) cross sections. Yet, such calculations had been performed in a simplified approach with a schematic nucleus–nucleus potential. The present paper aims to evaluate accurately the sub-barrier capture cross sections in the collision of oxigen-16 with spherical nuclei using a realistic potential and to compare the calculated cross sections with the experimental data. The nucleus–nucleus potential is evaluated within the framework of the double-folding model with M3Y–Paris nucleon–nucleon forces. The nucleon densities are borrowed from the IAEA data base, they were computed using the Hartree–Fock–Bogolubov methos and approximated by the two-parameter Fermi formula. The transmission coefficients are evaluated using the WKB approximation below the barrier and the parabolic barrier approximation above the barrier. The proposed novel method to account for ZPO does not use any adjustable parameters. It is demonstrated that ignoring ZPO results in underestimating experimental data whereas accounting for ZPO allows to reach a better agreement. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index