Abstract
In the present contribution, the effect of pairing on nuclear transfer and fusion reactions close to the Coulomb barrier is discussed. A Time-Dependent Hartree-Fock + BCS (TDHF+BCS) microscopic theory has been developed to incorporate pairing. One- and two-particle transfer probabilities can be obtained showing the importance of pairing. The calculated transfer probabilities are compared to the recent experimental results obtained for the $^{96}$Zr+$^{40}$Ca. Reactions involving the $^{18}$O with lead isotopes are also presented, that are also of current experimental interest. Finally, a study of the fusion barrier height predicted with the TDHF+BCS theory is compared to the experimental values for the $^{40,44,48}$Ca+$^{40}$Ca reactions.
Highlights
Pairing correlations are known to play an important role in the structure of the nucleus
The natural way to incorporate pairing into a mean field dynamic, is to extend Time-Dependent HartreeFock theory by introducing a quasi-particle picture. This leads to the so-called Time-dependent Hartree-FockBogoliubov (TDHFB) approach
The results found by the TDHF+BCS theory is below the experimental data by a factor 4 at 90 MeV while only 15 % of the probability is missed at 93 MeV
Summary
Pairing correlations are known to play an important role in the structure of the nucleus. The natural way to incorporate pairing into a mean field dynamic, is to extend Time-Dependent HartreeFock theory by introducing a quasi-particle picture. This leads to the so-called Time-dependent Hartree-FockBogoliubov (TDHFB) approach. A good compromise able to grasps most aspects of pairing correlations while keeping the numerical simulation reasonable, is to consider its simplified TDHF+BCS limit [2, 7]. This approach has been applied to nuclear collision at energy close or below the Coulomb barrier.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
