[en] We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock spin-orbit splitting in spherical spin unsaturated nuclei is reanalyzed. The contribution of a finite range tensor force to the spin-orbit splitting in closed shell nuclei is calculated. It is found that the exact matrix elements of a Gaussian and of a one-pion exchange tensor potential could be written as a product Skyrme's short range expression times a suppression factor which is almost constant for closed shell nuclei with mass number A >= 48. The suppression factor is similar to 0.15 for the one-pion exchange potential.
Disciplines :
Physics
Author, co-author :
Brink, D. M.; University of Oxford > Theoretical Physics > Professor
Stancu, Floarea ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)
Language :
English
Title :
Evolution of nuclear shells with the Skyrme density dependent interaction
Publication date :
June 2007
Journal title :
Physical Review. C, Nuclear Physics
ISSN :
0556-2813
eISSN :
1089-490X
Publisher :
American Physical Soc, College Pk, United States - Maryland
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