Deformed two center shell model

Details Deformed two center shell model Deformed two center shell model

2002-10-22

arxiv.org/abs/nucl-th/0210064v1

Phys.Rev. C67 (2003) 014309

Physics

Nuclear Physics

Nuclear Theory

32 pages, 8 figures

Scientific paper

10.1103/PhysRevC.67.014309

A highly specialized two-center shell model has been developed accounting for the splitting of a deformed parent nucleus into two ellipsoidaly deformed fragments. The potential is based on deformed oscillator wells in direct correspondance with the shape change of the nuclear system. For the first time a potential responsible for the necking part between the fragments is introduced on potential theory basis. As a direct consequence, spin-orbit {\bf ls} and {\bf l$^2$} operators are calculated as shape dependent. Level scheme evolution along the fission path for pairs of ellipsoidaly deformed fragments is calculated. The Strutinsky method yields the shell corrections for different mass asymmetries from the superheavy nucleus $^{306}$122 and $^{252}$Cf all along the splitting process.

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