Landau-Zener effect in superfluid nuclear systems

Details Landau-Zener effect in superfluid nuclear systems Landau-Zener effect in superfluid nuclear systems

2002-10-25

arxiv.org/abs/nucl-th/0210076v1

Mod.Phys.Lett. A18 (2003) 1809-1818

Physics

Nuclear Physics

Nuclear Theory

9 pages, 3 Fig, submited Mod. Phys. Lett. A

Scientific paper

10.1142/S021773230301154X

The Landau--Zener effect is generalized for many-body systems with pairing residual interactions. The microscopic equations of motion are obtained and the $^{14}$C decay of $^{223}$Ra spectroscopic factors are deduced. An asymmetric nuclear shape parametrization given by two intersected spheres is used. The single particle level scheme is determined in the frame of the superasymmetric two-center shell. The deformation energy is computed in the microscopic-macroscopic approximation. The penetrabilities are obtained within the WKB approximation. The fine structure of the cluster decay analyzed in the frame of this formalism gives a very good agreement with the experimental ratio of partial half-lives obtained in special conditions

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