Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space

Details Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space

2006-03-06

arxiv.org/abs/nucl-th/0603015v1

Phys.Rev. C73 (2006) 034321

Physics

Nuclear Physics

Nuclear Theory

13 pages, 7 figures, accepted for publication in PRC

Scientific paper

10.1103/PhysRevC.73.034321

Solution of the momentum space Schr\"odinger equation in the case of deformed fields is being addressed. In particular it is shown that a complete set of single particle states which includes bound, resonant and complex continuum states may be obtained by the Contour Deformation Method. This generalized basis in the complex energy plane is known as a Berggren basis. The momentum space Schr\"odinger equation is an integral equation which is easily solved by matrix diagonalization routines even for the case of deformed fields. The method is demonstrated for axial symmetry and a fictitious "deformed $^5$He", but may be extended to more general deformation and applied to truly deformed halo nuclei.

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