Study of Nilsson Potential at different nuclear deformations

Kardan, Azam

doi:10.29252/ijpr.17.4.609

Study of Nilsson Potential at different nuclear deformations

Author

Azam Kardan

https://doi.org/10.29252/ijpr.17.4.609

Abstract

p { margin-bottom: 0.1in; direction: ltr; color: rgb(0, 0, 0); line-height: 120%; }p.western { }p.ctl { }

We have studied the Nilsson potential energies at different deformation parameters using a code based on the perturbative treatment. Special attention is given to the projection of a proton state at different deformations on the asymptotic basis functions. Our calculations show that the spin-orbit and the orbital angular momentum terms couple different asymptotic eigenstates, Nilsson Hamiltonian being hence not diagonal in these basis functions. Therefore, at least at deformations 0.4, the asymptotic quantum numbers are not good quantum numbers.

Keywords

Nilsson model

perturbative treatment

deformation parameter

asymptotic eigenstates

good quantum numbers

1. A Kardan, et al., Phys. Rev. C 86 (2012) 014309.
2. J C Marsh, et al., Phys. Rev. C 88 (2013) 041306(R).
3. Hai-Liang Ma, et al., Phys. Rev. C 90 (2014) 014316.
4. A Kardan and S Sayyah, Int. J. Mod. Phys. E 25 (2016) 1650044.
5. S G Nilsson, Mat. Fys. Medd. Dan. Vid. Selsk, 29, No.16 (1955).
6. C Gustafsson et al, Ark. Fys 36 (1967) 613.
7. S G Nilsson and I. Ragnarsson, “Shapes and shells in nuclear structure”, Cambridge University Press, (1995).
8. T Bengtsson and I Ragnarsson, Nucl. Phys. A 436 (1985) 14