Author
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
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
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
)