Determination of scattering phase shifts via the generalized unitarity theoremfor spin-orbit interactions

1997 ◽  
Vol 55 (3) ◽  
pp. 2015-2023 ◽  
Author(s):  
H. Huber ◽  
D. R. Lun ◽  
L. J. Allen ◽  
K. Amos
2021 ◽  
Vol 104 (11) ◽  
Author(s):  
T. Blum ◽  
P. A. Boyle ◽  
M. Bruno ◽  
N. H. Christ ◽  
D. Hoying ◽  
...  

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
K. J. Oyewumi ◽  
O. J. Oluwadare

In this paper, we studied the approximate scattering state solutions of the Dirac equation with the hyperbolical potential with pseudospin and spin symmetries. By applying an improved Greene-Aldrich approximation scheme within the formalism of functional analytical method, we obtained the spin-orbit quantum numbers dependent scattering phase shifts for the spin and pseudospin symmetries. The normalization constants, lower and upper radial spinor for the two symmetries, and the relativistic energy spectra were presented. Our results reveal that both the symmetry constants (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly.


Open Physics ◽  
2010 ◽  
Vol 8 (6) ◽  
Author(s):  
Gintautas Kamuntavičius ◽  
Marius Kaminskas

AbstractA local nucleon-nucleon potential expansion is developed in terms of orthogonal projectors. Considering the nucleon-nucleon (NN) potential as a completely phenomenological structure, the expansion provides an opportunity to obtain the NN scattering phase shifts that can be described by applying a restricted set of operators, dependent on angular and spin-isospin degrees of freedom of the interacting nucleons. The results obtained with an approximation for eight basic operators (central, spin-orbit and tensorial) are consistent with experience in the field, and provide directions for further modifications of realistic NN potentials.


1975 ◽  
Vol 53 (3) ◽  
pp. 203-206
Author(s):  
M. Betz ◽  
J. P. Jeukenne ◽  
A. Lejeune

The properties of the Sussex interaction are tested in the study of the n–16O elastic scattering described by the potential scattering in the Hartree–Fock field. This force leads to an easy determination of the self-consistent field, but gives s1/2 and d3/2 phase shifts which are not very satisfactory. This results from the important gap separating bound and unbound states. Further, some uncertainty in the calculation arises from approximations necessary in order to obtain some nondiagonal matrix elements of the two body force which are necessary in the determination of the phase shifts.


Sign in / Sign up

Export Citation Format

Share Document