Computation of Elastic Scattering Phase Shifts via Analytic Continuation of Fredholm Determinants Constructed Using anL2Basis

1972 ◽  
Vol 28 (7) ◽  
pp. 401-403 ◽  
Author(s):  
W. P. Reinhardt ◽  
D. W. Oxtoby ◽  
T. N. Rescigno
Keyword(s):  
Elastic Scattering ◽  
Analytic Continuation ◽  
Phase Shifts ◽  
Fredholm Determinants ◽  
Scattering Phase ◽  
Scattering Phase Shifts

scholarly journals A Phenomenological Nucleon-Nucleon Interaction

1986 ◽  
Vol 39 (4) ◽  
pp. 461 ◽  
Author(s):  
L Berge ◽  
L Petris
Keyword(s):  
Elastic Scattering ◽  
Momentum Space ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Interaction ◽  
Dependent Form ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

A phenomenological NN interaction has been developed in momentum space to fit the elastic scattering phase shifts, the deuteron properties and to saturate nuclear matter. The special features of this interaction are gaussian momentum dependent form factors and the use of only three mesons to characterise the phase shifts.

Low Energy n–16O Elastic Scattering Phase Shifts Derived from the Sussex Interaction

1975 ◽  
Vol 53 (3) ◽  
pp. 203-206
Author(s):  
M. Betz ◽  
J. P. Jeukenne ◽  
A. Lejeune
Keyword(s):  
Elastic Scattering ◽  
Body Force ◽  
Phase Shifts ◽  
Potential Scattering ◽  
Hartree Fock ◽  
Consistent Field ◽  
Self Consistent Field ◽  
Scattering Phase ◽  
Scattering Phase Shifts

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.

Bound state methods for elastic scattering phase shifts

1975 ◽  
Vol 32 (1) ◽  
pp. 6-10 ◽  
Author(s):  
M. Oppenheimer ◽  
H. Doyle ◽  
A. Dalgarno
Keyword(s):  
Elastic Scattering ◽  
Bound State ◽  
Phase Shifts ◽  
Scattering Phase ◽  
Scattering Phase Shifts

On the scattering of electrons by atomic hydrogen

1972 ◽  
Vol 327 (1570) ◽  
pp. 425-431 ◽  
Keyword(s):  
Elastic Scattering ◽  
Differential Equations ◽  
Cross Sections ◽  
Atomic Hydrogen ◽  
Theoretical Data ◽  
Phase Shifts ◽  
Basis Set ◽  
Coupled Differential Equations ◽  
Scattering Phase ◽  
Scattering Phase Shifts

The theory given by Rudge (1970) is reformulated and a set of coupled differential equations solved to yield elastic scattering phase shifts and XS partial inelastic cross-sections. The convergence is studied as the size of the basis set is increased and results compared with other theoretical data. It is concluded that the method is a successful one though there remain problems which require further study.

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