Direct Determination of Intermolecular Potential Parameters from Scattering Phase Shifts

1963 ◽  
Vol 39 (10) ◽  
pp. 2572-2580 ◽  
Author(s):  
W. A. Sanders ◽  
C. R. Mueller
Keyword(s):  
Direct Determination ◽  
Phase Shifts ◽  
Intermolecular Potential ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Potential Parameters

scholarly journals Lattice determination of I=0 and 2 ππ scattering phase shifts with a physical pion mass

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
T. Blum ◽  
P. A. Boyle ◽  
M. Bruno ◽  
N. H. Christ ◽  
D. Hoying ◽  
...  
Keyword(s):  
Pion Mass ◽  
Phase Shifts ◽  
Physical Pion ◽  
Scattering Phase ◽  
Scattering 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.

scholarly journals Neutron-Proton Scattering Phase Shifts in S-Channel using Phase Function Method for Various Two Term Potentials

2021 ◽  
Vol 9 (1) ◽  
pp. 87-93
Author(s):  
Anil Khachi ◽  
Lalit Kumar ◽  
O. S. K. S. Sastri
Keyword(s):  
Phase Function ◽  
Function Method ◽  
Analytical Techniques ◽  
Phase Shifts ◽  
Percentage Error ◽  
Phase Function Method ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Experimental Values ◽  
Potential Parameters

The scattering phase shifts for n-p scattering have been modeled using various two term exponential type potentials such as Malfliet-Tjon, Manning-Rosen and Morse to study the phase shifts in the S-channels. As a first step, the model arameters for each of the potentials are determined by obtaining binding energy of the deuteron using matrix methods vis-a-vis Variational Monte-Carlo (VMC) technique to minimize the percentage error w.r.t. the experimental value. Then, the first order ODE as given by phase function method (PFM), is numerically solved using 5th order Runge-Kutta (RK-5) technique, by substituting the obtained potentials for calculating phase shifts for the bound 3S1 channel. Finally, the potential parameters are varied in least squares sense using VMC technique to obtain the scattering phase-shifts for each of the potentials in the 1S0 channel. The numerically obtained values are seen to be matching with those obtained using other analytical techniques and a comparative analysis with the experimental values up to 300 MeV is presented.

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