Nonlocal separable potential and p-α scattering

1975 ◽  
Vol 30 (3) ◽  
pp. 385-392 ◽  
Author(s):  
A. A. Z. Ahmad ◽  
S. Ali ◽  
N. Ferdous ◽  
M. Ahmed
Keyword(s):  
Separable Potential ◽  
Nonlocal Separable Potential

NONLOCAL SEPARABLE SOLUTIONS OF THE INVERSE SCATTERING PROBLEM

1993 ◽  
Vol 08 (18) ◽  
pp. 3163-3184 ◽  
Author(s):  
TONY GHERGHETTA ◽  
YOICHIRO NAMBU
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Bound State ◽  
Separable Potential ◽  
Nonlocal Potential ◽  
S Wave ◽  
Weakly Bound ◽  
Square Well ◽  
Nonlocal Separable Potential

We extend the nonlocal separable potential solutions of Gourdin and Martin for the inverse scattering problem to the case where sin δ0 has more than N zeroes, δ0 being the s-wave scattering phase shift and δ0(0) − δ0(∞) = Nπ. As an example we construct the solution for the particular case of 4 He and show how to incorporate a weakly bound state. Using a local square well potential chosen to mimic the real 4 He potential, we compare the off-shell extension of the nonlocal potential solution with the exactly solvable square well. We then discuss how a nonlocal potential might be used to simplify the many-body problem of liquid 4 He .

Nonlocal separable potential for α-α interaction

1972 ◽  
Vol 42 (1) ◽  
pp. 24-26 ◽  
Author(s):  
J.V. Meboniya ◽  
I.G. Surmava
Keyword(s):  
Separable Potential ◽  
Nonlocal Separable Potential

Nonlocal separable potential in the one-dimensional Dirac equation

1988 ◽  
Vol 38 (2) ◽  
pp. 1076-1077 ◽  
Author(s):  
M. G. Calkin ◽  
D. Kiang ◽  
Y. Nogami
Keyword(s):  
Dirac Equation ◽  
Separable Potential ◽  
One Dimensional ◽  
Nonlocal Separable Potential ◽  
The One

Nonlocal separable potential andp−pscattering

1974 ◽  
Vol 9 (4) ◽  
pp. 1657-1658 ◽  
Author(s):  
S. Ali ◽  
M. Rahman ◽  
D. Husain
Keyword(s):  
Separable Potential ◽  
Nonlocal Separable Potential

Zur Lösung der BETHE-GOLDSTONE-Gleichung bei nicht-verschwindendem Gesamtimpuls I

1963 ◽  
Vol 18 (4) ◽  
pp. 531-538
Author(s):  
Dallas T. Hayes
Keyword(s):  
Approximate Solution ◽  
Analytical Solution ◽  
Nuclear Matter ◽  
Analytical Solutions ◽  
Projection Operator ◽  
Center Of Mass ◽  
Separable Potential ◽  
Localized Solutions ◽  
Non Local ◽  
Square Well

Localized solutions of the BETHE—GOLDSTONE equation for two nucleons in nuclear matter are examined as a function of the center-of-mass momentum (c. m. m.) of the two nucleons. The equation depends upon the c. m. m. as parameter due to the dependence upon the c. m. m. of the projection operator appearing in the equation. An analytical solution of the equation is obtained for a non-local but separable potential, whereby a numerical solution is also obtained. An approximate solution for small c. m. m. is calculated for a square-well potential. In the range of the approximation the two analytical solutions agree exactly.

Presence of half‐bound states in equilibrium: A separable potential estimate

1990 ◽  
Vol 92 (4) ◽  
pp. 2559-2571 ◽  
Author(s):  
Mangala S. Krishnan ◽  
R. F. Snider
Keyword(s):  
Bound States ◽  
Separable Potential ◽  
Potential Estimate
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