The generator-coordinate-method with conjugate parameters and the unification of microscopic theories for large amplitude collective motion

1980 ◽  
Vol 124 (2) ◽  
pp. 249-289 ◽  
Author(s):  
K Goeke ◽  
P.-G Reinhard
Keyword(s):  
Large Amplitude ◽  
Collective Motion ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate

A MASS PARAMETER FOR NUCLEAR COLLECTIVE MOTION FROM THE GENERATOR COORDINATE METHOD

1994 ◽  
Vol 03 (02) ◽  
pp. 783-791
Author(s):  
G. ABAL ◽  
L.F. CANTO ◽  
R.J. DONANGELO
Keyword(s):  
Phase Space ◽  
Collective Motion ◽  
Mass Parameter ◽  
Mass Range ◽  
Simple Expression ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Shell Effects ◽  
Generator Coordinate ◽  
Spherical Limit

We calculate a mass parameter for nuclear collective motion within the framework of the Generator Coordinate Method. Two alternative phase space normalization schemes are presented, and a simple expression for the collective mass is obtained within the Gaussian Overlap Approximation. As an application, we calculate the mass parameter associated with β vibrations. A systematic study carried out in the mass range 12≤A≤100 shows pronounced shell effects. Our results in the spherical limit are shown to exceed the well known inertia for quadrapole oscillations in an irrotational fluid by a factor 2–3. It is argued that the application of this method to other problems in nuclear structure and reactions should be straightforward.

Generator Coordinate Method for Scattering: An Exact Solution

1973 ◽  
Vol 7 (6) ◽  
pp. 2274-2281 ◽  
Author(s):  
B. Giraud ◽  
J. C. Hocquenghem ◽  
A. Lumbroso
Keyword(s):  
Exact Solution ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate
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