Mass parameters in the adiabatic timedependent HartreeFock approximation. I. Theoretical aspects; the case of a single collective variable
Abstract
A selfconsistent method for evaluation of mass parameters is presented in the framework of the adiabatic limit of the timedependent HartreeFock approximation, reduced to a single collective variable. The corresponding collective path is assumed to be given either by solving a constrained HartreeFock problem with a given timeeven constraining operator Q, or by scaling a static HartreeFock equilibrium solution. In the former case, once the path is given, a method for solving the equation of motion (of the Hamilton type) is provided, which reduces to a doubleconstrained HartreeFock problem with the timeeven constraint Q and with a timeodd constraining operator P. In the case of the scaling path, an analytical solution of the Hamilton equation is discussed and the adiabatic mass for the particular case of an isoscalar quadrupole Q_{20} mode is given. The operator P, which is uniquely determined from the knowledge of Q, has the physical meaning of a momentum operator; it satisfies, together with Q, a weak quantal conjugation relation. Finally, the connection between the two paths is discussed in terms of generalized randomphase approximation sum rules. NUCLEAR STRUCTURE Evaluation of mass parameters within timedependent HartreeFock approximation in adiabatic limit for single collective variable motion. Discussion and comparison of constrained HartreeFock and scaling paths. Expression as a doubly constrained HartreeFock problem with momentum operator uniquely defined from coordinate operator. Connection with sum rule and Inglis cranking approaches.
 Publication:

Physical Review C
 Pub Date:
 May 1980
 DOI:
 10.1103/PhysRevC.21.2060
 Bibcode:
 1980PhRvC..21.2060G