6533b870fe1ef96bd12cf0b8

RESEARCH PRODUCT

Adiabatic Time-Dependent Hartree-Fock Calculations of the Optimal Path, the Potential, and the Mass Parameter for Large-Amplitude Collective Motion

Paul-gerhard ReinhardK. GoekeJ. Maruhn

subject

Nuclear reactionPhysicsDifferential equationQuantum mechanicsNuclear TheoryHartree–Fock methodGeneral Physics and AstronomyAtomic physicsReduced massAdiabatic processWave functionRandom phase approximationMathematical Operators

description

The adiabatic time-dependent Hartree-Fock theory is reformulated in order to yield a simple differential equation for the collective path with accompanying simple expressions for the collective mass and the potential. With use of three-dimensional coordinate- and momentum-space techniques and density-dependent interactions, the new adiabatic time-dependent Hartree-Fock formalism is applied to $\ensuremath{\alpha}\ensuremath{-}\ensuremath{\alpha}$ scattering and correspondingly to the fission mode of $^{8}\mathrm{Be}$. In the overlapping region the resulting collective mass deviates strongly from the reduced mass.

https://doi.org/10.1103/physrevlett.44.1740