Constrained molecular dynamics. II: An \(N\)-body approach to nuclear systems (Q2485691)

The authors illustrate on concrete examples the strategy used to solve the computational task related to the quantum \(N\)-body system. They propose a solution based on the concept of the constrained dynamics and focus on the treatment of the many-body problem for nuclear systems. The constrained molecular dynamics (CoMD) uses impulsive forces that constrain the semi-classical dynamics to satisfy the Pauli principle and in CoMD II also the total angular momentum conservation. Satisfaction of this fundamental law has been undertaken in other semi-classical microscopic approaches in which the hard-core repulsive interaction is simulated through nucleon-nucleon collision processes. The choice of this strategy corresponds to the usage of transformations on the nucleon coordinates in momentum space which allow to work with an \(N^2\) dimensionality, imposed by the two-body character of the used effective interaction, rather that a \(N^4\) dimensionality as prescribed by an anti-symmetric dynamics. This choice has the obvious advantage to shorten drastically the computing time, keeping the essential features related to the fermionic dynamics. As an example the authors have shown the pronounced difference in the fusion cross-section excitation function computed with the two CoMD versions due to the restoration of the total angular momentum conservation law in CoMD II.