6533b7dafe1ef96bd126f4b5

RESEARCH PRODUCT

Effect of three-body cluster on the healing properties of the Jastrow Correlation function

Hartmuth ArenhövelPaul-gerhard Reinhard

subject

PhysicsNuclear and High Energy PhysicsNonlinear systemCorrelation functionVariational equationQuantum electrodynamicsCluster (physics)Boundary value problemStatistical physicsEnergy functional

description

A variational equation for the Jastrow Correlation function is derived from the energy functional expanded up to three-body cluster terms. The asymptotic behaviour of this nonlinear equation is studied. The solutions show a healing at least of the type cos(tαr)/r2. The influence of higher cluster contributions is studied. Finally, it is discussed, how one can reduce the many-body cluster contributions to healing conditions to be used in the two-body cluster treatment.

https://doi.org/10.1007/bf01396277