Solution of the center-of-mass problem in nuclear structure calculations

TL;DR

This paper demonstrates that coupled-cluster wave functions can be effectively factorized into intrinsic and center-of-mass components, with a method to verify the quality of this separation, improving nuclear structure calculations.

Contribution

It introduces a practical approach to separate intrinsic and center-of-mass motions in coupled-cluster nuclear calculations, addressing a longstanding problem.

Findings

Successful factorization of wave functions into intrinsic and center-of-mass parts

Verification procedure for the quality of separation

Gaussian width not necessarily matching oscillator length

Abstract

The coupled-cluster wave function factorizes to a very good approximation into a product of an intrinsic wave function and a Gaussian for the center-of-mass coordinate. The width of the Gaussian is in general not identical to the oscillator length of the underlying single-particle basis. The quality of the separation can be verified by a simple procedure.