Velocity operator approach to quantum fluid dynamics in a three-dimensional neutron-proton system

TL;DR

This paper extends a velocity operator approach to describe the quantum fluid dynamics of a three-dimensional neutron-proton system, deriving a collective Hamiltonian based on velocity operators.

Contribution

It introduces a velocity operator framework for 3D neutron-proton systems, building on previous 1D models and deriving a collective Hamiltonian in terms of fluid velocities.

Findings

Derived a collective Hamiltonian using velocity operators

Extended the velocity operator approach from 1D to 3D systems

Provided a foundation for analyzing quantum fluid dynamics in nuclear matter

Abstract

In the preceeding paper, introducing isospin-dependent density operators and defining exact momenta (collective variables), we could get an exact canonically momenta approach to a one-dimensional (1D) neutron-proton (NP) system. In this paper, we attempt at a velocity operator approach to a 3D NP system. Following Sunakawa, after introducing momentum density operators, we define velocity operators, denoting classical fluid velocities. We derive a collective Hamiltonian in terms of the collective variables.