A possible quantum fluid-dynamical approach to vortex motion in nuclei

TL;DR

This paper explores a novel quantum fluid-dynamical approach to model vortex motion in nuclei, extending classical fluid concepts to nuclear physics and aiming to incorporate internal rotational effects into nuclear collective motion theories.

Contribution

It introduces a quantum fluid-dynamical framework for describing vortex motion in nuclei, building on classical fluid models and previous quantum fluid theories, which has not been addressed in traditional nuclear models.

Findings

Proposes a quantum fluid-dynamical model for nuclear vortex motion.

Connects classical fluid representations with quantum nuclear dynamics.

Suggests potential for new insights into nuclear collective excitations.

Abstract

The essential point of Bohr-Mottelson theory is to assume a irrotational flow. As was already suggested by Marumori and Watanabe, the internal rotational motion, i.e., the vortex motion, however, may exist also in nuclei. So, we have a necessity of taking the vortex motion into consideration. In a classical fluid dynamics, there are various ways to treat the internal rotational velocity. The Clebsch representation, v(x) = -\nabla \phi(x) + \lambda(x) \nabla \psi(x) (\phi ; velocity potential, \lambda and \psi: Clebsch parameters) is very powerful and has an advantage deriving equations of fluid motion from a Lagransian. Making the best use of the advantage, Kronig-Thellung, Ziman and Ito obtained a Hamiltonian including the internal rotational motion, the vortex motion, through the term \lambda(x) \nabla \psi(x). Going to quantum fluid dynamics, Ziman and Thellung finally derived a roton spectrum of liquid Helium II postulated by Landau. Is it possible to apply such the manner to a description of the collective vortex motion in nuclei? The description of such a collective motion has never been treated in the Bohr-Mottelson model (BMM) for a long time. In this paper, we will investigate a possibility of describing the vortex motion in nuclei basing on the theories of Ziman and Ito together with Marumori's work.