# Vortex Mass in a Superfluid

## TL;DR

This paper derives a microscopic, self-consistent expression for the inertial mass of a vortex in a superfluid, linking it to kelvon quasiparticles, and proposes experimental methods to measure it.

## Contribution

It provides a novel microscopic calculation of vortex mass in superfluids and suggests experimental approaches for its measurement.

## Key findings

- Vortex mass is determined by kelvon quasiparticle energy.
- The derived vortex mass aligns with experimental data.
- Proposes methods to measure vortex inertial mass and Berry phase.

## Abstract

We consider the inertial mass of a vortex in a superfluid. We obtain a vortex mass that is well defined and is determined microscopically and self-consistently by the elementary excitation energy of the kelvon quasiparticle localised within the vortex core. The obtained result for the vortex mass is found to be consistent with experimental observations on superfluid quantum gases and vortex rings in water. We propose a method to measure the inertial rest mass and Berry phase of a vortex in superfluid Bose and Fermi gases.