Analogue Aharonov-Bohm effect in neo-Newtonian theory

TL;DR

This paper investigates how pressure effects in neo-Newtonian hydrodynamics modify the analogue Aharonov-Bohm effect observed in acoustic black hole scattering of planar scalar waves, revealing new scattering phenomena.

Contribution

It introduces a neo-Newtonian framework to analyze the scattering of waves by acoustic black holes, incorporating pressure effects into the analogue Aharonov-Bohm effect.

Findings

Pressure modifies the scattering cross section

Analogue Aharonov-Bohm effect is altered by neo-Newtonian parameters

New scattering features emerge due to pressure effects

Abstract

We address the issues of the scattering of massless planar scalar waves by an acoustic black hole in neo-Newtonian hydrodynamics. We then compute the differential cross section through the use of the partial wave approach in the neo-Newtonian theory which is a modification of the usual Newtonian theory that correctly incorporates the effects of pressure. We mainly show that the scattering of planar waves leads to a modified analogue Aharonov-Bohm effect due to a nontrivial response of the parameters defining the equation of state.