Strange quark matter in strong magnetic fields within a confining model

TL;DR

This paper develops an equation of state for strange quark matter in strong magnetic fields using a confining model with Richardson potential, highlighting differences from the MIT bag model due to momentum-dependent interactions.

Contribution

It introduces a confining model with Richardson potential for strange quark matter in magnetic fields, comparing its predictions to the MIT bag model.

Findings

Magnetization shows pronounced de Haas-van Alfvén oscillations.

Differences mainly due to momentum dependence of quark interactions.

Confining model predicts distinct magnetic response compared to MIT bag model.

Abstract

We construct an equation of state of strange quark matter in strong magnetic field within a confining model. The confinement is modeled by means of the Richardson potential for quark-quark interaction modified suitably to account for strong magnetic field. We compare our results for the equation of state and magnetization of matter to those derived within the MIT bag model. The differences between these models arise mainly due to the momentum dependence of the strong interaction between quarks in the Richardson model. Specifically, we find that the magnetization of strange quark matter in this model has much more pronounced de Haas-van Alf\'{v}en oscillations than in the MIT bag model, which is the consequence of the (static) gluon-exchange structure of the confining potential.