Radius and magnetic field from Synchrotron-self-absorbed radio and Inverse Compton X-ray observations of Supernovae

TL;DR

This paper derives simple, observable-based formulas to determine the radius and magnetic field of supernova blastwaves interacting with dense circumstellar material, using synchrotron-self-absorbed radio and inverse Compton X-ray data.

Contribution

It introduces first-principles expressions for radius and magnetic field estimation from observable quantities in supernova observations.

Findings

Formulas relate observable radio and X-ray data to physical parameters.

Applicable to early supernova blastwave analysis.

Facilitates understanding of supernova circumstellar interactions.

Abstract

Simple expressions for the radius and magnetic field of a system emitting Synchrotron-self-absorbed radio and Inverse Compton X-rays are derived from first principles which involve observable quantities only. These expressions are useful for analyzing observations of Supernova blastwaves interacting with dense circumstellar material at early times.