Dirac membrane and hadrons

TL;DR

This paper compares the product of mass and radius for nucleons and Dirac membranes, revealing a significant difference in their respective values, which may have implications for understanding hadronic structures.

Contribution

It demonstrates that the mass-radius product for Dirac membranes differs from that of nucleons and shows their products coincide at a different value.

Findings

Nucleons have a mass-radius product of about 4.7ħ.

Dirac membranes have a mass-radius product of 1.6ħ.

The products for Dirac membranes are consistent for both neutral and charged cases.

Abstract

In c=1 units the product (mass x radius) for the neutron and the proton is about 4.7\hbar assuming their radii equal to 1fm. We show that the corresponding products for the Dirac neutral and charged membrane coincide and are equal 1.6\hbar.