Universal relaxation times for electron and nucleon gases

TL;DR

This paper derives universal relaxation times for electron and nucleon gases, linking fundamental constants to relaxation dynamics, and introduces a thermal Proca equation for fermionic gases.

Contribution

It introduces a universal formula for relaxation times of fermionic gases and formulates a corresponding thermal Proca equation, connecting relaxation dynamics with fundamental constants.

Findings

Universal relaxation time for nucleon gas: tau = h/m * alpha(1) * c

Universal relaxation time for electron gas: tau = h/m * alpha(2) * c

Formulation of a thermal Proca equation for fermionic gases

Abstract

In this paper we calculate the universal relaxation times for electron and nucleon fermionic gases. We argue that the universal relaxation time tau(i) is equal tau(i)=h/m square v(i) where v(i)=alpha(i)c and alpha(1)=0.15 for nucleon gas and alpha(2)=1/137 for electron gas, c=light velocity. With the universal relaxation time we formulate the thermal Proca equation for fermionic gases. Key words: universal relaxation time, thermal universal Proca equation.