How Do You Calculate Particle Density in a Star Using Electron Energy?

tanaygupta2000
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Homework Statement
At what particle density does a completely degenerate electron gas in a star have enough kinetic energy per particle to permit the reaction
p + e + 0.8 MeV -----> n
where p, e and n are proton, electron and neutron respectively. What is the minimum density of the neutron star?
Relevant Equations
The relation between energy E and electron density n is given by :
E = (h^2)/8m (3n/π)^2/3
I am confused whether for electron I have to use rest mass energy (moc2 + 0.8 MeV) or just 0.8 Mev for calculating E.
Also how do I find minimum density of a neutron star using above data ? Please help !
 
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