Electron fraction in stellar matter
ID: electron-fraction-in-stellar-matter
For electrically neutral, fully ionized stellar matter with electrons and Positrons as its charged leptons, the electron fraction in stellar matter is the net electron number per baryon:Here is the number density of nuclear species , its atomic number, its mass number, and the total baryon number density. Charge neutrality equates the net negative lepton charge to the total proton charge. The subtraction of Positrons matters in hot matter containing abundant thermally produced Positrons; ordinary electron number alone need not equal nuclear charge.[ref]
Electron fraction constraints based on nuclear statistical equilibrium with beta equilibrium by A. Arcones and others. Section 2, net electron density definition before equation 6 and charge/baryon constraints in equations 7–8
Neglecting small nuclear mass defect corrections, isotope mass fractions give . Pure fully ionized helium-4 therefore has . Strong interactions and electromagnetic reactions preserve this proton fraction, whereas electron capture and beta-plus decay reduce it and beta-minus decay can increase it. The total proton-to-neutron number ratio is ; electron-positron pair production changes neither of those baryon counts. If other charged leptons such as muons are appreciably populated, their charge must also be included in the neutrality equation.
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