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- W2883993748 abstract "We present a new and simple method to prove the Flores-Tuli'an and Reisenegger (FR) relation between the net reaction rate and the total neutrino emissivity for Urca processes in the neutron, proton, and electron matter case in neutron star cores on the basis of the recursion relation of Fermi integral and its extension, these recursion relations are essential and applicable to both the direct and the modified Urca processes regardless of the nucleons being superfluid or not. Our analysis show that these relations instead of the FR relation are valid for all possible Urca processes (including electron capture and ${ensuremath{beta}}^{ensuremath{-}}$ decay processes) in neutron star crusts. We apply these recursion relations to calculate the fraction of chemical energy converted to heat the crust during the deviated crust Urca processes and the nonequilibrium electron capture process, this method is simple and the result is well consistent with previous work. Moreover, these recursion relations are valid for the one-way neutrino process, based on this, we calculate the average energy of neutrinos for electron capture and ${ensuremath{beta}}^{ensuremath{-}}$ decay in crust Urca processes during different chemical departure value cases." @default.
- W2883993748 created "2018-08-03" @default.
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- W2883993748 date "2018-07-24" @default.
- W2883993748 modified "2023-09-24" @default.
- W2883993748 title "Recursion relations connecting the net reaction rate with the total emissivity of neutrinos in nonequilibrium β processes" @default.
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- W2883993748 doi "https://doi.org/10.1103/physrevc.98.015801" @default.
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