The Influence of Velocity-dependent Correction Factor on Proton Decay Reactions in Massive White Dwarfs

Abstract

25 typical super-massive white dwarfs (WDs) are selected and the proton decay reaction Catalyzed by magnetic monopoles (MMs) for WDs is discussed. The main highlights are given as follows. Firstly, by considering the effect of the temperature on cross section and the thermonuclear reaction and mass-radius relationship, we present two new the MMs models (I, II) to discuss the energy resources problem based on MMs catalytic nuclear decay (i.e.,RC effect). Secondly, we detailed calculate the the number of MMs captured by WDs and compare the luminosity with the observations. Finally, we discuss the effect of the correction factor on the cross section for the Rubakov process in model (II) and the differences of the WDs luminosities between the two models are shown. We find that a strong suppression control the monopole catalysis of nucleon decay. The maximum of the the number of MMs captured and the luminosity can be $2.235\times10^{21}$ , and $1.7859\times10^{32}\rm{ergs^{-1}}$, respectively (e.g., for O+Ne core mass WD J055631.17+130639.78). The luminosities for most of massive WDs are agreed well with the observations at relativistic low temperature (e.g., $T_6=0.1$), but can be three, and two orders magnitude higher than those of the observations for model (I), and (II) at relativistic high temperature (e.g., $T_6=10$), respectively. The luminosities for model (I) are about one order magnitude higher than those of model (II) in the same astrophysical environment. Due to consider the affect of the number of the MMs captured on the mass radius relationship and the suppression on the proton decay from the correction factor, the study in the model (II) may be an improving estimation.