Influence of section correction factor on the decay thermonuclear reactions and heating in the Earth interior

The heat source of the Earth's core remains a challenging and intriguing problem in astrophysics. This paper first examines the Earth's heat ux arising from radiogenic heating due to the decay of isotopes such as 26 Al, 60 Fe, 23 8U, 235 U, 232 Th and 40 K. We then propose two magnetic monopole (MM) models to address the Earth's heating problem, based on MM-catalyzed nuclear decay while accounting for the inuence of the cross-section correction factor on the reaction rates.We calculate the number of captured magnetic monopoles and the resulting luminosity, and we discuss the upper limits on the MM ux derived from experimentally measured heat uxes. Our results indicate that 26 Al and 60 Fe likely played a critical role during the earliest stages of planetary evolution, whereas the radiogenic energy from the decay of 238 U, 235 U, 232 Th and 40 K is insufficient to account for the molten state of the Earth's core. The estimated number of MMs captured by the Earth is 9:5234 × 10 18 , and 1:4128 × 10 20 for models (I) and (II), respectively. Furthermore, we find that the inclusion of the cross-section correction factor significantly enhances the luminosity due to catalyzed thermonuclear reactions in the Earth's iron core. The resulting luminosities for the Earth are estimated to be 7:5279 ~ 9:2462 TW, and 31:644 ~ 49:204 TW for models (I) and (II), respectively. By accounting for the inuence of the correction factor on the decay cross section, the luminosities computed for our Model (II) are in good agreement with the recently estimated terrestrial heat ow of 38 ~ 49 TW from the Earth's surface. Our findings indicate that monopole-catalyzed proton decay may represent a mechanism capable of inhibiting the cooling process of the Earth.