Semblance study of force-field and convection-diffusion solutions with observations of solar magnetic phenomena

Abstract

We propose a quantitative model using the semblance method to evaluate differences in transport equation solutions and Local Interstellar Spectra (LIS) for Cosmic Ray (CR) modulation. The semblance method quantitatively compares transport solutions convection-diffusion and force field-and LIS, providing insights into CR behavior. By integrating these solutions into the atmospheric yield function (Caballero-Lopez & Moraal 2012), the model identifies a correlation between the modulation factor and sunspots, and an anti-correlation with the mean magnetic field. The force field solution shows stronger semblance values, aligning better with neutron detector data. Among LIS, models by Lagner, Potgieter & Webber (2003), and Ghelfi et al. (2017) are most consistent, while the Garcia-Munoz et al. (1975) LIS reveals notable variations. This study underscores the semblance method as a critical tool for comparing CR modulation models, advancing predictive models of cosmic ray behavior influenced by solar and interstellar conditions.