Testing Spallation Effects and Elemental Fitting in The Loaded Layer-Cake Model for Cosmic Ray Interactions Around Supergiant Stars

The Loaded Layer-Cake Model explains cosmic ray spectra by incorporating time-dependent spallation and diffusion processes, influenced by temporary electric fields generated by variable electric currents in winds and jets. It addresses the AMS data for primary (He, C, O, Fe) and secondary (Li, Be, B, ³He) cosmic rays, focusing on interactions within wind shock shells of red and blue supergiant stars and surrounding OB-Superbubble regions. The model predicts that the secondary-to-primary ratio varies with rigidity, showing a local slope of -1/3 in the interaction zone due to Kolmogorov turbulence, and -5/3 in the bubble zone due to the irregular magnetic wave-fields excited by electric discharges. These processes are controlled by the fit coefficients a and b, which correspond to diffusion and spallation time scale ratio (τ_diff /τ_spal) in each zone. We will present fitting results for primary (He, C, O, Fe) and secondary (Li, Be, B, ³He) cosmic rays and discuss their implications on spallation loss and gain. We also address current challenges with the Loaded Layer-Cake Model and outline steps for future improvements.