Improved Light Cone Model calculation of strangeness asymmetry in the proton

We expect strangeness in the proton from the Heisenberg uncertainty principle, which allows for the proton to split into a meson and a baryon, such as a K and a $\Lambda$. Our goal is to accurately model the momentum distributions of the strange quarks and anti-strange quarks in the proton. We choose the Light Cone Model because it is a natural explanation for strangeness and for $s(x)$ $\neq$ $\bar{s}(x)$. In the Light Cone Model of Cao and Signal [1], $\alpha$ is a single parameter in the meson-baryon fluctuation functions $f(y)$ and in the $s$ and $\bar{s}$ distributions of the mesons and baryons. These functions are exponentials in which $\alpha$ is related to the spatial extent of the particles. Because the $s$ and $\bar{s}$ are in different environments, we explore an array of values for $\alpha$ which reflect the sizes of the particles and study this effect on our model. We compare our results to global pdfs and experimental data from NuTeV, HERMES and ATLAS.\\[4pt] [1] F. Cao, and A.I. Signal, Phys. Rev. D. 60, 074021, 1999