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We have studied ultraviolet images of 40 Green Pea galaxies and 15 localLyman Break Galaxy Analogs to understand the relation between Ly$\alpha$ photonescape and central UV photometric properties. We measured star formationintensity (SFI, star formation rate per unit area) from the central 250 pcregion ($S_{\rm 250pc}$) using COS/NUV images from the \textit{Hubble SpaceTelescope}. The measured $S_{\rm 250pc}$ of our sample Green Peas ranges from2.3--46 $M_{\odot} \ \rm{year}^{-1} \ \rm{kpc^{-2}}$, with a geometric mean of$15 M_{\odot} \ \rm{year}^{-1} \ \rm{kpc^{-2}}$ and a standard deviation of0.266 dex, forming a relatively narrow distribution. The Lyman Break GalaxyAnalogs show a similarly narrow distribution of $S_{\rm 250pc}$ (0.271 dex),though with a larger mean of 28 $M_{\odot} \ \rm{year}^{-1} \ \rm{kpc^{-2}}$.We show that while the Ly$\alpha$ equivalent width (EW(Ly$\alpha$)) and theLy$\alpha$ escape fraction ($f^{Ly\alpha}_{esc}$) are not significantlycorrelated with the central SFI ($S_{\rm 250pc}$), both are positivelycorrelated with the ratio of surface brightness to galaxy stellar mass ($S_{\rm250pc}/M_{\rm star}$), with correlation coefficients ($p$-values) of 0.702($1\times 10^{-8}$) and 0.529 ($5\times 10^{-4}$) with EW(Ly$\alpha$) and$f^{Ly\alpha}_{esc}$, respectively. These correlations suggest a scenario whereintense central star formation can drive a galactic wind in galaxies withrelatively shallow gravitational potential wells, thus clearing channels forthe escape of Ly$\alpha$ photons.

The Importance Of Star Formation Intensity In LY{\alpha} Escape From Green Pea Galaxies And Lyman Break Galaxy Analogs