Shaper width versus gas diffusion - comparison for STAR

Fisyak's Gamma function with normalization that sets the peak maximum to 1

Yuri's fit to pulser data for STAR TPC shaper gives the following parameters

Plot of Yuri's shaper function with his fit parameters to the pulser signal

Shaper width full width half max determined numerically

P10 drift velocity

Shaper width FWHM in z

Longitudinal diffusion constant for P10

diffusion sigma for 200 cm drift

diffusion width full width half max, perfectly matches the shaper width above.

Conclusion: The shaper width was set as intended