The Sharks Are Coming

A convolution plot of $v^2_{min}$,

$v^2_{min}=tanh(2(x-x_z))\cfrac { sinh^{ 2 }(x-x_z) }{ 2ln^{ 2 }(cosh(x-x_z)) }$


with a Gaussian distribution of mean, $\mu=1$ and spread $\sigma=0.25$

$v^2_{min}$,

and the result of convolution,

when inverted,

where the valid region is over the extend of $v^2_{min}$ between lines $a$ and $b$.

This is the distribution of energy, $KE$ of a population of particle confined in another particle excited by a non zero $\psi_c$.

Another flat top.