R = 2
Clear[x, y]
r = (Sqrt[(x^2) + (y^2)])
A = (Sqrt[(1/π)]) (E^(-r))
\(B = \@\(1\/π\)\ E\^\(\(-\@\(\((x - R)\)\^2 + y\^2\)\)\(
\)\)\)
\(Plot3D[A + B, {x, \(-2\), 4}, {y, \(-2\), 2}, 
      PlotPoints -> 31]
\)