  The Schr\"odinger equation with attractive delta potential has been
previously studied in the supersymmetric quantum mechanical approach by a
number of authors, but they all used only the particular superpotential
solution. Here, we introduce a one-parameter family of strictly isospectral
attractive delta function potentials, which is based on the general
superpotential (general Riccati) solution, we study the problem in some detail
and suggest possible applications
