  The zero-range potentials of the radial Schrodinger equation are investigated
from a point of Darboux transformations scheme. The dressing procedure is
realized as a sequence of Darboux transformations in a way similar to that used
to obtain the generalized zero-range potentials of Huang-Derevianko by specific
choice of a family of parameters. In the present approach we stay within the
framework of conventional zero-range potential method whilst the potential
parameter (scattering length) is modified taken into account spectral molecular
properties. This allows to introduce molecular zero-range potential once the
corresponding discrete spectrum is known. The results are illustrated on
example of flat cyclic molecular structures, with particular focus on a benzene
molecule, which bounded states energies are first found using atomic zero-range
potentials, compared with the Huckel method, and then used to introduce single
zero-range potential describing the entire molecule. Reasonable scattering
behavior for newly introduced potential gives a possibility to tackle
many-molecule problems representing molecules as appropriate single zero-range
potentials.
