Using the perturbation expansion in the rebonding interaction near the
surface molecule limit, a new diagram technique for the Anderson mode
l is proposed. The expression for the self-energy in the second order
in the rebonding interaction is obtained. Approximate expressions for
the self-energy beyond the second order are suggested. The quasipartic
le spectrum for the finite-chain model is calculated and compared with
the exact results and others in the literature.