  The paper continues previous works which study the behavior of second
correlation function of characteristic polynomials of the special case of
$n\times n$ one-dimensional Gaussian Hermitian random band matrices, when the
covariance of the elements is determined by the matrix
$J=(-W^2\triangle+1)^{-1}$. Applying the transfer matrix approach, we study the
case when the bandwidth $W$ is proportional to the threshold $\sqrt{n}$
