  We discuss the compatibility between the quark-shell picture and the
meson-nucleon scattering picture in large $N_c$ QCD for mixed symmetric $\ell$
= 1 states previously analyzed by using a simple Hamiltonian including
operators up to order $\mathcal{O}(N^0_c)$ defined in the standard ground state
symmetric core + excited quark procedure. Here we introduce a Hamiltonian of
order $\mathcal{O}(N^0_c)$ defined in a new approach where the separation of
the system into two parts is not required. Three degenerate sets of states
(towers) with the same quantum numbers as in the scattering picture and in the
standard procedure are obtained. Thus the 0 is equally achieved. The
eigenvalues of the presently chosen Hamiltonian also have simple analytic
expressions, depending linearly on the three dynamical coefficients entering
the Hamiltonian. This reinforces the validity of the new approach which had
already 0 described excited negative parity baryons in a large energy range.
