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We consider scattering of spinless fermions by an inversion-symmetricinteracting model characterized by three parameters (interaction U, internalhopping t_d and coupling t_c). Mapping this spinless model onto an Andersonmodel with Zeeman field, we use thenumerical renormalization group for studyingthe particle-hole symmetric case. We show that the zero temperature limit ischaracterized by a line of free-fermion fixed points and a scale \tau(U,t_c) oft_d for which there is perfect transmission. The quantum conductance and thelow energy excitations of the model are given by universal functions oft_d/\tau if t_d < \Gamma and of t_d/t_c^2 if t_d > \Gamma, \Gamma = t_c^2 beingthe level width of the scatterer. This universal regime becomesnon-perturbative when U exceeds \Gamma.

NRG Study of an Inversion-Symmetric Interacting Model: Universal Aspects of its Quantum Conductance