In a recent Comment, Perali, Pieri, and Strinati [Phys. Rev. B 68, 066501 (2003)] came forward with a correction to the work of Soares et al. [Phys. Rev. B 65, 174506 (2002)], in the sense that they correctly found no nonpairing region in the density vs coupling diagram of the two-dimensional attractive Hubbard model for a d-wave symmetry for the order parameter. But, the BCS-Bose-Einstein crossover diagram also changes, a point missed by Perali, Pieri, and Strinati in their Comment. Furthermore, they use an analytical treatment of the gap equation to find the order parameter as C function of interaction strength, namely, $\Delta /4t$ vs $V/4t.\mathrm{}$ We point out that this treatment is not completely correct for the evaluation of the chemical potential, $\mu /4t$ vs $V/4t,$ when we include the Debye frequency, ${\omega }_D/4t,$ and their cutoff frequency, ${\omega }_o.$ As a consequence, the phase diagram, namely, n vs $V/4t,$ strongly depends on the value of ${\omega }_D/4t,$ i.e., for small values of ${\omega }_D/4t$ the phase diagram moves to higher values of $V/4t.\mathrm{}$

• Received 29 April 2003

DOI:https://doi.org/10.1103/PhysRevB.68.066502