  We calculate the rotational-vibrational spectrum in the BPS Skyrme model for
the hedgehog skyrmion with baryon number one. The resulting excitation energies
for the nucleon and delta Roper resonances are slightly above their
experimental values. Together with the fact that in the standard Skyrme model
these excitation energies are significantly lower than the experimental ones,
this provides strong evidence for the conjecture that the inclusion of the BPS
Skyrme model is necessary for a successful quantitative description of physical
properties of baryons and nuclei.
