The relation between the luminosity and the spin-period change in X-ray binary pulsars reflects the manner of mass accretion onto the magnetized neutron stars, and thus provides us information on the neutron-star physical parameters related to the mass, radius, and the surface magnetic field. To observationally study the relation, we analyzed X-ray light curves obtained by the MAXI all-sky survey and pulse-period data taken by the Fermi Gamma-ray Burst Monitor pulsar project, both continuously cover 7 years since 2009 August. In all of the 12 Be binary pulsars which exhibited significant outbursts in these 7 years, the luminosities and the spin-frequency derivatives were found to follow positive correlations close to the proportionality, as expected by major disk-magnetosphere interaction models. The coefficient of the proportionality agrees, within a factor of 3, with the prediction by the Ghosh & Lamb (1979) when assuming a typical mass and radius, and employing the surface magnetic field measured with the cyclotron resonance. I will also introduce recent results about Swift J0243.6+6124, a new Be binary pulsar with the peak luminosity of ~2x10^39 erg s^-1, suggesting that the source is the first Galactic ultraluminous X-ray pulsar.