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We investigated the pulsar radio luminosity ($L$), emission efficiency (ratioof radio luminosity to its spin-down power $\dot{E}$), and death line in thediagram of magnetic field (B) versus spin period (P), and found that thedependence of pulsar radio luminosity on its spin-down power ($L-\dot{E}$) isvery weak, shown as $L\sim\dot{E}^{0.06}$, which deduces an equivalent inversecorrelation between emission efficiency and spin-down power as $\xi\sim\dot{E}^{-0.94}$. Furthermore, we examined the distributions of radioluminosity of millisecond and normal pulsars, and found that, for the similarspin-down powers, the radio luminosity of millisecond pulsars is about oneorder of magnitude lower than that of the normal pulsars. The analysis ofpulsar radio flux suggests that this correlations are not due to a selectiveeffect, but are intrinsic to the pulsar radio emission physics. Their radioradiations may be dominated by the different radiation mechanisms. The cut-offphenomenon of currently observed radio pulsars in B-P diagram is usuallyreferred as the "pulsar death line", which corresponds to $\dot{E}\approx10^{30}$ erg/s and is obtained by the cut-off voltage of electron accelerationgap in the polar cap model of pulsar proposed by Ruderman and Sutherland.Observationally, this death line can be inferred by the actual observed pulsarflux $S\approx $1mJy and 1kpc distance, together with the maximum radioemission efficiency of 1\%. At present, the actual observed pulsar flux canreach 0.01mJy by FAST telescope, which will arise the observational limit ofspin-down power of pulsar as low as $\dot{E}\approx 10^28$ erg/s. This meansthat the new death line is downward shifted two orders of magnitude, whichmight be favorably referred as the "observational limit-line", and accordinglythe pulsar theoretical model for the cut-off voltage of gap should be heavilymodified.

Luminosity of radio pulsar and its new emission death line