  We present a polar-cap model which incorporates a likely acceleration of
Sturrock pairs with their subsequent contribution to gamma-ray luminosity
L_gamma. This model reproduces L_gamma for seven pulsars detected with Compton
Gamma Ray Observatory experiments, avoiding at the same time the problem of the
empirical gamma-ray death line of Arons (1996).
  Also, we estimate the efficiency of reversing newly created positrons by
residual longitudinal electric field. Over the wide range of spin-down
luminosity values the predicted polar-cap X-ray luminosity L_X(pc) goes as
L_sd^{0.6}. Model calculations for B0823+26, B0950+08, B1929+10, and J0437-4715
are compared with existing observational constraints on thermal X-ray
components.
