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We study the gamma-ray emissions from an outer-magnetospheric potential gaparound a rotating neutron star. Migratory electrons and positrons areaccelerated by the electric field in the gap to radiate copious gamma-rays viacurvature process. Some of these gamma-rays materialize as pairs by collidingwith the X-rays in the gap, leading to a pair production cascade. Imposing theclosure condition that a single pair produces one pair in the gap on average,we explicitly solve the strength of the acceleration field and demonstrate howthe peak energy and the luminosity of the curvature-radiated, GeV photonsdepend on the strength of the surface blackbody and the power-law emissions.Some predictions on the GeV emission from twelve rotation-powered pulsars arepresented. We further demonstrate that the expected pulsed TeV fluxes areconsistent with their observational upper limits. An implication of high-energypulse phase width versus pulsar age, spin, and magnetic moment is discussed.Comment: Revised to compute absolute TeV spectra (22 pages, 9 figures

Gamma‐Ray Emissions from Pulsars: Spectra of the TeV Fluxes from Outer Gap Accelerators