Abstract
In this paper, the superconductor with the competition of superconducting gap and pseudogap in the below crossover temperature region is calculated. The superconducting gap and pseudogap is assumed to arise from independent and competing correlation. The critical temperature, superconducting gap and the specific heat jump are derived in the analytic form and the approximation is used to simplify the equations obtained for the region that crossover temperature and energy of pseudogap are higher than critical temperature. We find that the critical temperature is decreased as the energy of pseudogap and crossover temperature as increased. The superconductor with pseudogap has small specific heat jump in comparison with the BCS value. Increasing the crossover temperature and critical temperature, the specific heat jump is decreased.
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