By using the Nambu-Gorkov transformation, the relativistic BCS-BEC crossover thermodynamics in the Fermi-Bose system is discussed, and the exited energy spectrum nearing the critical point is also found. The energy gap equation, in the case of T ≤ Tc and T ≈ Tc, is also derived. The results show that the zero mass quasipar-ticles may condense in the critical temperature.%利用Nambu-Gorkov表示,讨论了在相对论Fermi-Bose系统中的BCS-BEC渡越条件及其热力学性质,得到了临界点附近费米子的激发能谱.给出了临界温度附近和低于临界温度区域的能隙表达式.理论计算结果表明,渡越区在临界温度附近存在着零质量准粒子的激发.
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