Pairing symmetry analyzed by a peak shape of density of states in an Bi2Sr2CaCu2O8＋x superconductor

For an inhomogeneous superconductor, we reveal a relation of an observed superconducting gap, $\Delta$$_{obs}$ and the intrinsic true gap, $\Delta$$_{i}$, $\Delta$$_{obs}$(equation omitted) where band filling, 0＜$\rho$<$\leq$1. $\Delta$$_{obs}$ is the effect of measurement when 0＜$\rho$＜1. The true gap is observed only when $\rho$=1. Parring symmetry analyzed by a coherence-peak shape of density of states, observed in B $i_2$S $r_2$CaC $u_2$ $O_{8}$＋$\chi$ superconductors, is s- wave.X> $O_{8}$＋$\chi$ superconductors, is s- wave. wave.