  The superconducting state around a well isolated nonmagnetic impurity in the
high-Tc superconductors is studied using the two-dimensional t-J model. The
spatial dependence of the order parameter and the local density of states are
obtained from the numerical diagonalization of the Bogoliubov-de Gennes
equation derived using the Gutzwiller approximation. We find a zero-energy peak
in the local density of states around the impurity. Different from the previous
results on a vortex or surfaces in the t-J model, the splitting of zero-energy
peak is not found. The zero-energy states corresponding to the zero-energy peak
is approximately localized around the impurity.
