The effect of doping with nonmagnetic Zn2+ ions on the spin-Peierls tr
ansition in pseudo-one-dimensional CuGeO3 has been studied by ESR inte
nsity and electron spin-lattice relaxation time measurements as functi
ons of temperature. The results show that impurity doping in Cu0.97Zn0
.03GeO3 reduces the magnetic energy gap much more than the spin Peierl
s transition temperature. Our results thus provide experimental suppor
t for recent theoretical predictions that a gapless spin-Peierls state
may take place in Zn+ doped CuGeO3 at intermediate doping levels in a
nalogy to gapless superconductivity.