About seventy levels up to E(x) = 15 MeV in Ca-40 have been studied vi
a the (Li-6, d) reaction at E = 50 MeV. The members of the K(pi) = 0-
band of a counterpart to the first K(pi) = 0+ band in the parity doubl
et bands were observed, in some fragments, from the 1- state at 8 MeV
to the 7- state at 12.65 MeV in excitation energy. The J(pi) = 8+ stat
e was found at 10.34 MeV, and the 6.93 MeV level was confirmed as a J(
pi) = 6+ state. These states are considered as the members of the K(pi
) = 0+ band starting from the 0+ state at E(x) = 3.35 MeV. The 0+, 2+,
4+ and 6+ members of a higher nodal K(pi) = 0+ band with N = 14 were
observed for the first time in the fp-shell nuclei. This band consists
of the strongly populated states in an excitation energy region from
the 0+ state at 11 MeV to the 6+ state at 15 MeV. The spectroscopic fa
ctors suggested the much stronger alpha-cluster character.