In order to obtain information about the levels of even spin and parity of
8
Be at energies above 11 MeV, the differential cross-section for the α-particle-helium elastic scattering has been measured at a series of beam energies from 23·1 to 38·4 MeV, for many c.m.s. angles between 30 and 90°. Phase shifts up to
L
= 8 have been calculated for each energy. Combining these results with previous figures for lower energies, the phase shifts δ
0
, δ
2
and δ
4
are thus known as functions of incident energy from 0·15 MeV to 38·4 MeV. The behaviour of the phase shift δ
4
confirms the existence of a previously suggested level with
I
= 4 at an excitation energy of about 11·4 MeV in
8
Be. The phase shifts δ
6
and δ
8
are small, as expected if the rotational series of levels in
8
Be term inates with
I
= 4.
Scattering of Alpha-particles by a Vibrational Nucleus
