We predict the presence and positions of purely-long-range bound states of
4He(2s3S)+4He(2p3P) near the 2s3S1+2p3P0,1 atomic
limits. The results of the full multichannel and approximate models are
compared, and we assess the sensitivity of the bound states to atomic
parameters characterizing the potentials. Photoassociation to these
purely-long-range molecular bound states may improve the knowledge of the
scattering length associated with the collisions of two ultracold
spin-polarized 4He(2s3S) atoms, which is important for studies of
Bose-Einstein condensates.Comment: 16 pages, 5 figure