  We study coherence of a trapped bosonic cloud with attractive finite-range
interaction in a tight harmonic trap. One-body density and pair-distribution
function in the ground state for different trap sizes are calculated. We also
calculate healing length and the correlation length which signify the presence
of high spatial coherence in a very tight trap leading to the destruction of
the condensate for a fixed particle number. This is in marked variance with the
usual collapse of the attractive metastable condensate when N > Ncr . Thus we
investigate the critical frequency and critical size of the trap for the
existence of attractive Bose-Einstein condensation. The finite-range
interaction gives a nonlocal effect in the effective many-body potential, and
we observe a high-density stable branch besides the known metastable branch.
Moreover, the new branch shows universal behavior even in the very tight trap.
