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

Destruction of attractive bosonic cloud due to high spatial coherence in tight trap