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The influence of a tight isotropic harmonic trap on photoassociation of twoultracold alkali atoms forming a homonuclear diatomic is investigated usingrealistic atomic interaction potentials. Confinement of the initial atom pairdue to the trap leads to a uniform strong enhancement of the photoassociationrate to most, but also to a strongly suppressed rate for some final states.Thus tighter traps do not necessarily enhance the photoassociation rate. Afurther massive enhancement of the rate is found for strong interatomicinteraction potentials. The details of this interaction play a minor role,except for large repulsive interactions for which a sharp window occurs in thephotoassociation spectrum as is known from the trap-free case. A comparisonwith simplified models describing the atomic interaction like thepseudopotential approximation shows that they often provide reasonableestimates for the trap-induced enhancement of the photoassociation rate even ifthe predicted rates can be completely erroneous.Comment: 19 pages, 17 figure

Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali-metal gases