Using a Psychoanima on an enemy in Promyvion will cause the enemy to become intimdated for the duration of the effect. This will prevent the enemy from using any normal attacks. Special attacks may still occur while Psychoanima is in effect. If you are able to use Psychoanima before the NM triggers a physical attack skill (such as Carousel), the damage that would have caused will be avoided.
With the level caps removed from the Promyvion areas these items have become all but useless. At one time they fetched 6k-8k each and now they've dropped to 2k.
IDK if anyone's thought of this, but there's about 40 total of all 3 recollections on the AH on Garuda Server. So; go to Ru'Lude Gardens, buy one of each, synth them, sell them. Repeat for all of them. Now you just made a 3K profit each! (The recollections cost 4K; 9K-(4K+2K)=3K profit. Now multiply that out across all the recollections and you just made 120K in less than an hour!