Esteemed fellow GMs!
How do you go about your player characters learning new psychic powers? I mean, they just fulfill the prerequisites, pay the XP and immediately may use the newly learned power? Is it something which is just there in the psyker's head and in a tense situation comes to the fore and from that point onward she can employ it? Or does the PC have to read weighty tomes, meditate, and/or consult a mentor between game sessions?
I just ask because usually my players earn enough XP in 1 to 2 sessions to learn a new power and then of course they want to make use of it immediately. But usually we are right in a running investigation or even a fight which started last session and there is no time to go to "HQ" or some save place to read books or talk to other psykers.
Also, are the psychic trees as represented in the core rule book, actually a thing in game? So are the "sanctioned", well-known powers really that well-organized in the WH40K-universe and written down in some kind of AAT-manuals or does a psyker have to somehow "find" a new power by visiting forbidden lore libraries, astropaths or even witches?
I'm all ears.