And that answer is that in general, no, they don't.
Do the Police Really Use Psychics?
"Nickell published several articles in Psychic Sleuths to the effect that while most police officers or departments take psychic information under consideration, they do not actively seek out such help at least not under official channels.� Under anonymity, several people have indicated to this author (Ramsland) that psychics have been brought into cases despite prohibitions against it.
Practical Homicide Investigation
Vernon J. Geberth, author of Practical Homicide Investigation, devotes five pages to how police officers can (and do) work with psychics, but Barry Fisher, in Techniques of Crime Investigation, equally as renowned to law enforcement, ignores the entire issue.
Geberth admits that it's controversial to work with psychics and that police officers are naturally skeptical of their claims, but he presents the results of his research on several psychics, including Noreen Renier (whom Gary Posner approaches with a skeptical eye in Nickell's Psychic Sleuths).� He claims that if the technique has proven successful at all, it should be considered again.� Calling a psychic a person who is "extra sensitive to nonphysical forces of life energy" (without explaining what that is), Geberth accepts Renier's rendition that this means "getting rid of logic and rationale."� Without any basis in science, Geberth says that psychics have learned to "control a portion of the brain which is not generally used."
Then he proceeds to offer guidelines to agencies that are considering calling on a psychic:
•the psychic's performance will be tested by results
•the psychic will have a distinct method of operation
•the psychic should be considered as an aid in developing clues
•the police should provide all follow-up to information offered
•since there are no scientific guidelines, the police must determine whether the psychic's claims are legitimate or worth pursuing
•officers who cannot accept a psychic's work should not get involved, as their attitudes can block the psychic's effectiveness
•the psychic should offer information not available to the public in publicized reports, as a way to prove his or her special insight
•all conversations with the psychic should be taped."---
http://www.crimelibrary.com/criminal_mind/forensics/psychics/11.html