This is the info from BOL article "Select the Databases to Move or Copy" about your question:
"Full-Text Catalogs
When you move or copy databases that contain full-text catalogs, full-text functionality is stopped, and then must be manually restored. The Microsoft Search service manages full-text catalogs and runs in the database to provide this service. Full-text search is stopped by the Copy Database Wizard so databases can be placed into single-user mode, a requirement for a move or copy operation.
If you want to copy a database with full-text catalogs, full-text catalogs for the database are unavailable at the source server after the copy operation has been completed. You must manually repopulate full-text catalogs on the destination server.
If you want to move a database with full-text catalogs, none of the associated full-text catalog files are moved when the database is moved. These files must be moved manually by the database administrator." AL Almeida
NT/DB Admin
"May all those that come behind us, find us faithfull"