Tsutomu Niimi, if the connector broke of the logic board, there are only two solutions. One is to get another connector from an old logic board and have somebody knowledgeable with SMD components solder it on. The only other way is to replace the logic board. UPDATE

If the brown part is off the white part, you can try and replace the clip with an old one from a spare board. If the white one is off the board with the pins sticking out, you can try and slide the white plastic back over it and use some glue to glue the plastic onto the board. If the pins are bend or dislodged you will have to get a new one soldered onto the board.