The quantum bound states around the JBD straight cosmic string

The existence of bound state solution to Klein-Gordon and Dirac equations under the JBD Straight Cosmic String background is investigated. The authors prove the existence of such bound states, and point out that the number of which might be infinite. The location and spectrum of bound states of lower energy are calculated. The nearest bound state to string of meson is located within the region 10-13 cm. For electron, the nearest one is located at 10-7 cm, with orbit velocity 10-4c. The discovery of quantum bound states mentioned might provide a new mechanism for the observation of the cosmic string