Neutrino oscillation interference phase in Kerr space-time

• Published in: Chinese physics B Vol. 18; no. 12; pp. 5575 - 5582
• Main Author: 任军 贾孟文 袁常青
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2009
• Subjects: Angular momentum; Drag (hindrance); Geodesic lines; Interference; Mathematical analysis; Neutrinos; Oscillations; Planes; Rotating; Trajectories; 中微子振荡; 地线干扰; 旋转参数; 旋转校正; 相位时间
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/18/12/073

The mass neutrino interference phases along the null trajectory and the geodesic line in Kerr space-time are studied on the plane θ = π/2. Because of the rotation object in Kerr space-time, a particle travelling along the radial geodesic must have a dragging effect produced by the angular momentum of the central object. We give the correction of the phase due to the rotation of the space-time. We find that the type-I interference phase along the geodesic remains the double of that along the null on the condition that the rotating quantity parameter a^2 is preserved and the higher order terms are negligible （e.g. a^4）. In addition, we calculate the proper oscillation length in Kerr space-time. All of our results can return to those in Schwarzschild space-time as the rotating parameter a approaches zero.