Exact solutions for matter-enhanced neutrino oscillations

Journal Article · Wed Jul 01 00:00:00 EDT 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.58.013001· OSTI ID:636203

Balantekin, A B ^[1]

---

1. Department of Physics, University of Wisconsin, Madison, Wisconsin 53706 (United States)

The analogy between supersymmetric quantum mechanics and matter-enhanced neutrino oscillations is exploited to obtain exact solutions for a class of electron density profiles. This integrability condition is analogous to shape invariance in supersymmetric quantum mechanics. This method seems to be the most direct way to obtain the exact survival probabilities for a number of density profiles of interest, such as linear and exponential density profiles. The resulting neutrino amplitudes can also be utilized as comparison amplitudes for the uniform semiclassical treatment of neutrino propagation in arbitrary electron density profiles. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 636203
• Journal Information: Physical Review, D, Vol. 58, Issue 1; Other Information: PBD: Jul 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
NEUTRINO OSCILLATION
SUPERSYMMETRY
QUANTUM MECHANICS
ELECTRON DENSITY
PROBABILITY
SEMICLASSICAL APPROXIMATION
COSMIC RAY PROPAGATION
AMPLITUDES
NEUTRINOS