Parametric resonance in neutrino oscillation: A guide to control the effects of inhomogeneous matter density

Physics Letters B

Masako Saito¹  Masafumi Koike²  Joe Sato³  Toshihiko Ota³ 

[1] Faculty of Engineering, Utsunomiya University, 7-1-2 Yoto, Utsunomiya, Tochigi 321-8585, Japan;Graduate School of Engineering, Utsunomiya University, 7-1-2 Yoto, Utsunomiya, Tochigi 321-8585, Japan;Physics Department, Saitama University, 255 Shimo-Okubo, Sakura-ku, Saitama, Saitama 338-8570, Japan;

关键词: Neutrino oscillation;    Matter effect;    Parametric resonance;    Fourier analysis;   

DOI  :  10.1016/j.physletb.2016.05.083

来源: DOAJ

【 摘 要 】

Effects of the inhomogeneous matter density on the three-generation neutrino oscillation probability are analyzed. Realistic profile of the matter density is expanded into a Fourier series. Taking in the Fourier modes one by one, we demonstrate that each mode has its corresponding target energy. The high Fourier mode selectively modifies the oscillation probability of the low-energy region. This rule is well described by the parametric resonance between the neutrino oscillation and the matter effect. The Fourier analysis gives a simple guideline to systematically control the uncertainty of the oscillation probability caused by the uncertain density of matter. Precise analysis of the oscillation probability down to the low-energy region requires accurate evaluation of the Fourier coefficients of the matter density up to the corresponding high modes.

【 授权许可】

Unknown