Analysis of Solar Neutrino Data from Super-Kamiokande I and II

被引：14

作者：

Haubold, Hans J. ^{[1
,3
]}

Mathai, Arak M. ^{[2
,3
]}

Saxena, Ram K. ^{[4
]}

机构：

[1] Off Outer Space Affairs, A-400 Vienna, Austria

[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[3] Ctr Math Sci, Pala 686574, Kerala, India

[4] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur 342004, Rajasthan, India

来源：

ENTROPY | 2014年 / 16卷 / 03期

关键词：

solar neutrinos; Super-Kamiokande; data analysis; standard deviation; diffusion entropy; entropic pathway model; fractional reaction; fractional diffusion; thermonuclear functions; FRACTIONAL KINETIC-EQUATION; PATHWAY; FLUX; STATISTICS; FOURIER; DEEP;

D O I：

10.3390/e16031414

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We are going back to the roots of the original solar neutrino problem: the analysis of data from solar neutrino experiments. The application of standard deviation analysis (SDA) and diffusion entropy analysis (DEA) to the Super-Kamiokande I and II data reveals that they represent a non-Gaussian signal. The Hurst exponent is different from the scaling exponent of the probability density function, and both the Hurst exponent and scaling exponent of the probability density function of the Super-Kamiokande data deviate considerably from the value of 0.5, which indicates that the statistics of the underlying phenomenon is anomalous. To develop a road to the possible interpretation of this finding, we utilize Mathai's pathway model and consider fractional reaction and fractional diffusion as possible explanations of the non-Gaussian content of the Super-Kamiokande data.

引用

页码：1414 / 1425

页数：12

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