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arXiv astro-ph/9602012astro-phhep-phnucl-th
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太阳中微子通量的温度依赖性

The Temperature Dependence of Solar Neutrino Fluxes

John N. Bahcall, Andrew Ulmer

摘要:

通过比较中微子通量和中心温度从1000个详细的数值太阳模型计算,我们得到改进的标度律,显示每个中微子通量取决于中心温度(通量$\propto T^m$),我们还估计温度指数的不确定性。借助于太阳的单区模型,我们导出了中微子通量的温度指数的表达式。对于最重要的中微子通量,用单区模型计算的指数与从详细的数值模型中提取的指数在20%以内或更好。单区模型提供了一个物理上理解的中微子通量的温度依赖性。对于$pp$中微子通量,单区模型解释了(最初令人惊讶的)通量依赖于温度的负幂,并提出了一个新的功能依赖。这个新的函数明确了$^7$ Be和$pp$中微子通量之间的强反关联。单区模型还成功地预言了中微子通量之间的平均线性关系,但不能预言$Δϕ_i/ϕ_i$与$Δϕ_j/ϕ_j$图中的明显散射。

英文摘要:

By comparing neutrino fluxes and central temperatures calculated from 1000 detailed numerical solar models, we derive improved scaling laws which show how each of the neutrino fluxes depends upon the central temperature (flux $\propto T^m$); we also estimate uncertainties for the temperature exponents. With the aid of a one-zone model of the sun, we derive expressions for the temperature exponents of the neutrino fluxes. For the most important neutrino fluxes, the exponents calculated with the one-zone model agree to within 20\% or better with the exponents extracted from the detailed numerical models. The one-zone model provides a physical understanding of the temperature dependence of the neutrino fluxes. For the $pp$ neutrino flux, the one-zone model explains the (initially-surprising) dependence of the flux upon a negative power of the temperature and suggests a new functional dependence. This new function makes explicit the strong anti-correlation between the $^7$Be and $pp$ neutrino fluxes. The one-zone model also predicts successfully the average linear relations between neutrino fluxes, but cannot predict the appreciable scatter in a $Δϕ_i/ϕ_i$ versus $Δϕ_j/ϕ_j$ diagram.

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