Golden ratio prediction for solar neutrino mixing

Golden ratio prediction for solar neutrino mixing
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太阳中微子混合的黄金比例预测

DOI:
10.1088/1367-2630/11/6/063026
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发表时间:
2009
影响因子:
3.3
通讯作者:
W. Rodejohann
W. Rodejohann
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Adulpravitchai;A. Blum;W. Rodejohann

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最近有人推测太阳中微子混合角与黄金分割率φ有关。已经提出了两个这样的建议,cot θ12=φ和cos θ12=φ/2。我们比较这些ansätze和讨论模型导致cos θ12=φ/2的基础上的二面体群D10。这种对称性是一个自然的候选者,因为表达式cos θ12=φ/2中的角度只是π/5,或36°。这是十边形的外角,D10是它的旋转对称群。我们还估计了辐射校正的黄金分割率预测。
It has recently been speculated that the solar neutrino mixing angle is connected to the golden ratio φ. Two such proposals have been made, cot θ12=φ and cos θ12=φ/2. We compare these ansätze and discuss a model leading to cos θ12=φ/2 based on the dihedral group D10. This symmetry is a natural candidate because the angle in the expression cos θ12=φ/2 is simply π/5, or 36°. This is the exterior angle of a decagon and D10 is its rotational symmetry group. We also estimate radiative corrections to the golden ratio predictions.
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