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arXiv 0803.0036nucl-thhep-ph
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μ子在~ 3 He上的俘获与核子的弱结构

Muon Capture on 3He and the Weak Structure of the Nucleon

Doron Gazit

摘要:

利用弱俘获过程$^3He(μ^{-},ν_μ)^3{H}$的微观计算,对核子的弱形状因子,包括诱导赝标形状因子和第二类项进行了约束。计算是无参数的,并且产生1499(16)Hz的速率,与显著的实验测量1496(4)Hz一致。用EIHH方法,在Argonne V_(18)核子-核子势和Urbana-IX三核子力的作用下,得到了核的波函数。用HB $χ$ PT形式描述核中的弱电流。发现诱导的赝标量形状因子与HB $χ$ PT预测一致。该结果与消失的第二类电流兼容,具有迄今为止对矢量电流守恒(CVC)假设的最严格约束。

英文摘要:

The weak form factors of the nucleon, including the induced pseudoscalar form factor and second class terms, are constrained using a microscopic calculation of the weak capture process $^3He(μ^{-},ν_μ)^3{H}$. The calculation is parameter free, and yields a rate of 1499(16) Hz, in agreement with the remarkable experimental measurement 1496(4) Hz. The nuclear wave functions are obtained using the EIHH method with the Argonne V18 nucleon--nucleon potential and the Urbana-IX three nucleon force. The weak currents in the nuclei are described using HB$χ$PT formalism. The induced pseudoscalar form factor is found to agree with HB$χ$PT prediction. The result is compatible with vanishing second class currents, with the tightest constraint to date on the conservation of vector current (CVC) hypothesis.

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