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arXiv 1109.5563nucl-th
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手征有效场论预言μ子在氘和~ 3 He上的俘获

Chiral effective field theory predictions for muon capture on deuteron and 3He

L. E. Marcucci, A. Kievsky, S. Rosati, R. Schiavilla, M. Viviani

摘要:

用手征有效场论导出的核强相互作用势和电荷变化弱流研究了μ子俘获反应2 H(μ ^-,ν μ)nn和3 He(μ^-,ν μ)3 H.在三核子势和(c_D)轴矢量流中的低能常数(LEC)c_D和c_E被限制为再现A=3的结合能和triton Gamow-Teller矩阵元。矢量弱电流通过守恒矢量电流约束与电磁流的等矢量分量相关,并且进入后者中的接触项的两个LEC被约束为再现A=3的磁矩。氘核和3 He上的μ子俘获率预计分别为399(3)sec^{-1}和1494(21)sec^{-1},其中的扩散解释了截止灵敏度以及LEC和电弱辐射修正中的不确定性。通过比较计算和精确测量的3 He的速率,诱导的赝标形状因子的值得到与手征微扰理论预测的很好的协议。

英文摘要:

The muon-capture reactions 2H(μ^-,ν_μ)nn and 3He(μ^-,ν_μ)3H are studied with nuclear strong-interaction potentials and charge-changing weak currents, derived in chiral effective field theory. The low-energy constants (LEC's) c_D and c_E, present in the three-nucleon potential and (c_D) axial-vector current, are constrained to reproduce the A=3 binding energies and the triton Gamow-Teller matrix element. The vector weak current is related to the isovector component of the electromagnetic current via the conserved-vector-current constraint, and the two LEC's entering the contact terms in the latter are constrained to reproduce the A=3 magnetic moments. The muon capture rates on deuteron and 3He are predicted to be 399(3) sec^{-1} and 1494 (21) sec^{-1}, respectively, where the spread accounts for the cutoff sensitivity as well as uncertainties in the LEC's and electroweak radiative corrections. By comparing the calculated and precisely measured rates on 3He, a value for the induced pseudoscalar form factor is obtained in good agreement with the chiral perturbation theory prediction.

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