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arXiv 1801.01458hep-ph
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瞬时形式相对论量子力学中ρ介子的磁矩

Magnetic moment of the rho meson in instant-form relativistic quantum mechanics

A. F. Krutov, R. G. Polezhaev, V. E. Troitsky

摘要:

在相对论组分-夸克模型中,我们导出了ρ介子磁偶极矩μ_ρ的解析表达式。我们采用我们对复合系统的相对论方法,修改的瞬时形式(mIF)相对论量子力学(RQM),我们特别使用它来构建统一的pi&rho模型(Phys. Rev. D93,036007(2016)= arXiv:1602.00907),描述轻介子的电弱性质。该模型提供了一个无参数的计算,得到μ_ρ =(2.16+-0.03)[e/2 M_ρ],与常规实验数据一致。磁,四极和电荷形状因子也推导和提出。我们认为我们的磁矩值的小的不确定性是该方法的突出优点之一。与最近的格点量子色动力学的结果和以前的各种方法的计算进行了比较。

英文摘要:

We derive an explicit analytical expression for the magnetic dipole moment of the rho meson, mu_rho, in a relativistic constituent-quark model. We adopt our relativistic approach to composite systems, modified instant-form (mIF) Relativistic Quantum Mechanics (RQM), that we used particularly to construct a unified pi&rho model (Phys. Rev. D93, 036007 (2016) = arXiv:1602.00907) describing electroweak properties of light mesons. This model provides a parameter-free calculation to give mu_rho=(2.16+-0.03) [e/2M_rho] which is in accordance with the conventional experimental data. The magnetic, quadrupole and charge form factors also are derived and presented. We consider the small uncertainty of our value of magnetic moment as one of undoubted advantages of the method. A comparison is made with recent lattice QCD results and previous calculations using a variety of methods.

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