AI 中文总结
本文通过复合系统不变质量中的二重积分表示,非微扰计算了pi和rho介子电磁形状因子在大动量转移下的渐近行为,并验证了其与微扰QCD预测的一致性。
AI 中文摘要
我们在大类空动量转移Q^2->\infty下,获得了pi介子和rho介子电磁形状因子的非微扰渐近展开。该计算基于复合系统不变质量中的二重积分表示。模型参数保持在作者先前描述介子电弱性质时所固定的值。我们表明,在组分夸克质量趋于零且组分夸克被视为点粒子的极限下,螺旋度基中纵向极化rho介子与pi介子形状因子的渐近比,在所采用的参数范围内与微扰QCD(pQCD)的预测一致。
英文摘要
We obtain nonperturbative asymptotic expansions of the electromagnetic form factors of the pi and rho mesons at large spacelike momentum transfer, Q^2->\infty. The calculation is based on a double integral representation in the invariant masses of the composite system. The model parameters are kept at the values fixed in the authors' earlier description of meson electroweak properties. We show that, in the limit of vanishing constituent-quark mass, with the constituent quarks taken to be pointlike, the asymptotic ratio of the longitudinally polarized rho-meson to pion form factors in the helicity basis is consistent with the prediction of perturbative QCD (pQCD) within the adopted parameter ranges.
Comments11 pages, 1 figure, revtex