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arXiv 0910.3604nucl-thhep-exhep-phnucl-ex
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π形状因子的非微扰相对论方法:对未来JLab实验的预测

Nonperturbative relativistic approach to pion form factor: predictions for future JLab experiments

A. F. Krutov, V. E. Troitsky, N. A. Tsirova

摘要:

对未来JLab实验中关于π介子形状因子F_pi(Q^2)的可能结果作了一些预测。计算利用了作者以前提出的方法,并基于瞬时形式的庞加莱不变的方法被认为是夸克-反夸克系统的π介子。很久以前,这个模型就以惊人的准确度预测了后来在JLab实验中测得的F_pi(Q^2)值。结果与波函数的形式几乎无关。π介子均方半径<r^2_pi>和衰变常数f_pi也与实验值一致。该模型给出了高动量转移时F_pi(Q^2)的类幂渐近行为,与QCD预言一致.

英文摘要:

Some predictions concerning possible results of the future JLab experiments on the pion form factor F_pi(Q^2) are made. The calculations exploit the method proposed previously by the authors and based on the instant-form Poincare invariant approach to pion considered as a quark-antiquark system. Long ago, this model has predicted with surprising accuracy the values of F_pi(Q^2) measured later in JLab experiment. The results are almost independent from the form of wave function. The pion mean square radius <r^2_pi> and the decay constant f_pi also agree with experimental values. The model gives power-like asymptotic behavior of F_pi(Q^2) at high momentum transfer in agreement with QCD predictions.

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