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arXiv 1603.04598hep-ph
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全协变组分夸克模型中的π介子广义部分子分布

Pion Generalized Parton Distributions within a fully covariant constituent quark model

C. Fanelli, E. Pace, G. Romanelli, G. Salme', M. Salmistraro

摘要:

我们在两个方面扩展了对全协变组分夸克模型中带电π介子的广义部分子分布的研究:(i)计算张量分布和(ii)增加演化的处理,这是为了与实验部分子分布和所谓的广义形状因子的晶格评价进行有意义的比较。我们的唯象协变夸克模型的独特之处在于:(1)一个4D的π介子Bethe-Salpeter振幅的Anterior,用于相关电流算符的矩阵元的Mandelivery公式,和(ii)只有两个参数,即夸克质量假设持有$m_q=~220$ MeV和一个通过π介子衰变常数的值固定的自由参数。在Bethe-Salpeter振幅的Nakanishi积分表示的背景下,简要讨论了增加我们的协变组分夸克模型的动力学内容的可能性。

英文摘要:

We extend the investigation of the Generalized Parton Distribution for a charged pion within a fully covariant constituent quark model, in two respects: (i) calculating the tensor distribution and (ii) adding the treatment of the evolution, needed for achieving a meaningful comparison with both the experimental parton distribution and the lattice evaluation of the so-called generalized form factors. Distinct features of our phenomenological covariant quark model are: (i) a 4D Ansatz for the pion Bethe-Salpeter amplitude, to be used in the Mandelstam formula for matrix elements of the relevant current operators, and (ii) only two parameters, namely a quark mass assumed to hold $m_q=~220$ MeV and a free parameter fixed through the value of the pion decay constant. The possibility of increasing the dynamical content of our covariant constituent quark model is briefly discussed in the context of the Nakanishi integral representation of the Bethe-Salpeter amplitude.

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