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arXiv 1012.0030hep-ph
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重子-介子跃迁分布振幅及其谱表示

Baryon to meson transition distribution amplitudes and their spectral representation

Bernard Pire, Kirill Semenov-Tian-Shansky, Lech Szymanowski

摘要:

本文研究了核子-介子跃迁分布振幅(TDA)谱表示的构造问题,TDA是核子-介子态间非定域三夸克光锥算符的非对角矩阵元。我们引入了四重分布的概念,并推广了Radyshkin的因子分析。重子到介子TDAs在其定义的完整域中的建模为定量估计各种硬排他反应的截面开辟了道路。

英文摘要:

We consider the problem of construction of a spectral representation for nucleon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of nonlocal three quark light-cone operators between a nucleon and a meson states. We introduce the notion of quadruple distributions and generalize Radyshkin's factorized Ansatz for this issue. Modelling of baryon to meson TDAs in the complete domain of their definition opens the way to quantitative estimates of cross-sections for various hard exclusive reactions.

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