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Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates

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arxiv 1006.2936 v3 pith:S6HPRAG3 submitted 2010-06-15 hep-ph

Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates

classification hep-ph
keywords distributionpionamplitudeendpointrangerulesamplitudescondensates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Starting from the QCD sum rules with nonlocal condensates for the pion distribution amplitude, we derive another sum rule for its derivative and its "integral" derivatives---defined in this work. We use this new sum rule to analyze the fine details of the pion distribution amplitude in the endpoint region $x\sim 0$. The results for endpoint-suppressed and flat-top (or flat-like) pion distribution amplitudes are compared with those we obtained with differential sum rules by employing two different models for the distribution of vacuum-quark virtualities. We determine the range of values of the derivatives of the pion distribution amplitude and show that endpoint-suppressed distribution amplitudes lie within this range, while those with endpoint enhancement---flat-type or CZ-like---yield values outside this range.

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