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Radial excitation of light mesons and the <math><mrow><mi>γ</mi><msup><mrow><mi>γ</mi></mrow><mrow><mo>*</mo></mrow></msup><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> transition form factor

Authors :
Cao, F.G.
Source :
Physical Review
Publication Year :
2021
Publisher :
APS, 2021.

Abstract

We investigate radial excitation of the quark-antiquark pair in the π0 meson and its effects on the γγ*→π0 transition form factor in the framework of light cone perturbative QCD. The existing constraints on the light cone wave function of the lowest Fock state |qq&#175;⟩ in the π0 meson allow a sizeable radial excitation of the quark-antiquark pair. We construct the light cone wave function for the quark-antiquark pair in the first radially excited state (the 2S state) using a simple harmonic oscillator potential. The distribution amplitude obtained for the 2S state has two nodes in x at low scale of Q and thereby has a much strong scale dependence than the 1S state. Contributions from this radial excitation to the γγ*→π0 transition form factor exhibit different Q2-dependence behavior from the ground state and thus can modify the prediction for the transition form factor in the medium-large region of Q2.

Details

Language :
English
Database :
OpenAIRE
Journal :
Physical Review
Accession number :
edsair.od......3000..c616b3222ee2d02b10ecf8832cbfe176