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- W3196957049 abstract "We obtain the distribution amplitude (DA) of the pion from its light-front wave functions in the basis light-front quantization framework. This light-front wave function of the pion is given by the lowest eigenvector of a light-front effective Hamiltonian consisting a three-dimensional confinement potential and the color-singlet Nambu--Jona-Lasinion interaction both between the constituent quark and antiquark. The quantum chromodynamics (QCD) evolution of the DA is subsequently given by the perturbative Efremov-Radyushkin-Brodsky-Lepage evolution equation. Based on this DA, we then evaluate the singly and doubly virtual transition form factors in the space-like region for $pi^0rightarrow gamma^*gamma$ and $pi^0rightarrow gamma^*gamma^*$ processes using the hard-scattering formalism. Our prediction for the pion-photon transition form factor agrees well with data reported by the Belle Collaboration. However, in the large $Q^2$ region it deviates from the rapid growth reported by the BaBar Collaboration. Meanwhile, our result on the $pi^0rightarrow gamma^*gamma^*$ transition form factor is also consistent with other theoretical approaches and agrees with the scaling behavior predicted by perturbative QCD." @default.
- W3196957049 created "2021-09-13" @default.
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- W3196957049 date "2021-09-06" @default.
- W3196957049 modified "2023-09-27" @default.
- W3196957049 title "Pion to photon transition form factors with basis light-front quantization" @default.
- W3196957049 hasPublicationYear "2021" @default.
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