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Title: Electromagnetic form factors of the pion and kaon from the instanton vacuum

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Yukawa Institute for Theoretical Physics (YITP), Kyoto University, Kyoto 606-8502 (Japan)
  2. Department of Physics, Inha University, Incheon 402-751 (Korea, Republic of)

We investigate the pion and kaon ({pi}{sup +}, K{sup +}, K{sup 0}) electromagnetic form factors in the spacelike region: Q{sup 2} < or approx. 1 GeV, based on the gauged low-energy effective chiral action from the instanton vacuum in the large N{sub c} limit. Explicit flavor SU(3) symmetry breaking is taken into account. The nonlocal contributions turn out to be crucial to reproduce the experimental data. While the pion electromagnetic form factor is in good agreement with the data, the kaon one seems underestimated. We also calculate the electromagnetic charge radii for the pion and kaon: <r{sup 2}>{sub {pi}{sup +}}=0.455 fm{sup 2}, <r{sup 2}>{sub K{sup +}}=0.534 fm{sup 2}, and <r{sup 2}>{sub K{sup 0}}=-0.060 fm{sup 2} without any adjustable free parameter except for the average instanton size and interinstanton distance, and they are compatible with the experimental data. The low-energy constant L{sub 9} in the large N{sub c} limit is estimated to be 8.42x10{sup -3} from the pion charge radius.

OSTI ID:
21250120
Journal Information:
Physical Review. D, Particles Fields, Vol. 77, Issue 9; Other Information: DOI: 10.1103/PhysRevD.77.094014; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English