The decay pi{sup 0} {yields} gamma gamma to next to leading order in Chiral Perturbation Theory

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The pi{sup 0} {yields} gamma gamma decay width is analyzed within the combined framework of Chiral Perturbation Theory and the 1/N{sub c} expansion up to order(p{sup 6}) and order(p{sup 4} x 1/N{sub c}) in the decay amplitude. The eta' is explicitly included in the analysis. It is found that the decay width is enhanced by about 4% due to the isospin-breaking induced mixing of the pure U(3) states. This effect, which is of leading order in the low energy expansion, is shown to persist nearly unchanged at next to leading order. The chief prediction Gamma{sub pi}0{sub {yields}gamma gamma} = 8.10 ... continued below

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Goity, J.L.; Bernstein, A.M.; Donoghue, J.F. & Holstein, B.R. May 1, 2002.

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The pi{sup 0} {yields} gamma gamma decay width is analyzed within the combined framework of Chiral Perturbation Theory and the 1/N{sub c} expansion up to order(p{sup 6}) and order(p{sup 4} x 1/N{sub c}) in the decay amplitude. The eta' is explicitly included in the analysis. It is found that the decay width is enhanced by about 4% due to the isospin-breaking induced mixing of the pure U(3) states. This effect, which is of leading order in the low energy expansion, is shown to persist nearly unchanged at next to leading order. The chief prediction Gamma{sub pi}0{sub {yields}gamma gamma} = 8.10 eV is estimated to have an uncertainty of less than 1%. Observations on the eta and eta' can also be made, especially about their mixing, which is shown to be significantly affected by next to leading order corrections.

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837 Kilobytes pages

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  • Report No.: JLAB-THY-02-15
  • Report No.: DOE/ER/40150-2062
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 793668
  • Archival Resource Key: ark:/67531/metadc742407

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  • May 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • Feb. 5, 2016, 7:58 p.m.

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Goity, J.L.; Bernstein, A.M.; Donoghue, J.F. & Holstein, B.R. The decay pi{sup 0} {yields} gamma gamma to next to leading order in Chiral Perturbation Theory, article, May 1, 2002; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc742407/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.