Electromagnetic mass splittings of {pi}, a{sub 1}, K, K{sub 1}(1400), and K{sup * }(892)
- Center for Fundamental Physics, University of Science and Technology of China, Hefei, Anhui 230026, People`s Republic of (China)
- Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
- Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People`s Republic of (China)
To one-loop order and O({alpha}{sub EM}), the electromagnetic mass splittings of {pi}, a{sub 1}, K, K{sub 1}(1400), and K{sup *}(892) are calculated in the framework of U(3){sub L}{times}U(3){sub R} chiral field theory. The logarithmic divergences emerging in the Feynman integrations of the mesonic loops are factorized by using an intrinsic parameter g of this theory. No other additional parameters or counterterms are introduced to absorb the mesonic loop divergences. When f{sub {pi}}, m{sub {rho}}, and m{sub a} are taken as inputs, the parameter g will be determined and all the physical results are finite and fixed. Dashen`s theorem is satisfied in the chiral SU(3) limit of this theory and a rather large violation of the theorem is revealed at the order of m{sub s} or m{sub K}{sup 2}. Mass ratios of light quarks have been determined. A relation for electromagnetic corrections to masses of axial-vector mesons is obtained. It could be regarded as a generalization of Dashen`s theorem. Comparing with data, it is found that the nonelectromagnetic mass difference of K{sup *} is in agreement with the estimation of Schechter, Subbaraman, and Weigel. {copyright} {ital 1997} {ital The American Physical Society}
- DOE Contract Number:
- FC02-91ER75661
- OSTI ID:
- 664532
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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