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Oct 4, 2013, 1:38:47 PM (11 years ago)
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jkaspar
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v8

v9


3  3  Historically, there have been developed two approaches to calculate the effects of the interference between Coulomb and hadronic forces. Both are included in Elegent. 
4  4  
5   * The '''Feynmandiagram approach''' is best represented by the work of West Yennie [[http://link.aps.org/doi/10.1103/PhysRev.172.1413WEST, G. B. and YENNIE, D. R., Phys. Rev. 172 (1968) 14131422]]. In this publication there are two formulae derived: (full) WestYennie formula (denoted WY) and simplified WestYennie formula (denoted SWY). The latter was obtained in the approximation of purely exponential hadronic amplitude with constant phase. Therefore  strictly speaking  is not compatible with most of the phenomenological models. It is included in Elegent for reasons of comparison  the SWY formula has been used extensively (at least) until recently. 
 5  * The '''Feynmandiagram approach''' is best represented by the work of West Yennie [[http://link.aps.org/doi/10.1103/PhysRev.172.1413WEST, G. B. and YENNIE, D. R., Phys. Rev. 172 (1968) 14131422]]. In this publication there are two formulae derived: (full) WestYennie formula (denoted WY) and simplified WestYennie formula (denoted SWY). The latter was obtained in the approximation of purely exponential hadronic amplitude with constant phase. Therefore  strictly speaking  it is not compatible with most of the phenomenological models. It is included in Elegent for reasons of comparison  the SWY formula has been used extensively (at least) until recently. 
6  6  
7  7  * The '''eikonal approach''' has been pursued by many authors, most recently by Kundrát and Lokajíček [[http://link.springer.com/article/10.1007/BF01557628KUNDRÁT, V. and LOKAJÍČEK, M., Z. Phys. C63 (1994) 619630]]. In this framework, no explicit assumption on the form of the hadronic amplitude is made. The resulting interference formula is denoted KL. 