Pion photoproduction amplitude relations in the 1/Nc expansion

Thomas D. Cohen; Daniel C. Dakin; Richard Lebed; Daniel R. Martin

doi:10.1103/PhysRevD.71.076010

Pion photoproduction amplitude relations in the 1/N_c expansion

Thomas D. Cohen, Daniel C. Dakin, Richard Lebed, Daniel R. Martin

Physics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We derive expressions for pion photoproduction amplitudes in the 1/N _c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/N_c compare favorably with available data, while the next-to-leading-order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/N_c) or O(1/N_c²) is impressive.

Original language	English (US)
Article number	076010
Pages (from-to)	1-12
Number of pages	12
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	71
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.71.076010
State	Published - Apr 1 2005

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.71.076010

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title = "Pion photoproduction amplitude relations in the 1/Nc expansion",

abstract = "We derive expressions for pion photoproduction amplitudes in the 1/N c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/Nc compare favorably with available data, while the next-to-leading-order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/Nc) or O(1/Nc2) is impressive.",

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AU - Cohen, Thomas D.

AU - Dakin, Daniel C.

AU - Lebed, Richard

AU - Martin, Daniel R.

PY - 2005/4/1

Y1 - 2005/4/1

N2 - We derive expressions for pion photoproduction amplitudes in the 1/N c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/Nc compare favorably with available data, while the next-to-leading-order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/Nc) or O(1/Nc2) is impressive.

AB - We derive expressions for pion photoproduction amplitudes in the 1/N c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/Nc compare favorably with available data, while the next-to-leading-order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/Nc) or O(1/Nc2) is impressive.

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Pion photoproduction amplitude relations in the 1/N_c expansion

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