Pion photoproduction amplitude relations in the 1/N<inf>c</inf> expansion

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

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We derive expressions for pion photoproduction amplitudes in the 1/N <inf>c</inf> 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<inf>c</inf> 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<inf>c</inf>) or O(1/N<inf>c</inf><sup>2</sup>) is impressive.

Original languageEnglish (US)
Article number076010
Pages (from-to)1-12
Number of pages12
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number7
DOIs
StatePublished - Apr 1 2005

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Order Relation
photoproduction
pions
expansion
Linear Relation
multipoles
quantum chromodynamics
electromagnetism
Energy
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Pion photoproduction amplitude relations in the 1/N<inf>c</inf> expansion. / Cohen, Thomas D.; Dakin, Daniel C.; Lebed, Richard; Martin, Daniel R.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 71, No. 7, 076010, 01.04.2005, p. 1-12.

Research output: Contribution to journalArticle

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