The low-energy theorem of pion photoproduction using the Skyrme model

Tamio Ikehashi, Koichi Ohta

Research output: Contribution to journalArticle

Abstract

We reassess the validity of the current-algebra based low-energy theorem of pion photoproduction on the nucleon using the Skyrme model. We find that one of the off-shell electromagnetic form factors of the nucleon exhibits infrared divergence in the chiral limit. This contribution introduces an additional term to the threshold amplitude predicted by the low-energy theorem. The emergence of the additional term indicates an unavoidable necessity of off-shell form factors in deriving the low-energy theorem. In the case of neutral pion production, the new contribution to the threshold amplitude is found to be comparable in magnitude to the low-energy theorem's prediction and has the opposite sign. In the charged pion production channels, the correction to the theorem is shown to be relatively small.

Original languageEnglish
Pages (from-to)443-471
Number of pages29
JournalNuclear Physics, Section A
Volume592
Issue number4
DOIs
Publication statusPublished - 1995 Oct 2
Externally publishedYes

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photoproduction
pions
theorems
form factors
energy
current algebra
thresholds
divergence
electromagnetism
predictions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

The low-energy theorem of pion photoproduction using the Skyrme model. / Ikehashi, Tamio; Ohta, Koichi.

In: Nuclear Physics, Section A, Vol. 592, No. 4, 02.10.1995, p. 443-471.

Research output: Contribution to journalArticle

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