Threshold pion electroproduction in chiral perturbation theory

V. Bernard; N. Kaiser; T. S.H. Lee; Ulf G. Meißner

doi:10.1016/0370-1573(94)90088-4

Threshold pion electroproduction in chiral perturbation theory

V. Bernard, N. Kaiser, T. S.H. Lee, Ulf G. Meißner

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Abstract

Electroproduction of pions on the nucleon near the threshold is analyzed within the framework of baryon chiral perturbation theory. We give a thorough discussion of the low-energy theorems related to charged and neutral electropionproduction. It is shown how the axial radius of the nucleon can be related to the S-wave multipoles E₀₊^(-) and L₀₊^(-). The chiral perturbation theory calculations of the γ^{{black star}}p → π⁰p reaction are found to be in good agreement with the recent near threshold data. We also discuss the influence of some isospin-breaking effects in this channel. For future experimental tests of the underlying chiral dynamics, extensive predictions of differential cross sections and multipole amplitudes are presented.

Original language	English
Pages (from-to)	315-363
Number of pages	49
Journal	Physics Reports
Volume	246
Issue number	6
DOIs	https://doi.org/10.1016/0370-1573(94)90088-4
State	Published - Oct 1994

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10.1016/0370-1573(94)90088-4

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@article{196ef23b714449d4958f363c9a669fef,

title = "Threshold pion electroproduction in chiral perturbation theory",

abstract = "Electroproduction of pions on the nucleon near the threshold is analyzed within the framework of baryon chiral perturbation theory. We give a thorough discussion of the low-energy theorems related to charged and neutral electropionproduction. It is shown how the axial radius of the nucleon can be related to the S-wave multipoles E0+(-) and L0+(-). The chiral perturbation theory calculations of the γ{black star}p → π0p reaction are found to be in good agreement with the recent near threshold data. We also discuss the influence of some isospin-breaking effects in this channel. For future experimental tests of the underlying chiral dynamics, extensive predictions of differential cross sections and multipole amplitudes are presented.",

author = "V. Bernard and N. Kaiser and Lee, {T. S.H.} and Mei{\ss}ner, {Ulf G.}",

note = "Funding Information: * Work supported in part by Deutsche Forschungsgemeinschaft under contract no. Me 864/2-2 and by Schweizerischer Funding Information: We are grateful to JUrg Gasser for some very constructive comments to improve the manuscript in various aspects. We thank Nimai Mukhopadhyay for some helpful remarks and Aron Bernstein as well as Thomas Walcher for asking many difficult questions. This work is partially supported by the U.S. Department of Energy, Nuclear Physics Division, under contract W-31-109-EN0-38.",

year = "1994",

month = oct,

doi = "10.1016/0370-1573(94)90088-4",

language = "English",

volume = "246",

pages = "315--363",

journal = "Physics Reports",

issn = "0370-1573",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Threshold pion electroproduction in chiral perturbation theory

AU - Bernard, V.

AU - Kaiser, N.

AU - Lee, T. S.H.

AU - Meißner, Ulf G.

N1 - Funding Information: * Work supported in part by Deutsche Forschungsgemeinschaft under contract no. Me 864/2-2 and by Schweizerischer Funding Information: We are grateful to JUrg Gasser for some very constructive comments to improve the manuscript in various aspects. We thank Nimai Mukhopadhyay for some helpful remarks and Aron Bernstein as well as Thomas Walcher for asking many difficult questions. This work is partially supported by the U.S. Department of Energy, Nuclear Physics Division, under contract W-31-109-EN0-38.

PY - 1994/10

Y1 - 1994/10

N2 - Electroproduction of pions on the nucleon near the threshold is analyzed within the framework of baryon chiral perturbation theory. We give a thorough discussion of the low-energy theorems related to charged and neutral electropionproduction. It is shown how the axial radius of the nucleon can be related to the S-wave multipoles E0+(-) and L0+(-). The chiral perturbation theory calculations of the γ{black star}p → π0p reaction are found to be in good agreement with the recent near threshold data. We also discuss the influence of some isospin-breaking effects in this channel. For future experimental tests of the underlying chiral dynamics, extensive predictions of differential cross sections and multipole amplitudes are presented.

AB - Electroproduction of pions on the nucleon near the threshold is analyzed within the framework of baryon chiral perturbation theory. We give a thorough discussion of the low-energy theorems related to charged and neutral electropionproduction. It is shown how the axial radius of the nucleon can be related to the S-wave multipoles E0+(-) and L0+(-). The chiral perturbation theory calculations of the γ{black star}p → π0p reaction are found to be in good agreement with the recent near threshold data. We also discuss the influence of some isospin-breaking effects in this channel. For future experimental tests of the underlying chiral dynamics, extensive predictions of differential cross sections and multipole amplitudes are presented.

UR - http://www.scopus.com/inward/record.url?scp=11544360885&partnerID=8YFLogxK

U2 - 10.1016/0370-1573(94)90088-4

DO - 10.1016/0370-1573(94)90088-4

M3 - Review article

AN - SCOPUS:11544360885

SN - 0370-1573

VL - 246

SP - 315

EP - 363

JO - Physics Reports

JF - Physics Reports

IS - 6

ER -

Threshold pion electroproduction in chiral perturbation theory

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