On the low-energy theorems for threshold pion electroproduction

Véronique Bernard; Norbert Kaiser; Ulf G. Meißner

doi:10.1016/0370-2693(92)90667-S

On the low-energy theorems for threshold pion electroproduction

Véronique Bernard, Norbert Kaiser, Ulf G. Meißner

School Office of the TUM School of Natural Sciences

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27 Scopus citations

Abstract

We consider pion electroproduction at threshold to one loop order in chiral perturbation theory. We derive novel contributions to the low-energy theorems for the S-wave multipoles E₀₊ and L₀₊ at threshold to order O(μ², v) with μ=M_π/m the ratio of the pion and nucleon mass and v=k²/m² related to the four-momentum of the virtual photon. At next-to-leading order, the effect of infrared singularities generated by virtual pions becomes visible. We also discuss the inclusion of photon-nucleon vertex form factors.

Original language	English
Pages (from-to)	448-452
Number of pages	5
Journal	Physics Letters B
Volume	282
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)90667-S
State	Published - 28 May 1992

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@article{c90944aa10824af69054471c68aa0ece,

title = "On the low-energy theorems for threshold pion electroproduction",

abstract = "We consider pion electroproduction at threshold to one loop order in chiral perturbation theory. We derive novel contributions to the low-energy theorems for the S-wave multipoles E0+ and L0+ at threshold to order O(μ2, v) with μ=Mπ/m the ratio of the pion and nucleon mass and v=k2/m2 related to the four-momentum of the virtual photon. At next-to-leading order, the effect of infrared singularities generated by virtual pions becomes visible. We also discuss the inclusion of photon-nucleon vertex form factors.",

author = "V{\'e}ronique Bernard and Norbert Kaiser and Mei{\ss}ner, \{Ulf G.\}",

note = "Funding Information: ¢r Work supported in part by Deutsche Forschungsgemeinschaft under contract no. Me 864/2-2 and by Schweizerischer Nationalfonds. Heisenberg Fellow.",

year = "1992",

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doi = "10.1016/0370-2693(92)90667-S",

language = "English",

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journal = "Physics Letters B",

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T1 - On the low-energy theorems for threshold pion electroproduction

AU - Bernard, Véronique

AU - Kaiser, Norbert

AU - Meißner, Ulf G.

N1 - Funding Information: ¢r Work supported in part by Deutsche Forschungsgemeinschaft under contract no. Me 864/2-2 and by Schweizerischer Nationalfonds. Heisenberg Fellow.

PY - 1992/5/28

Y1 - 1992/5/28

N2 - We consider pion electroproduction at threshold to one loop order in chiral perturbation theory. We derive novel contributions to the low-energy theorems for the S-wave multipoles E0+ and L0+ at threshold to order O(μ2, v) with μ=Mπ/m the ratio of the pion and nucleon mass and v=k2/m2 related to the four-momentum of the virtual photon. At next-to-leading order, the effect of infrared singularities generated by virtual pions becomes visible. We also discuss the inclusion of photon-nucleon vertex form factors.

AB - We consider pion electroproduction at threshold to one loop order in chiral perturbation theory. We derive novel contributions to the low-energy theorems for the S-wave multipoles E0+ and L0+ at threshold to order O(μ2, v) with μ=Mπ/m the ratio of the pion and nucleon mass and v=k2/m2 related to the four-momentum of the virtual photon. At next-to-leading order, the effect of infrared singularities generated by virtual pions becomes visible. We also discuss the inclusion of photon-nucleon vertex form factors.

UR - https://www.scopus.com/pages/publications/0000289938

U2 - 10.1016/0370-2693(92)90667-S

DO - 10.1016/0370-2693(92)90667-S

M3 - Article

AN - SCOPUS:0000289938

SN - 0370-2693

VL - 282

SP - 448

EP - 452

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

On the low-energy theorems for threshold pion electroproduction

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