Threshold pion photoproduction in chiral perturbation theory

Véronique Bernard; Norbert Kaiser; Ulf G. Meißner

doi:10.1016/0550-3213(92)90085-P

Threshold pion photoproduction in chiral perturbation theory

Véronique Bernard, Norbert Kaiser, Ulf G. Meißner

School Office of the TUM School of Natural Sciences

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Abstract

We analyze threshold pion photoproduction in the framework of baryon chiral perturbation theory. In case of neutral pion photoproduction, virtual pions generate infrared singularities which modify the familiar form of the low-energy theorem for the electric dipole amplitude E₀₊. In particular, we predict E₀₊^π⁰p(s_th)=-(1.33 ±0.09)×^-3/M_π+. We also find a satisfactory description of the recently measured total cross section for γp→π⁰p in the threshold region. The process γn→π⁰n is entirely given by the loop and counterterm contributions. It would be interesting to have an experimental determination of the corresponding cross section in the threshold region. In case of the charged channels, the loop corrections are much more tame.

Original language	English
Pages (from-to)	442-496
Number of pages	55
Journal	Nuclear Physics, Section B
Volume	383
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90085-P
State	Published - 28 Sep 1992

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

abstract = "We analyze threshold pion photoproduction in the framework of baryon chiral perturbation theory. In case of neutral pion photoproduction, virtual pions generate infrared singularities which modify the familiar form of the low-energy theorem for the electric dipole amplitude E0+. In particular, we predict E0+π0p(sth)=-(1.33 ±0.09)×-3/Mπ+. We also find a satisfactory description of the recently measured total cross section for γp→π0p in the threshold region. The process γn→π0n is entirely given by the loop and counterterm contributions. It would be interesting to have an experimental determination of the corresponding cross section in the threshold region. In case of the charged channels, the loop corrections are much more tame.",

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

note = "Funding Information: * Work supported in part by Deutsche Forschungsgemeinschaft and by Schweizerischer Nationalfonds. Heisenberg Fellow.",

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T1 - Threshold pion photoproduction in chiral perturbation theory

AU - Bernard, Véronique

AU - Kaiser, Norbert

AU - Meißner, Ulf G.

N1 - Funding Information: * Work supported in part by Deutsche Forschungsgemeinschaft and by Schweizerischer Nationalfonds. Heisenberg Fellow.

PY - 1992/9/28

Y1 - 1992/9/28

N2 - We analyze threshold pion photoproduction in the framework of baryon chiral perturbation theory. In case of neutral pion photoproduction, virtual pions generate infrared singularities which modify the familiar form of the low-energy theorem for the electric dipole amplitude E0+. In particular, we predict E0+π0p(sth)=-(1.33 ±0.09)×-3/Mπ+. We also find a satisfactory description of the recently measured total cross section for γp→π0p in the threshold region. The process γn→π0n is entirely given by the loop and counterterm contributions. It would be interesting to have an experimental determination of the corresponding cross section in the threshold region. In case of the charged channels, the loop corrections are much more tame.

AB - We analyze threshold pion photoproduction in the framework of baryon chiral perturbation theory. In case of neutral pion photoproduction, virtual pions generate infrared singularities which modify the familiar form of the low-energy theorem for the electric dipole amplitude E0+. In particular, we predict E0+π0p(sth)=-(1.33 ±0.09)×-3/Mπ+. We also find a satisfactory description of the recently measured total cross section for γp→π0p in the threshold region. The process γn→π0n is entirely given by the loop and counterterm contributions. It would be interesting to have an experimental determination of the corresponding cross section in the threshold region. In case of the charged channels, the loop corrections are much more tame.

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U2 - 10.1016/0550-3213(92)90085-P

DO - 10.1016/0550-3213(92)90085-P

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VL - 383

SP - 442

EP - 496

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Threshold pion photoproduction in chiral perturbation theory

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