Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Véronique Bernard; Norbert Kaiser; Ulf G. Meissner

doi:10.1103/PhysRevD.48.3062

Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Véronique Bernard
, Norbert Kaiser
, Ulf G. Meissner

School Office of the TUM School of Natural Sciences

Centre de Recherches Nucléaires
University of Bern

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.

Original language	English
Pages (from-to)	3062-3069
Number of pages	8
Journal	Physical Review D
Volume	48
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.48.3062
State	Published - 1993

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title = "Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule",

abstract = "We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.",

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AU - Kaiser, Norbert

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N2 - We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.

AB - We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher-order contributions arising from Δ(1232) intermediate states and relativistic corrections. We also discuss the limitations of our approach.

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DO - 10.1103/PhysRevD.48.3062

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JO - Physical Review D

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Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Abstract

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