Compton scattering by the proton using a large-acceptance arrangement

S. Wolf; V. Lisin; R. Kondratiev; A.M. Massone; G. Galler; J. Ahrens; H.-J. Arends; R. Beck; M. Camen; G.P. Capitani; P. Grabmayr; F. Härter; T. Hehl; P. Jennewein; K. Kossert; A.I. L'vov; C. Molinari; P. Ottonello; R.O. Owens; J. Peise; I. Preobrajenskij; S. Proff; A. Robbiano; M. Sanzone; M. Schumacher; M. Schmitz; F. Wissmann

doi:doi:10.1007/s100500170031

2022 Impact factor 2.7

Hadrons and Nuclei

Eur. Phys. J. A 12, 231-252 (2001)

Compton scattering by the proton using a large-acceptance arrangement

S. Wolf¹, V. Lisin², R. Kondratiev², A.M. Massone³, G. Galler¹, J. Ahrens⁴, H.-J. Arends⁴, R. Beck⁴, M. Camen¹, G.P. Capitani⁵, P. Grabmayr⁶, F. Härter⁴, T. Hehl⁶, P. Jennewein⁴, K. Kossert¹, A.I. L'vov⁷, C. Molinari³, P. Ottonello³, R.O. Owens⁸, J. Peise⁴, I. Preobrajenskij⁴, S. Proff¹, A. Robbiano³, M. Sanzone³, M. Schumacher¹, M. Schmitz⁴ and F. Wissmann¹

¹ Zweites Physikalisches Institut, Universität Göttingen, D-37073 Göttingen, Germany
² Institute for Nuclear Research, Moscow 117312, Russia
³ Dipartimento di Fisica dell'Università di Genova and INFN - Sezione di Genova, I-16146 Genova, Italy
⁴ Institut für Kernphysik, Universität Mainz, D-55099 Mainz, Germany
⁵ INFN - Laboratori Nazionali di Frascati, I-00044 Frascati, Italy
⁶ Physikalisches Institut, Universität Tübingen, D-72076 Tübingen, Germany
⁷ P. N. Lebedev Physical Institute, Moscow 117924, Russia
⁸ Kelvin Laboratory, Glasgow University, Glasgow, Scotland, G12 8QQ, UK

schumacher@physik2.uni-goettingen.de

(Received: 26 July 2001 / Revised version: 11 October 2001 Communicated by Th. Walcher)

Abstract
Compton scattering by the proton has been measured over a wide range covering photon energies $250 \mathrm{MeV} \lesssim E_\gamma \lesssim 800 \mathrm{MeV}$ and photon scattering angles $30^\circ \lesssim \theta^\mathrm{lab}_\gamma \lesssim 150^\circ$ , using the tagged-photon facility at MAMI (Mainz) and the large-acceptance arrangement LARA. The previously existing data base on proton Compton scattering is greatly enlarged by more than 700 new data points. The new data are interpreted in terms of dispersion theory based on the SAID-SM99K parametrization of photo-meson amplitudes. It is found that two-pion exchange in the t-channel is needed for a description of the data in the second resonance region. The data are well represented if this channel is modeled by a single pole with the mass parameter $m_\sigma \approx$ 600 MeV. The asymptotic part of the spin-dependent amplitude is found to be well represented by $\pi^0$ exchange in the t-channel. No indications of additional effects were found. Using the mass parameter $m_\sigma$ of the two-pion exchange determined from the second resonance region and using the new global average for the difference of the electric and magnetic polarizabilities of the proton, $\alpha - \beta = \left(10.5 \pm 0.9_\mathrm{stat+syst}\pm 0.7_\mathrm{model} \right) \times 10^{-4} \mathrm{fm}^3$ , as obtained from a recent experiment on proton Compton scattering below pion photoproduction threshold, a backward spin polarizability of $\gamma_{\pi} = \left( - 37.1 \pm 0.6_\mathrm{stat+syst} \pm 3.0_\mathrm{model} \right) \times 10^{-4} \mathrm{fm}^4$ has been determined from data of the first resonance region below 455 MeV. This value is in a good agreement with predictions of dispersion relations and chiral perturbation theory. From a subset of data between 280 and 360 MeV, the resonance pion photoproduction amplitudes were evaluated leading to a E2/M1 multipole ratio of the $p \to \Delta$ radiative transition of EMR(340 MeV) = $(-1.7 \pm 0.4_{\rm stat+syst}\pm 0.2_{\rm model})$ % . It was found that this number is dependent on the parameterization of photo-meson amplitudes. With the MAID2K parameterization, an E2/M1 multipole ratio of EMR(340 MeV) = $(-2.0 \pm 0.4_{\rm stat+syst}\pm 0.2_{\rm model})$ % is obtained.