Author: Richard Edwin Prange
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 13
Book Description
Dispersion Relations for Compton Scattering
Author: Richard Edwin Prange
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 13
Book Description
Publisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 13
Book Description
Application of Dispersion Relations to Proton Compton Scattering
Author: Jon Mathews
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 136
Book Description
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 136
Book Description
Dispersion Relations in Real and Virtual Compton Scattering
Dispersion Relations in Real and Virtual Compton Scattering
The application of dispersion relations to nucleon Compton scattering
Author: Anthony C. Hearn
Publisher:
ISBN:
Category : Compton effect
Languages : en
Pages : 224
Book Description
Publisher:
ISBN:
Category : Compton effect
Languages : en
Pages : 224
Book Description
Experimental Test of the Dispersion Relation in Compton Scattering
Author: Hartmut Friedrich-Wilhelm Sadrozinski
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Dispersion Approach to Real and Virtual Compton Scattering
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
In recent years, new precision experiments have become possible withthe high luminosity accelerator facilities at MAMIand JLab, supplyingphysicists with precision data sets for different hadronic reactions inthe intermediate energy region, such as pion photo- andelectroproduction and real and virtual Compton scattering. By means of the low energy theorem (LET), the global properties of thenucleon (its mass, charge, and magnetic moment) can be separated fromthe effects of the internal structure of the nucleon, which areeffectively described by polarizabilities. Thepolarizabilities quantify the deformation of the charge andmagnetization densities inside the nucleon in an applied quasistaticelectromagnetic field. The present work is dedicated to develop atool for theextraction of the polarizabilities from these precise Compton data withminimum model dependence, making use of the detailed knowledge of pionphotoproduction by means of dispersion relations (DR). Due to thepresence of t-channel poles, the dispersion integrals for two ofthe six Compton amplitudes diverge. Therefore, we have suggested to subtract the s-channel dispersion integrals at zero photon energy($nu=0$). The subtraction functions at $nu=0$ are calculated through DRin the momentum transfer t at fixed $nu=0$, subtracted at t=0. For this calculation, we use the information about the t-channel process, $gammagammatopipito Nbar{N}$. In this way, four of thepolarizabilities can be predicted using the unsubtracted DR in the $s$-channel. The other two, $alpha-beta$ and $gamma_pi$, are free parameters in ourformalism and can be obtained from a fit to the Compton data. We present the results for unpolarized and polarized RCS observables, %in the kinematics of the most recent experiments, and indicate anenhanced sensitivity to the nucleon polarizabilities in theenergy range between pion production threshold and the $Delta(1232)$-resonance.newlineindentFurthermore, we extend the DR formalism to virtual Compton scatter.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
In recent years, new precision experiments have become possible withthe high luminosity accelerator facilities at MAMIand JLab, supplyingphysicists with precision data sets for different hadronic reactions inthe intermediate energy region, such as pion photo- andelectroproduction and real and virtual Compton scattering. By means of the low energy theorem (LET), the global properties of thenucleon (its mass, charge, and magnetic moment) can be separated fromthe effects of the internal structure of the nucleon, which areeffectively described by polarizabilities. Thepolarizabilities quantify the deformation of the charge andmagnetization densities inside the nucleon in an applied quasistaticelectromagnetic field. The present work is dedicated to develop atool for theextraction of the polarizabilities from these precise Compton data withminimum model dependence, making use of the detailed knowledge of pionphotoproduction by means of dispersion relations (DR). Due to thepresence of t-channel poles, the dispersion integrals for two ofthe six Compton amplitudes diverge. Therefore, we have suggested to subtract the s-channel dispersion integrals at zero photon energy($nu=0$). The subtraction functions at $nu=0$ are calculated through DRin the momentum transfer t at fixed $nu=0$, subtracted at t=0. For this calculation, we use the information about the t-channel process, $gammagammatopipito Nbar{N}$. In this way, four of thepolarizabilities can be predicted using the unsubtracted DR in the $s$-channel. The other two, $alpha-beta$ and $gamma_pi$, are free parameters in ourformalism and can be obtained from a fit to the Compton data. We present the results for unpolarized and polarized RCS observables, %in the kinematics of the most recent experiments, and indicate anenhanced sensitivity to the nucleon polarizabilities in theenergy range between pion production threshold and the $Delta(1232)$-resonance.newlineindentFurthermore, we extend the DR formalism to virtual Compton scatter.
Proton Compton Scattering in Dispersion Relation Analysis
Author: O. Dumbrajs
Publisher:
ISBN: 9789514514678
Category :
Languages : en
Pages : 8
Book Description
Publisher:
ISBN: 9789514514678
Category :
Languages : en
Pages : 8
Book Description
Compton Scattering
Author: Frank Wissmann
Publisher: Springer Science & Business Media
ISBN: 9783540407423
Category : Science
Languages : en
Pages : 170
Book Description
A comprehensive summary of experiments on Compton scattering from the proton and neutron performed at the electron accelerator MAMI. The experiments cover a photon energy range from 30 MeV to 500 MeV. The reader is introduced to the theoretical concepts of Compton scattering, followed by a description of the experiments on the proton, their analysis and results.
Publisher: Springer Science & Business Media
ISBN: 9783540407423
Category : Science
Languages : en
Pages : 170
Book Description
A comprehensive summary of experiments on Compton scattering from the proton and neutron performed at the electron accelerator MAMI. The experiments cover a photon energy range from 30 MeV to 500 MeV. The reader is introduced to the theoretical concepts of Compton scattering, followed by a description of the experiments on the proton, their analysis and results.
Dispersion relation calculations for pion electroproduction and...
Author: Cornelis Pieter Louwerse
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
Book Description