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We study the generalized sum rules and polarizabilities of the nucleon in the framework of the hypercentral constituent quark model. We include in the calculation all the well known $3^*$ and $4^*$ resonances and consider all the…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto , L. Tiator

In a general framework that has been labeled the ``gauging of equations method'', we study the diagrams that contribute to Compton scattering off a relativistic composite system. These contributions can be derived for $N$--particle bound…

Nuclear Theory · Physics 2009-09-25 Matthias Koll , Ralf Ricken

The impact of the sub - nucleon fluctuations on the Deeply Virtual Compton Scattering (DVCS) process at the Electron - Ion Collider (EIC) is investigated considering proton and nuclear targets. Assuming the hot - spot model, we estimate the…

High Energy Physics - Phenomenology · Physics 2026-04-30 J. Cepila , V. P. Goncalves , A. Ridzikova

Compton scattering offers in principle an intriguing new window on nucleon structure. Existing experiments and future programs are discussed and the state of theoretical understanding of such measurements is explored.

High Energy Physics - Phenomenology · Physics 2009-10-30 Barry R. Holstein

We introduce and study a generalized energy conservation relation for scattering of time-modulated waves, where conventional energy conservation does not hold. Based on this relation, we derive an optical theorem and compute the active…

Optics · Physics 2025-09-25 Erik Orvehed Hiltunen , John C. Schotland

The nucleon spectral function in nuclear matter fulfills an energy weighted sum rule. Comparing two different realistic potential, these sum rules are studied for Green's functions that are derived self-consistently within the $T$ matrix…

Nuclear Theory · Physics 2009-11-10 T. Frick , H. Müther , A. Polls

Inclusive electron scattering off few-nucleon systems is investigated at $x>1$ and high momentum transfer, including the contributions from quasi-elastic and deep inelastic scattering processes. It is shown that at $x>1$ the inclusive cross…

Nuclear Theory · Physics 2011-04-15 S. Simula

We discuss a number of constraints on the effects of zero-range potentials in quantum mechanics. We show that for such a potential $p \cot(\delta)$, where $p$ is the momentum of the nucleon in the center of mass frame and $\delta$ is the…

Nuclear Theory · Physics 2009-10-30 Daniel R. Phillips , Thomas D. Cohen

We describe upgrades to a numerical code which computes synchrotron and inverse-Compton emission from relativistic plasma including full polarization. The introduced upgrades concern scattering kernel which is now capable of scattering the…

High Energy Astrophysical Phenomena · Physics 2022-11-16 M. Moscibrodzka

We study the timelike virtual Compton scattering process with a linearly polarized photon beam, in the generalized Bjorken scaling region and in the medium energy range which will be studied intensely at JLab12 experiments. We define new…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. T. Goritschnig , B. Pire , J. Wagner

Starting from very high energy inelastic electron-nucleon scattering with a production of a hadronic state $X$ to be moved closely to the direction of the initial nucleon, then utilizing analytic properties of parts of forward virtual…

High Energy Physics - Phenomenology · Physics 2011-07-19 E. Bartos , E. A. Kuraev , S. Dubnicka

Starting from the Mandelstam-Leibbrandt prescription, we introduce a general rule for the null vector $\bar{n}$ to compute any $SIM(2)$ integral and diagram with an arbitrary number of external legs. Using the new prescription, the…

High Energy Physics - Theory · Physics 2020-02-03 Jorge Alfaro , Alex Soto

Unitarity and the optical theorem are used to derive the reduced density matrices of Compton scattering in the presence of a witness particle. Two photons are initially entangled wherein one photon participates in Compton scattering while…

High Energy Physics - Theory · Physics 2023-12-05 Shanmuka Shivashankara

The study of exclusive processes in the future electron-ion ($eA$) colliders will be an important tool to investigate the QCD dynamics at high energies as they are in general driven by the gluon content of the target which is strongly…

High Energy Physics - Phenomenology · Physics 2015-06-11 V. P. Goncalves , D. S. Pires

This is the second of two papers in which we study real and virtual photon-proton scattering in a nonperturbative framework. In the first paper we have identified the leading contributions to this process at high energies and have derived…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Ewerz , Otto Nachtmann

A quantum theory of scattering of radiation by a stationary free electron based on photon conception and relativistic kinematics, applying the principles of conservation of energy and conservation of momentum was proposed by Compton to…

Quantum Physics · Physics 2013-06-04 Vinay Venugopal , Piyush S Bhagdikar

Diffractive deeply virtual Compton scattering (DiDVCS) is the process $\gamma^*(- Q^2) + N \rightarrow \rho^0 + \gamma^* (Q'^2)+ N'$, where N is a nucleon or light nucleus, in the kinematical regime of large rapidity gap between the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Bernard Pire , Lech Szymanowski , Samuel Wallon

We consider mathematical models of the weak decay of the vector bosons $W^{\pm}$ into leptons. The free quantum field hamiltonian is perturbed by an interaction term from the standard model of particle physics. After the introduction of…

Mathematical Physics · Physics 2018-10-04 Benjamin Alvarez , Jérémy Faupin

Compton scattering provides important insight into the structure of the nucleon. For photons up to about 300 MeV, it is parameterised by six dynamical dipole polarisabilities which characterise the response of the nucleon to a monochromatic…

Nuclear Theory · Physics 2012-12-12 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips , Gerald Feldman

We investigate the dependence of polarisation observables in elastic deuteron Compton scattering below the pion production threshold on the spin-independent and spin-dependent iso-scalar dipole polarisabilities of the nucleon. The…

Nuclear Theory · Physics 2012-03-28 Harald W. Griesshammer , Deepshikha Shukla