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We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the $(1/2,0)\oplus(0,1/2)$ representation of the homogeneous Lorentz group. Using $U(1)_{em}$ gauge principle we…

High Energy Physics - Phenomenology · Physics 2011-04-22 E. G. Delgado-Acosta , Mauro Napsuciale , Simon Rodriguez

We evaluate the forward Compton scattering off the proton, based on Kramers-Kronig kind of relations which express the Compton amplitudes in terms of integrals of total photoabsorption cross sections. We obtain two distinct fits to the…

Nuclear Theory · Physics 2015-10-28 Oleksii Gryniuk , Franziska Hagelstein , Vladimir Pascalutsa

The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical…

High Energy Physics - Theory · Physics 2022-03-30 Rafael Aoude , Kays Haddad , Andreas Helset

Scattering of a spin-1/2 particle off a spin-0 target is formulated based on a simple three-dimensional momentum-spin basis. The azimuthal behaviour of both the potential and the T-matrix elements leads to a set of integral equations for…

Nuclear Theory · Physics 2015-06-04 Imam Fachruddin , Agus Salam

We consider the theory of spinor fields written in polar form, that is the form in which the spinor components are given in terms of a module times a complex unitary phase respecting Lorentz covariance. In this formalism, spinors can be…

General Physics · Physics 2021-06-01 Flora Moulin , Luca Fabbri , Aurélien Barrau

Compton scattering by the proton has been measured over a wide range covering photon energies 250 MeV < E_\gamma < 800 MeV and photon scattering angles 30^0 < \theta^{lab}_\gamma < 150^0, using the tagged-photon facility at MAMI (Mainz) and…

We investigate the status of the lower spin-1/2 companions to spin-3/2 within the four-vector spinor, $\psi_\mu$. According to its reducibility, $\psi_\mu\longrightarrow \left[(1/2,1)\oplus (1,1/2)\right]\oplus [(1/2,0)\oplus (0,1/2)]$ this…

High Energy Physics - Phenomenology · Physics 2013-07-05 E. G. Delgado-Acosta , V. M. Banda-Guzmán , M. Kirchbach

The forward Compton scattering off the proton is determined by substituting the empirical total photoabsorption cross sections into dispersive sum rules. In addition to the spin-independent amplitude evaluated previously [Phys. Rev. D 92,…

Nuclear Theory · Physics 2016-09-07 Oleksii Gryniuk , Franziska Hagelstein , Vladimir Pascalutsa

Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form…

High Energy Physics - Theory · Physics 2010-05-20 Konstantin G. Savvidy

We consider the spin-averaged nucleon forward Compton scattering amplitude in heavy baryon chiral perturbation theory including all terms to order ${\cal O} (q^4)$. The chiral prediction for the spin-averaged forward Compton scattering…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Bernard , N. Kaiser , Ulf-G. Meißner , A. Schmidt

We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor , Germar Knoechlein

Relativistic particles with spins $J>0$ are described by means of multicomponent wave functions which transform covariantly according to Lorentz-group representations that contain at rest the spin of interest. The symmetry group of…

High Energy Physics - Theory · Physics 2013-05-20 E. G. Delgado-Acosta , M. Kirchbach , M. Napsuciale , S. Rodríguez

We perform a study of the doubly virtual Compton scattering off a spinless target gamma* P -> gamma* P' within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance…

High Energy Physics - Phenomenology · Physics 2010-12-16 C. Marquet , C. Roiesnel , S. Wallon

We study the doubly virtual Compton scattering off a spinless target $\gamma^*P\to\gamma^*P'$ within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance of the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Cyrille Marquet , Claude Roiesnel , Samuel Wallon

Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form…

High Energy Physics - Theory · Physics 2011-11-23 Konstantin G. Savvidy

Differential cross sections for Compton scattering from the proton have been measured at scattering angles of $55^\circ$, $90^\circ$, and $125^\circ$ in the laboratory frame using quasimonoenergetic linearly (circularly) polarized photon…

Compton scattering by the proton has been measured using the tagged-photon facility at MAMI (Mainz) and the large-acceptance arrangement LARA. The new data are interpreted in terms of dispersion theory based on the SAID-SM99K…

Making use of the recently-derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at $\mathcal{O}(G^{2})$ and all orders in spin. By…

High Energy Physics - Theory · Physics 2022-10-12 Rafael Aoude , Kays Haddad , Andreas Helset

We consider the scattering of fermions off antifermions with spin 1/2 and 3/2. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

High Energy Physics - Phenomenology · Physics 2015-05-28 S. Stoica , M. F. M. Lutz , O. Scholten

Polarized Compton scattering on the deuteron is studied in nuclear effective field theory. A set of tensor structures is introduced to define 12 independent Compton amplitudes. The scalar and vector amplitudes are calculated up to ${\cal…

Nuclear Theory · Physics 2009-11-10 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li
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