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Relativistic exchange current corrections to the impulse approximation in low and intermediate energy neutrino--nucleus scattering are presented assuming non--vanishing strange quark form factors for constituent nucleons. Two--body exchange…

Nuclear Theory · Physics 2008-11-26 Y. Umino , J. M. Udias

We refine the relativistic constituent quark model developed in our previous papers to include the confinement of quarks. It is done, first, by introducing the scale integration in the space of alpha-parameters, and, second, by cutting this…

High Energy Physics - Phenomenology · Physics 2010-05-12 Tanja Branz , Amand Faessler , Thomas Gutsche , Mikhail A. Ivanov , Jurgen G. Korner , Valery E. Lyubovitskij

We present a unitary relativistic quasi-potential model for describing the low-energy pion-nucleon interaction, based on the equal time Bethe-Salpeter equation. It preserves the covariant structure of a relativistic spin 1/2 particle for…

Nuclear Theory · Physics 2009-10-30 V. Pascalutsa , J. A. Tjon

Pseudoscalar and axial neutral and charged pion-constituent quark coupling constants are investigated with nondegenerate quark masses in different kinematical points, off shell and on shell pions and constituent quarks. By considering a…

High Energy Physics - Phenomenology · Physics 2025-07-08 Fabio L. Braghin

A simple model of a composite nucleon is developed in which a fermion and a boson, representing quark and diquark constituents of the nucleon, form a bound state owing to a contact interaction. Photon and pion couplings to the quark provide…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equal deficiency indices, we derive a new representation for the…

Spectral Theory · Mathematics 2018-05-21 Kirill D. Cherednichenko , Alexander V. Kiselev , Luis O. Silva

The three well-known forms of relativistic dynamics are unitarily equivalent and the problem of constructing the current operators can be solved in any form. However the notion of the impulse approximation is reasonable only in the point…

High Energy Physics - Phenomenology · Physics 2007-05-23 Felix M. Lev

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

A description of the NN scattering is constructed starting from the $\pi, \eta, \eta'$ pseudoscalar-, the $\rho, \phi, \omega$ vector-, and the $\varepsilon(600), a_0, f_0(1400)$ scalar - meson-nucleon coupling constants, which we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. Antalik , V. E. Lyubovitskij

We construct the full axial current of the constituent quarks by a summation of the infinite number of diagrams describing constituent-quark soft interactions. By requiring that the conservation of this current is violated only by terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We discuss electromagnetic currents in the point-form formulation of relativistic quantum mechanics. The construction is along a spectator model and implies that only one quark is explicitly coupled to the photon, but nevertheless many-body…

Nuclear Theory · Physics 2017-08-23 T. Melde

Using a simple picture of the constituent quark as a composite system of point-like partons, we construct the parton distributions by a convolution between constituent quark momentum distributions and constituent quark structure functions.…

High Energy Physics - Phenomenology · Physics 2011-07-19 Sergio Scopetta , Vicente Vento , Marco Traini

We derive the expression for the nonperturbative coupling of a hadron to two external currents from its underlying structure in QCD. Microscopically, the action of each current is resolved to a coupling with dressed quarks. The Lorentz…

High Energy Physics - Phenomenology · Physics 2013-05-30 Gernot Eichmann , Christian S. Fischer

The pion structure function is investigated in a simple pseudo-scalar coupling model of pion and constituent quark fields. The imaginary part of the forward Compton scattering amplitude is evaluated. We show that the introduction of…

High Energy Physics - Phenomenology · Physics 2017-08-23 P. Stassart , F. Bissey , J. -R. Cudell , J. Cugnon , M. Jaminon , J. -P. Lansberg

Point-form relativistic quantum mechanics is applied to elastic electron-deuteron scattering. The deuteron is modeled using relativistic interactions that are scattering-equivalent to the nonrelativistic Argonne $v_{18}$ and Reid '93…

Nuclear Theory · Physics 2011-07-19 T. W. Allen , W. H. Klink , W. N. Polyzou

The pion scalar, vector and tensor form factors are calculated within a symmetry-preserving contact interaction model (CI) of quantum chromodynamics (QCD), encompassed within a Dyson-Schwinger and Bethe-Salpeter equations approach. In…

High Energy Physics - Phenomenology · Physics 2022-10-05 Xiaobin Wang , Zanbin Xing , Jiayin Kang , Khépani Raya , Lei Chang

A simple picture of the constituent quark as a composite system of point-like partons is used to construct the unpolarized and polarized parton distributions by a convolution between constituent quark momentum distributions and constituent…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Scopetta , V. Vento , M. Traini

A critical discussion is given of the results for baryon electromagnetic and axial form factors obtained from relativistic constituent quark models in the framework of Poincar\'e-invariant quantum mechanics. The primary emphasis lies on the…

Nuclear Theory · Physics 2017-08-23 W. Plessas

Meson decays are considered within the constituent quark model, making use of the dispersion formulation of the model: Starting with spacelike momentum transfers $q$, meson transition form factors are expressed as relativistic invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Melikhov

We calculate the transition form factor of the neutral pion where one photon is virtual and another photon is real in the model where the light constituent quark mass and the quark-pion vertex are taken to be momentum independent. Radiative…

High Energy Physics - Phenomenology · Physics 2013-08-09 A. E. Dorokhov , E. A. Kuraev
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