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The relation between equal-time and light-front wave functions is studied using models for which the four-dimensional solution of the Bethe-Salpeter wave function can be obtained. The popular prescription of defining the longitudinal…

Nuclear Theory · Physics 2013-05-29 Gerald A. Miller , Brian C. Tiburzi

We study the structure of generalized parton distributions in impact parameter space with the aim of determining the size and role of small transverse separations components in the quarks wave function. We analyze the relation between…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Liuti , S. K. Taneja

We apply a dynamical three-constituent quark light-front model to study the proton. The dynamics is based on the notion of a diquark (bound or virtual) as the dominant interaction channel, which paramaterizes a contact interaction between…

High Energy Physics - Phenomenology · Physics 2021-12-17 Emanuel Ydrefors , Tobias Frederico

We explore skewed parton distributions for two-body, light-front wave functions. In order to access all kinematical regimes, we adopt a covariant Bethe-Salpeter approach, which makes use of the underlying equation of motion (here the…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

We present the first attempt of a new method to compute the pion light-cone wave function (LCWF) on the lattice. We compute the matrix element between the pion and the vacuum of a non-local operator: the propagator of a ``scalar quark''…

High Energy Physics - Phenomenology · Physics 2016-08-16 A. Abada , Ph. Boucaud , G. Herdoiza , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes. This factorization allows one conveniently resum Sudakov logarithms appearing in…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

This is the third paper on hadronic light front wave functions (LFWFs). We derive a light front Hamiltonian from first principles using the key features of the QCD vacuum at low resolution. In the first approximation, it gives transverse…

High Energy Physics - Phenomenology · Physics 2022-08-11 Edward Shuryak , Ismail Zahed

We calculate the leading twist pion unpolarized transverse momentum distribution $f_1(x,k_T^2)$ and the Boer-Mulders function $h_1^\perp(x,k_T^2)$, using leading Fock-state light front wave functions (LF-LFWFs) based on Dyson-Schwinger and…

High Energy Physics - Phenomenology · Physics 2023-04-25 Wei Kou , Chao Shi , Xurong Chen , Wenbao Jia

We introduce a general expression which enables the parton distribution, unintegrated over the parton transverse momentum, to be obtained from the conventional parton densities. We use the formalism to study the effects of the transverse…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. A. Kimber , A. D. Martin , M. G. Ryskin

Light-front quantization has important advantages for describing relativistic statistical systems, particularly systems for which boost invariance is essential, such as the fireball created in a heavy ion collisions. In this paper we…

High Energy Physics - Theory · Physics 2009-09-11 J. Raufeisen , S. J. Brodsky

The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauge is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF…

High Energy Physics - Phenomenology · Physics 2009-09-11 Prem P. Srivastava , Stanley J. Brodsky

As in the case of the hydrogen atom, bound-state wave functions are needed to generate hadronic spectra. For this purpose, in 1971, Feynman and his students wrote down a Lorentz-invariant harmonic oscillator equation. This differential…

High Energy Physics - Phenomenology · Physics 2009-07-14 Y. S. Kim

We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We take an effective two-body spin-1/2 state, namely an electron dressed with a photon in QED. We express the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Chakrabarti , A. Mukherjee

We pursue applications of the light-front reduction of current matrix elements in the Bethe-Salpeter formalism. The normalization of the reduced wave function is derived from the covariant framework and related to non-valence probabilities…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We express them in terms of overlaps of light-cone wave functions for a self consistent two-body spin-1/2…

High Energy Physics - Phenomenology · Physics 2014-11-18 D. Chakrabarti , A. Mukherjee

The role of Poincar\'e covariant space-time translations is investigated in the case of the pseudoscalar-meson charge form factors calculated within a relativistic quantum mechanics framework. It is shown that this role extends beyond the…

Nuclear Theory · Physics 2010-12-15 Bertrand Desplanques , Yu-Bing Dong

The quark generalised parton distributions of the pion are calculated from lightcone wavefunctions in transverse lattice gauge theory at large N_c. The pion effective size is found to decrease with increasing momentum transfer. An analytic…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley

Light-front quantum chromodynamics may lead to an accurate constituent approximation for the low-energy properties of hadrons. This requires a cutoff that violates explicit gauge invariance and Lorentz covariance, leading to the calculation…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

Different approaches have been applied to the calculation of form factors of various hadronic systems within relativistic quantum mechanics. In a one-body current approximation, they can lead to results evidencing large discrepancies.…

Nuclear Theory · Physics 2007-07-19 B. Desplanques