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A Green's function formalism to analyze the scattering properties in confined geometries is developed. This includes scattering from a central field inside the guide created e.g. by impurities. For atomic collisions our approach applies to…

Quantum Physics · Physics 2007-05-23 Ji il Kim , Joerg Schmiedmayer , Peter Schmelcher

Propagation of the heavy quark in the field of a static antiquark source is studied in the framework of effective Dirac equation. The model of QCD vacuum is described by bilocal gluonic correlators. In the heavy quark limit the effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yu. S. Kalashnikova , A. V. Nefediev

A basic understanding of the relevant features of hadron properties from first principles QCD has remained elusive, and should be understood as emergent phenomena which depend critically on the number of dimensions of physical spacetime.…

High Energy Physics - Phenomenology · Physics 2022-12-29 Guy F. de Teramond

Based on a theory of extra dimensional confinement of quantum particles [E. R. Hedin, Physics Essays 25, 2 (2012)], a simple model of a nucleon-nucleon (NN) central potential is derived which quantitatively reproduces the radial profile of…

General Physics · Physics 2017-12-15 Eric R. Hedin

Numerical results for the calculation of the (rest-frame) $Q\bar{Q}$ potential, for light-front quantized $QCD_{2+1}$ on a $\perp$ lattice are presented. Both in the longitudinal as well as the $\perp$ spatial directions one obtains linear…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In…

High Energy Physics - Theory · Physics 2025-02-19 J. L. Alonso , C. Bouthelier-Madre , J. Clemente-Gallardo , D. Martínez-Crespo

In a theory with linear confinement, such as QCD, the masses squared m^2 of mesons with high spin S or high radial excitation number n are expected, from semiclassical arguments, to grow linearly with S and n. We show that this behavior can…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andreas Karch , Emanuel Katz , Dam T. Son , Mikhail A. Stephanov

Analytic and approximate solutions for the energy eigenvalues generated by a confined softcore Coulomb potentials of the form a/(r+\beta) in d>1 dimensions are constructed. The confinement is effected by linear and harmonic-oscillator…

Mathematical Physics · Physics 2015-06-22 Richard L Hall , Nasser Saad

The quark-antiquark potential and the chromoelectric fields generated by ``quarks'' in the adjoint representation of SU(2) color are analyzed in the scaling region of the theory. New results with interesting implications for our…

High Energy Physics - Lattice · Physics 2009-10-28 Howard D. Trottier

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman , R. F. Wagenbrunn

High-precision knowledge of electromagnetic form factors of nuclei is a subject of much current experimental and theoretical activity in nuclear and atomic physics. Such precision mandates that effects of the non-zero spatial extent of the…

Nuclear Theory · Physics 2019-12-11 Gerald A. Miller

The confinement of quarks is one of the enduring mysteries of modern physics. There is a longstanding physics heuristic that confinement is a consequence of `unbroken center symmetry'. This article gives mathematical confirmation of this…

Probability · Mathematics 2021-05-05 Sourav Chatterjee

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

A simple model of hadron which exhibits the quark confinement and the asymptotic freedom is described. The hadron is modelled as a sphere of radius equal to its Compton wavelength in which quarks occur surrounded by space with the uniformly…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Majernik

We show that in a quark model scheme the use of a screened potential, suggested by lattice QCD, instead of an infinitely rising one with the interquark distance, provides a more adequate description of the high-energy baryon spectrum. In…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Vijande , P. Gonzalez , H. Garcilazo , A. Valcarce

Dirac particles have been notoriously difficult to confine. Implementing a curved space Dirac equation solver based on the quantum Lattice Boltzmann method, we show that curvature in a 2-D space can confine a portion of a charged, mass-less…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Kyriakos Flouris , Miller Mendoza Jimenez , Jens-Daniel Debus , Hans J. Herrmann

Recent lattice QCD studies at vanishing density exhibit the parity-doubling structure for the low-lying baryons around the chiral crossover temperature. This finding is likely an imprint of the chiral symmetry restoration in the baryonic…

Nuclear Theory · Physics 2018-12-21 Michał Marczenko , David Blaschke , Krzysztof Redlich , Chihiro Sasaki

The interquark potential is constructed by making use of the new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the interquark potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We study analytically and numerically the interaction potentials between a pair of quark an anti-quark on D3, M2 and M5 branes. These potentials are obtained using Maldacena's method involving Wilson loops and present confining and…

High Energy Physics - Theory · Physics 2017-05-17 Edward Quijada , Henrique Boschi-Filho

We study quark confinement in a system of two parallel domain walls interpolating different color dielectric media. We use the phenomenological approach in which the confinement of quarks appears considering the QCD vacuum as a color…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , F. A. Brito , W. Freire , R. F. Ribeiro