Some aspects of three-quark potentials

Andreev, Oleg

doi:10.1103/physrevd.93.105014

Cited by 36 publications

(45 citation statements)

References 52 publications

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“…For baryons the question of Y vs. ∆-shaped potentials has been discussed e.g. in [124][125][126][127]. Relativistic corrections to interquark potentials have been provided in Refs.…”

Section: The Quark Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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“…For baryons the question of Y vs. ∆-shaped potentials has been discussed e.g. in [124][125][126][127]. Relativistic corrections to interquark potentials have been provided in Refs.…”

Section: The Quark Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

View full text Add to dashboard Cite

show abstract

“…Spin effects are among the quantum effects studied in plasmas [1][2][3][4][5][6][7][8]. The separate spin evolution (SSE) model, where the consideration of electrons with different spin projections as different species is assumed, provides more detailed description of spin effects in plasmas in compare with the single fluid models of electron gas [9][10][11][12]. Majority of papers on the SSE in quantum plasmas contain application of corresponding hydrodynamic model [9,[12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas

Andreev

2018

Physics of Plasmas

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Oblique propagation of the spin-electron acoustic waves in degenerate magnetized plasmas is considered in terms of quantum kinetics with the separate spin evolution, where the spin-up electrons and the spin-down electrons are considered as two different species with different equilibrium distributions. It is considered in the electrostatic limit. Corresponding dispersion equation is derived. Analytical analysis of the dispersion equation is performed in the long-wavelength limit to find an approximate dispersion equation describing the spin-electron acoustic wave. The approximate dispersion equation is solved numerically. Real and imaginary parts of the spin-electron acoustic wave frequency are calculated for different values of the parameters describing the system. It is found that the increase of angle between direction of wave propagation and the external magnetic field reduces the real and imaginary parts of spin-electron acoustic wave frequency. The increase of the spin polarization decreases the real and imaginary parts of frequency either. The imaginary part of frequency has nonmonotonic dependence on the wave vector which shows a single maximum. The imaginary part of frequency is small in compare with the real part for all parameters in the area of applicability of the obtained dispersion equation.

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“…There is the spin dynamics itself, where the spin evolution equation is included in hydrodynamics [1][2][3][4][5][6][7][8][9][10][11][12][13], and the spin-distribution function evolution is included in kinetics [14][15][16][17][18], or the distribution function in the extended phase space is considered [19][20][21][22]. It reveals the existence of different spin waves and solitons [3,9,17,19,23,24]. The separate spin evolution is a field, where the spin-up electrons and spindown electrons are considered as two different species [3,5,25,26].…”

Section: Introductionmentioning

confidence: 99%

“…It gives two independent continuity equations and two independent Euler equations while the spin density describes all electrons simultaneously and there is one spin evolution equation for all electrons [3]. The separate spin evolution leads to the spin-electron acoustic waves [3,23,27,28]. The derivation of equation of state for the thermal part of spin current (or the Fermi spin current) entering the spin evolution equation in the hydrodynamic models is an important field of study of the spin effects [6,26,29].…”

Section: Introductionmentioning

confidence: 99%

Oblique propagation of longitudinal spin-electron acoustic waves under the influence of the Coulomb exchange interaction and the quantum Bohm potential

Andreev

2019

Physics of Plasmas

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Influence of the exchange interaction on the properties of the spin-electron acoustic waves at the oblique propagation of waves relatively to the external magnetic field in the magnetically ordered metals is studied. The spectra of the Langmuir wave and the Trivelpiece-Gould wave are also considered. It is well-known that there are two branches of spectrum of the spin-electron acoustic waves in this regime. Change their properties under influence of the exchange interaction is studied. The quantum Bohm potential is included either. The exchange interaction and quantum Bohm potential gives opposite contributions, but they do not compensate each other since they have different dependence on the wave vector. This competition creates a non-monotonical behavior of the Trivelpiece-Gould wave spectrum. The concavity changes in the monotonic spectra of the Langmuir wave and the SEAWs are found.

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Some aspects of three-quark potentials

Cited by 36 publications

References 52 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas

Oblique propagation of longitudinal spin-electron acoustic waves under the influence of the Coulomb exchange interaction and the quantum Bohm potential

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