scholarly journals Light-cone distribution amplitudes of the nucleon and ∆ baryon

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
June-Young Kim ◽  
Hyun-Chul Kim ◽  
Maxim V. Polyakov
Keyword(s):  
Wave Function ◽  
Light Cone ◽  
Valence Quark ◽  
Wave Functions ◽  
Lattice Data ◽  
Soliton Model ◽  
Fock States ◽  
Relativistic Corrections ◽  
Good Agreement ◽  
Baryon Wave Function

Abstract We investigate the light-cone wave functions and leading-twist distribution amplitudes for the nucleon and ∆ baryon within the framework of the chiral quark-soliton model. The baryon wave function consists of the valence quark and vacuum wave functions. The vacuum wave functions generate all possible higher Fock states by expanding them. We find that it is essential to consider the five-quark component and relativistic corrections to evaluate the distribution amplitudes of the nucleon and ∆ isobar. Having taken into account them, we derive the distribution amplitudes. The results are in good agreement with the lattice data.

scholarly journals IS IT POSSIBLE TO CONSTRUCT THE PROTON STRUCTURE FUNCTION BY LORENTZ-BOOSTING THE STATIC QUARK-MODEL WAVE FUNCTION?

2004 ◽  
Vol 19 (31) ◽  
pp. 5435-5442 ◽  
Author(s):  
Y. S. KIM ◽  
MARILYN E. NOZ
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Structure Function ◽  
Parton Distribution ◽  
Wave Functions ◽  
Proton Structure Function ◽  
Proton Structure ◽  
Static Quark ◽  
Momentum Relation ◽  
Good Agreement

The energy-momentum relations for massive and massless particles are E=p2/2m and E=pc respectively. According to Einstein, these two different expressions come from the same formula [Formula: see text]. Quarks and partons are believed to be the same particles, but they have quite different properties. Are they two different manifestations of the same covariant entity as in the case of Einstein's energy-momentum relation? The answer to this question is YES. It is possible to construct harmonic oscillator wave functions which can be Lorentz-boosted. They describe quarks bound together inside hadrons. When they are boosted to an infinite-momentum frame, these wave functions exhibit all the peculiar properties of Feynman's parton picture. This formalism leads to a parton distribution corresponding to the valence quarks, with a good agreement with the experimentally observed distribution.

scholarly journals New analytical forms of wave function in coordinate space and tensor polarization of deuteron

2016 ◽  
Vol 31 (25) ◽  
pp. 1650139 ◽  
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function ◽  
Theoretical Data ◽  
Wave Functions ◽  
Coordinate Space ◽  
Tensor Polarization ◽  
Good Agreement

The coefficients of new analytical forms for the deuteron wave function (DWF) in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials have been numerically calculated. The obtained wave functions do not contain any superfluous knots. The designed parameters of the deuteron are in good agreement with the experimental and theoretical data. The tensor polarization [Formula: see text] calculated based on the wave functions is proportionate to the earlier published results.

scholarly journals Chiral dynamics with confinement versus the standard chiral theory

2021 ◽  
Vol 36 (33) ◽  
Author(s):  
Yu. A. Simonov
Keyword(s):  
Degrees Of Freedom ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Wave Functions ◽  
Lattice Data ◽  
Mass Limit ◽  
Decay Constants ◽  
Chiral Theory ◽  
The Masses ◽  
Good Agreement

Chiral dynamics is investigated using the chiral confining Lagrangian (CCL), previously derived from QCD with confinement interaction. Based on the calculations of the quark condensate, which is defined entirely by confinement in the zero quark mass limit, one can assert that chiral symmetry breaking is predetermined by confinement. It is shown that CCL retains all basic relations of the standard chiral theory but enables one to include quark degrees of freedom in the CCL. The expansion of the CCL provides the Gell–Mann–Oakes–Renner (GMOR) relations and the masses and decay constants of all chiral mesons, including [Formula: see text]. For the latter, one needs to define a nonchiral component due to confinement, while the orthogonality condition defines the wave functions and the eigenvalues. The resulting masses and decay constants of all chiral mesons are obtained in good agreement with the experimental and lattice data.

Screening constants for relativistic wave functions

1966 ◽  
Vol 62 (4) ◽  
pp. 777-782 ◽  
Author(s):  
R. H. Garstang ◽  
D. F. Mayers
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Wave Functions ◽  
Relativistic Wave Equation ◽  
Mean Square ◽  
Relativistic Wave ◽  
Coulomb Wave Function ◽  
Relativistic Coulomb ◽  
The Mean ◽  
Good Agreement

AbstractFormulae for the mean radius and mean square radius of a relativistic Coulomb wave function are obtained. Screening constants for the energy, mean radius and mean square radius are defined relative to non-relativistic wave functions and the results of numerical calculations given. It is shown that if the screening constants so determined are added to the screening constants due to the presence of other electrons as found by the s.c.f. method, good agreement is obtained in a case where both effects have been considered together. The value of solving the relativistic wave equation in a Thomas-Fermi field is also shown.

scholarly journals Direct Measurement of the Pion Valence-Quark Momentum Distribution, the Pion Light-Cone Wave Function Squared

2001 ◽  
Vol 86 (21) ◽  
pp. 4768-4772 ◽  
Author(s):  
E. M. Aitala ◽  
S. Amato ◽  
J. C. Anjos ◽  
J. A. Appel ◽  
D. Ashery ◽  
...  
Keyword(s):  
Wave Function ◽  
Direct Measurement ◽  
Momentum Distribution ◽  
Light Cone ◽  
Valence Quark ◽  
Light Cone Wave Function ◽  
Quark Momentum

scholarly journals The dipole picture and the non-relativistic expansion

2022 ◽  
Vol 258 ◽  
pp. 04006
Author(s):  
Miguel Ángel Escobedo ◽  
Tuomas Lappi
Keyword(s):  
Wave Function ◽  
Light Cone ◽  
Nonrelativistic Limit ◽  
Wave Functions ◽  
Tree Level ◽  
Leading Order ◽  
Light Cone Gauge ◽  
Quarkonium Production ◽  
Light Cone Wave Function ◽  
Dipole Picture

We study exclusive quarkonium production in the dipole picture at next-to-leading order (NLO) accuracy, using the non-relativistic expansion for the quarkonium wavefunction. The quarkonium light cone wave functions needed in the dipole picture have typically been available only at tree level, either in phenomenological models or in the nonrelativistic limit. Here, we discuss the compatibility of the dipole approach and the non-relativistic expansion and compute NLO relativistic corrections to the quarkonium light-cone wave function in light-cone gauge.

STRUCTURE FUNCTIONS OF THE NUCLEON IN THE QUARK–DIQUARK MODEL AND EXTENSION TO FINITE DENSITY

2003 ◽  
Vol 18 (08) ◽  
pp. 1413-1416
Author(s):  
H. MINEO ◽  
W. BENTZ ◽  
K. YAZAKI ◽  
A. W. THOMAS
Keyword(s):  
Wave Function ◽  
Light Cone ◽  
Valence Quark ◽  
Axial Vector ◽  
Diquark Model ◽  
Finite Density ◽  
Scalar Diquark ◽  
Njl Model ◽  
Momentum Distributions ◽  
Extract Information

In this work we use a simple approximation to the relativistic Faddeev description of the nucleon in the framework of the Nambu-Jona-Lasinio (NJL) model. We discuss the flavor dependence of valence quark light-cone momentum distributions, and by comparing with the empirical informations we extract information on the strength of the axial vector diquark correlations. As an extension to finite density, we also discuss the EMC effect in nuclear matter, keeping only the scalar diquark channel in the wave function.

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Wave Functions ◽  
Main Task ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Relative Wave Function ◽  
New Equation ◽  
The Universe

Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter.

scholarly journals Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
H. Panahi ◽  
A. Savadi
Keyword(s):  
Exact Solution ◽  
Phase Space ◽  
Algebraic Approach ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues ◽  
Good Agreement

We study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.

The Pion Renormalized Light-Cone Wave Function

2016 ◽  
Vol 57 (6) ◽  
pp. 449-453 ◽  
Author(s):  
Arkadiusz P. Trawiński
Keyword(s):  
Wave Function ◽  
Light Cone ◽  
Light Cone Wave Function
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