A3 P 0 model with the relativistic quark wave function

1986 ◽  
Vol 323 (4) ◽  
pp. 471-475 ◽  
Author(s):  
S. Furui
Keyword(s):  
Wave Function ◽  
Quark Wave Function

scholarly journals Finite temperature Landau gauge lattice quark propagator

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Wave Function ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Quark Wave Function

Abstract The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$Tc are observed both for the quark wave function and the running quark mass. The results for the running quark mass indicate a link between gluon dynamics, the mechanism for chiral symmetry breaking and the deconfinement mechanism. For temperatures above $$T_c$$Tc and for low momenta, our results support also a description of quarks as free quasiparticles.

BARYON MAGNETIC MOMENTS AND SPIN DEPENDENT QUARK FORCES

2002 ◽  
Vol 11 (01) ◽  
pp. 71-81
Author(s):  
GEORGE L. STROBEL
Keyword(s):  
Wave Function ◽  
Magnetic Moment ◽  
Magnetic Moments ◽  
Mass Difference ◽  
Wave Functions ◽  
Small Current ◽  
Axial Charge ◽  
Strange Quarks ◽  
Quark Masses ◽  
Quark Wave Function

The J=3/2 Δ, J=1/2 nucleon mass difference shows that quark energies can be spin dependent. It is natural to expect that quark wave functions also depend on spin. In the octet, such spin dependent forces lead to different wave functions for quarks with spin parallel or antiparallel to the nucleon spin. A two component Dirac equation wave function is used for the quarks assuming small current quark masses for the u and d quarks. Then, the neutron/proton magnetic moment ratio, the nucleon axial charge, and the spin content of the nucleon can all be simultaneously fit assuming isospin invariance between the u and d quarks, but allowing for spin dependent forces. The breakdown of the Coleman–Glashow sum rule for octet magnetic moments follows naturally in this Dirac approach as the bound quark energy also effects the magnetic moment. Empirically the bound quark energy increases with the number of strange quarks in the system. Allowing the strange quark wave function similar spin dependence predicts the magnetic moments of the octet, in close agreement with experiment. Differences between the octet and decuplet magnetic moments are also explained immediately with spin dependent wave functions.

Projection of the six-quark wave function onto theNNchannel and the problem of the repulsive core in theNNinteraction

1991 ◽  
Vol 44 (6) ◽  
pp. 2343-2357 ◽  
Author(s):  
A. M. Kusainov ◽  
V. G. Neudatchin ◽  
I. T. Obukhovsky
Keyword(s):  
Wave Function ◽  
Repulsive Core ◽  
Quark Wave Function

Dependence of the heavy quark wave function renormalization on the c-quark mass in QCD

2009 ◽  
Vol 44 (3) ◽  
pp. 109-112
Author(s):  
H. M. Asatrian ◽  
H. H. Asatryan ◽  
H. A. Gabrielyan
Keyword(s):  
Wave Function ◽  
Heavy Quark ◽  
Quark Mass ◽  
Wave Function Renormalization ◽  
Quark Wave Function

scholarly journals Study of baryon octet charge form factors in perturbative chiral quark model

2014 ◽  
Vol 29 ◽  
pp. 1460252
Author(s):  
X. Y. Liu ◽  
K. Khosonthongkee ◽  
A. Limphirat ◽  
Y. Yan
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Quark Model ◽  
Form Factors ◽  
Baryon Octet ◽  
Chiral Quark Model ◽  
Charge Form ◽  
Quark Wave Function ◽  
Theoretical Results ◽  
Good Agreement

The charge form factors of baryon octet are studied in the perturbative chiral quark model (PCQM). The relativistic quark wave function is extracted by fitting the theoretical results of the nucleon charge form factors to the experimental data and the predetermined quark wave function is applied to study the charge form factors of other octet baryons. The PCQM results are found, based on the predetermined quark wave function, in good agreement with the experimental data.

scholarly journals NON-LOCAL CHIRAL QUARK MODELS WITH POLYAKOV LOOP AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1703-1709 ◽  
Author(s):  
G. A. CONTRERA ◽  
M. ORSARIA ◽  
N. N. SCOCCOLA
Keyword(s):  
Wave Function ◽  
Chemical Potential ◽  
Form Factors ◽  
Polyakov Loop ◽  
Chiral Quark Model ◽  
Wave Function Renormalization ◽  
Exponential Form ◽  
Quark Wave Function ◽  
Non Local ◽  
Quark Models

We analyze the chiral restoration and deconfinement transitions in the framework of a non-local chiral quark model which includes terms leading to the quark wave function renormalization, and takes care of the effect of gauge interactions by coupling the quarks with the Polyakov loop. Non-local interactions are described by considering both a set of exponential form factors, and a set of form factors obtained from a fit to the mass and renormalization functions obtained in lattice calculations.

Analytic integration of contrast transfer functions

1988 ◽  
Vol 46 ◽  
pp. 822-823
Author(s):  
Peter Rez
Keyword(s):  
Wave Function ◽  
Transfer Function ◽  
Transfer Functions ◽  
Spherical Aberration ◽  
Continuous Distribution ◽  
Objective Lens ◽  
Direction Parallel ◽  
Scattering Angle ◽  
Analytic Integration ◽  
Image Position

In high resolution microscopy the image amplitude is given by the convolution of the specimen exit surface wave function and the microscope objective lens transfer function. This is usually done by multiplying the wave function and the transfer function in reciprocal space and integrating over the effective aperture. For very thin specimens the scattering can be represented by a weak phase object and the amplitude observed in the image plane is1where fe (Θ) is the electron scattering factor, r is a postition variable, Θ a scattering angle and x(Θ) the lens transfer function. x(Θ) is given by2where Cs is the objective lens spherical aberration coefficient, the wavelength, and f the defocus.We shall consider one dimensional scattering that might arise from a cross sectional specimen containing disordered planes of a heavy element stacked in a regular sequence among planes of lighter elements. In a direction parallel to the disordered planes there will be a continuous distribution of scattering angle.

Atomic Imaging of Crystals using Large-Angle Electron Scattering in STEM

1990 ◽  
Vol 48 (1) ◽  
pp. 74-75
Author(s):  
D.E. Jesson ◽  
S. J. Pennycook
Keyword(s):  
Wave Function ◽  
Electron Scattering ◽  
Numerical Solutions ◽  
Large Angle ◽  
Real Space ◽  
High Angle ◽  
Analytical Treatment ◽  
Order Zero ◽  
Experimental Conditions ◽  
Ewald Sphere

It is well known that conventional atomic resolution electron microscopy is a coherent imaging process best interpreted in reciprocal space using contrast transfer function theory. This is because the equivalent real space interpretation involving a convolution between the exit face wave function and the instrumental response is difficult to visualize. Furthermore, the crystal wave function is not simply related to the projected crystal potential, except under a very restrictive set of experimental conditions, making image simulation an essential part of image interpretation. In this paper we present a different conceptual approach to the atomic imaging of crystals based on incoherent imaging theory. Using a real-space analysis of electron scattering to a high-angle annular detector, it is shown how the STEM imaging process can be partitioned into components parallel and perpendicular to the relevant low index zone-axis.It has become customary to describe STEM imaging using the analytical treatment developed by Cowley. However, the convenient assumption of a phase object (which neglects the curvature of the Ewald sphere) fails rapidly for large scattering angles, even in very thin crystals. Thus, to avoid unpredictive numerical solutions, it would seem more appropriate to apply pseudo-kinematic theory to the treatment of the weak high angle signal. Diffraction to medium order zero-layer reflections is most important compared with thermal diffuse scattering in very thin crystals (<5nm). The electron wave function ψ(R,z) at a depth z and transverse coordinate R due to a phase aberrated surface probe function P(R-RO) located at RO is then well described by the channeling approximation;

DEUTERON: WAVE FUNCTION AND PARAMETERS

2014 ◽  
Vol 36 (0) ◽  
pp. 100-106 ◽  
Author(s):  
І. І. Гайсак ◽  
В. І. Жаба
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function
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