scholarly journals The nucleon form-factors of the energy–momentum tensor in the Skyrme model

2007 ◽  
Vol 794 (1-2) ◽  
pp. 87-114 ◽  
Author(s):  
C. Cebulla ◽  
K. Goeke ◽  
J. Ossmann ◽  
P. Schweitzer
Keyword(s):  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Skyrme Model ◽  
Nucleon Form Factors

scholarly journals Nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model

2007 ◽  
Vol 75 (9) ◽  
Author(s):  
K. Goeke ◽  
J. Grabis ◽  
J. Ossmann ◽  
M. V. Polyakov ◽  
P. Schweitzer ◽  
...  
Keyword(s):  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Soliton Model ◽  
Nucleon Form Factors

scholarly journals Gravitational form factors of a baryon with spin-3/2

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
June-Young Kim ◽  
Bao-Dong Sun
Keyword(s):  
Energy Momentum Tensor ◽  
Form Factors ◽  
Multipole Expansion ◽  
Momentum Tensor ◽  
Skyrme Model ◽  
Model Based ◽  
General Relations

AbstractThe energy–momentum tensor (EMT) for a spin-3/2 baryon is related to seven mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $$\Delta $$ Δ GFFs within the SU(2) Skyrme model based on the large $$N_{c}$$ N c limit.

scholarly journals Nucleon’s energy–momentum tensor form factors in light-cone QCD

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
K. Azizi ◽  
U. Özdem
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Light Cone ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Tensor Form ◽  
Chiral Perturbation ◽  
Theoretical Predictions

Abstract We use the energy–momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon’s interpolating field and use the distribution amplitudes (DAs) of the nucleon with two sets of the numerical values of the main input parameters entering the expressions of the DAs. The directly obtained results from the sum rules for the form factors are reliable at $$ Q^2\ge 1$$Q2≥1 GeV$$^2 $$2: to extrapolate the results to include the zero momentum transfer squared with the aim of estimation of the related static physical quantities, we use some fit functions for the form factors. The numerical computations show that the energy–momentum tensor form factors of the nucleon can be well fitted to the multipole fit form. We compare the results obtained for the form factors at $$ Q^2=0 $$Q2=0 with the existing theoretical predictions as well as experimental data on the gravitational form factor d$$_1^q(0)$$1q(0). For the form factors M$$_2^q (0)$$2q(0) and J$$^q(0)$$q(0) a consistency among the theoretical predictions is seen within the errors: our results are nicely consistent with the Lattice QCD and chiral perturbation theory predictions. However, there are large discrepancies among the theoretical predictions on d$$_1^q(0)$$1q(0). Nevertheless, our prediction is in accord with the JLab data as well as with the results of the Lattice QCD, chiral perturbation theory and KM15-fit. Our fit functions well define most of the JLab data in the interval $$ Q^2\in [0,0.4]$$Q2∈[0,0.4] GeV$$^2 $$2, while the Lattice results suffer from large uncertainties in this region. As a by-product, some mechanical properties of the nucleon like the pressure and energy density at the center of nucleon as well as its mechanical radius are also calculated and their results are compared with other existing theoretical predictions.

Some QCD/gravity intersections

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645032
Author(s):  
O. V. Teryaev
Keyword(s):  
Equivalence Principle ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Matrix Elements ◽  
Lattice Data ◽  
Hadron Structure ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Quark Transverse Momentum

Gravitational form factors are the matrix elements of the Belinfante energy momentum tensor (EMT) which naturally incorporate the hadron structure and the equivalence principle. The relocalization property allowing to transform EMT to the Belinfante form provides the “kinematical” counterpart of the famous [Formula: see text] problem. The equivalence principle may be approximately valid for quarks and gluons separately in non-perturbative (NP)QCD, and this conjecture is supported by the experimental and lattice data. The extra-dimensional gravity leading to holographic AdS/QCD is supporting the relation of quark transverse momentum to the Regge slope, discovered by V.N. Gribov.

Mass Radius of the Nucleon

1972 ◽  
Vol 50 (11) ◽  
pp. 1163-1168 ◽  
Author(s):  
M. G. Hare ◽  
G. Papini
Keyword(s):  
Mass Distribution ◽  
Intermediate State ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Dispersion Relations ◽  
Matrix Elements ◽  
State Expansion ◽  
The Matrix ◽  
The Mean

The mean radius of the mass distribution of the nucleon is determined to be [Formula: see text]. The calculation makes use of sidewise, unsubtracted, threshold dominated dispersion relations for the form factors appearing in the matrix elements of the contracted energy–momentum tensor. It uses a π meson–nucleon intermediate state expansion.

scholarly journals Energy–momentum tensor form factors of the nucleon in nuclear matter

2012 ◽  
Vol 718 (2) ◽  
pp. 625-631 ◽  
Author(s):  
Hyun-Chul Kim ◽  
Peter Schweitzer ◽  
Ulugbek Yakhshiev
Keyword(s):  
Nuclear Matter ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Tensor Form
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