scholarly journals Estimation of the Properties of Quarks. II. Scalar Quark?Quark Interaction

1970 ◽  
Vol 23 (5) ◽  
pp. 627 ◽  
Author(s):  
GB Smith
Keyword(s):  
Dirac Equation ◽  
Quark Model ◽  
Quark Mass ◽  
Effective Interaction ◽  
Scalar Potential ◽  
Quark Interaction ◽  
Scalar Quark ◽  
Hadronic Spectrum

Describing the hadrons by a relativistic independent quark model, using the Dirac equation with a scalar potential for the effective interaction, the range of the quark-quark interaction is found to lie between O� 3 and 0�4 fm. The hadronic spectrum is shown to be independent of the quark mass and the form of the quark-quark interaction.

scholarly journals Estimation of the Properties of Quarks. I. Vector Quark?Quark Interaction

1970 ◽  
Vol 23 (5) ◽  
pp. 615 ◽  
Author(s):  
GB Smith ◽  
LJ Tassie
Keyword(s):  
Dirac Equation ◽  
Quark Mass ◽  
Sum Rules ◽  
Effective Interaction ◽  
Form Factors ◽  
Energy Term ◽  
Quark Interaction ◽  
Nucleon Form Factors ◽  
Potential Energy Term ◽  
The Masses

From the sum rules for hadron scattering, the nucleon form factors, and the masses of the hadrons, the properties of quarks are estimated as: 2 Ge V Jc2 ;:; quark mass ;:; 30 Ge V Jc2, 0�1 fm ;:; range of the quark-quark interaction ;:; 0�25 fm. The hadrons are described by a relativistic independent quark model using the Dirac equation with a potential energy term for the effective interaction.

scholarly journals Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Guillem Domènech ◽  
Mark Goodsell ◽  
Christof Wetterich
Keyword(s):  
Quantum Gravity ◽  
Top Quark ◽  
Quark Mass ◽  
Scalar Potential ◽  
Planck Scale ◽  
Neutrino Masses ◽  
Top Quark Mass ◽  
Vacuum Stability ◽  
Intermediate Scale ◽  
Yukawa Couplings

Abstract A general prediction from asymptotically safe quantum gravity is the approximate vanishing of all quartic scalar couplings at the UV fixed point beyond the Planck scale. A vanishing Higgs doublet quartic coupling near the Planck scale translates into a prediction for the ratio between the mass of the Higgs boson MH and the top quark Mt. If only the standard model particles contribute to the running of couplings below the Planck mass, the observed MH∼ 125 GeV results in the prediction for the top quark mass Mt∼ 171 GeV, in agreement with recent measurements. In this work, we study how the asymptotic safety prediction for the top quark mass is affected by possible physics at an intermediate scale. We investigate the effect of an SU(2) triplet scalar and right-handed neutrinos, needed to explain the tiny mass of left-handed neutrinos. For pure seesaw II, with no or very heavy right handed neutrinos, the top mass can increase to Mt ∼ 172.5 GeV for a triplet mass of M∆ ∼ 108GeV. Right handed neutrino masses at an intermediate scale increase the uncertainty of the predictions of Mt due to unknown Yukawa couplings of the right-handed neutrinos and a cubic interaction in the scalar potential. For an appropriate range of Yukawa couplings there is no longer an issue of vacuum stability.

Properties of strangelets at zero temperature in a new quark mass confinement model

2014 ◽  
Vol 23 (03) ◽  
pp. 1450013 ◽  
Author(s):  
Shiwu Chen ◽  
Qin Li ◽  
Jianfeng Xu ◽  
Li Gao ◽  
Chengjun Xia
Keyword(s):  
Quark Model ◽  
Quark Mass ◽  
Present Model ◽  
Baryon Number ◽  
Zero Temperature ◽  
Gluon Exchange ◽  
The Stability ◽  
Stable Radius ◽  
Confinement Model

We investigate the properties of strangelets at zero temperature with a new quark model in which the linear confinement and one-gluon-exchange (OGE) interactions are integrated as a whole. The charge, parameters dependence and the stability of strangelets are discussed. Our results showed that the OGE interaction lowers the energy of a strangelet, and consequently makes its stable radius smaller than that in the case of not including this interaction, and less than that of a nucleus with the same baryon number. Therefore, the strangelet in the present model has more chance to be absolutely stable.

SUBSTRUCTURE EFFECT ON ρ-ω MIXING IN CHARGE-SYMMETRY VIOLATION

1992 ◽  
Vol 07 (32) ◽  
pp. 3037-3043 ◽  
Author(s):  
T. GOLDMAN ◽  
J.A. HENDERSON ◽  
A.W. THOMAS
Keyword(s):  
Symmetry Breaking ◽  
Quark Model ◽  
Quark Mass ◽  
Mass Shell ◽  
Mass Difference ◽  
Charge Symmetry Breaking ◽  
Symmetry Violation ◽  
Charge Symmetry ◽  
A Charge ◽  
Simple Quark Model

In generating a charge-symmetry breaking potential using ρ-ω mixing it is usually assumed that the mixing amplitude is constant (at the on-mass-shell value). Since the exchanged meson is actually far off-shell one must question the validity of this assumption. By constructing a simple quark model in which the mixing is generated by the u-d quark mass difference, we find that the assumption seems to be a very poor one.

scholarly journals NONPERTURBATIVE SOLUTIONS IN THE ELECTROWEAK THEORY WITH $\bar t t$ CONDENSATE AND THE t-QUARK MASS

2011 ◽  
Vol 26 (29) ◽  
pp. 4945-4958 ◽  
Author(s):  
BORIS A. ARBUZOV ◽  
IVAN V. ZAITSEV
Keyword(s):  
Satisfactory Agreement ◽  
Quark Mass ◽  
Effective Interaction ◽  
Electroweak Interaction ◽  
Higgs Doublet ◽  
Bound State ◽  
Heavy Quarks ◽  
Spontaneous Generation ◽  
Composite Higgs ◽  
Compensation Principle

We apply Bogoliubov compensation principle to the gauge electroweak interaction. The nontrivial solution of compensation equations for anomalous three-boson gauge invariant effective interaction uniquely defines its form-factor and parameters of the theory including value of gauge electroweak coupling [Formula: see text] in satisfactory agreement with the experimental value. A possibility of spontaneous generation of effective four-fermion interaction of heavy quarks is demonstrated. This interaction defines an equation for a scalar bound state of heavy quarks which serve as a substitute for the elementary scalar Higgs doublet. As a result we calculate the t-quark mass mt = 177 GeV in satisfactory agreement with the experimental value. The results strongly support idea of [Formula: see text] condensate as a source of the electroweak symmetry breaking. The approach predicts heavy composite Higgs scalar MH ≃ 1800 GeV .

Dirac particle in electric field with confining scalar potential on (anti)-de Sitter background

2018 ◽  
Vol 33 (34) ◽  
pp. 1850202 ◽  
Author(s):  
N. Messai ◽  
B. Hamil ◽  
A. Hafdallah
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Electric Field ◽  
Scalar Potential ◽  
Dirac Particle ◽  
Wave Functions ◽  
De Sitter ◽  
Sitter Background ◽  
Position Representation

In this paper, we study the (1 + 1)-dimensional Dirac equation in the presence of electric field and scalar linear potentials on (anti)-de Sitter background. Using the position representation, the energy spectrum and the corresponding wave functions are exactly obtained.

SOLUTION OF THE DIRAC EQUATION WITH POSITION-DEPENDENT MASS IN A COULOMB AND SCALAR FIELDS IN A CONICAL SPACETIME

2013 ◽  
Vol 28 (31) ◽  
pp. 1350137 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
V. B. BEZERRA ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Cosmic String ◽  
Relativistic Particle ◽  
Energy Levels ◽  
Scalar Potential ◽  
Scalar Fields ◽  
The Self ◽  
Dependent Mass ◽  
Scalar Potentials ◽  
Position Dependent Mass

We consider the problem of a relativistic particle with position-dependent mass in the presence of a Coulomb and a scalar potentials in the background spacetime generated by a cosmic string. The scalar potential arises from the self-interaction potential which is induced by the conical geometry of the spacetime under consideration. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle. The behavior of the energy levels on the parameters associated with the presence of the cosmic string and with the fact that the mass of the particle depends on its position is also analyzed.

EXACT SOLUTIONS OF DIRAC EQUATION FOR A NEW SPHERICALLY ASYMMETRICAL SINGULAR OSCILLATOR

2010 ◽  
Vol 25 (33) ◽  
pp. 2849-2857 ◽  
Author(s):  
GUO-HUA SUN ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Vector Potential ◽  
State Energy ◽  
Energy Levels ◽  
Scalar Potential ◽  
Bound State ◽  
Wave Functions ◽  
Bound State Energy ◽  
Exact Bound ◽  
Spinor Wave

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

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