scholarly journals Мeson resonances in the relativistic quark model

2021 ◽  
Vol 57 (1) ◽  
pp. 46-63
Author(s):  
М. N. Sergeenko
Keyword(s):  
Quark Model ◽  
D Mesons ◽  
Particle System ◽  
Scalar Potential ◽  
Bound State ◽  
Scalar Function ◽  
Relativistic Quark Model ◽  
Lorentz Scalar ◽  
Calculation Results ◽  
The Masses

In this paper, the relativistic quark model is developed for the study of mesons and resonances as quasi-bound quark states. A classic analogue of the spinless Salpeter equation is analyzed. It is shown that the potential for a conservative isolated two-particle system is the Lorentz-scalar function of the distance between quarks and can be included into the particle mass, which leads to the position-dependent quark mass. The funnel-type potential is modified with taking into account the dependence of the strong coupling αS on the distance. The concept of free motion of particles in a bound state is developed. The eigenvalue problem for the bound state is defined by the relativistic quasiclassical wave equation for the scalar potential. Two exact asymptotic solutions of the equation for the Coulomb and linear parts of the potential are obtained analytically; on this basis, the complex-mass formula for mesons and resonances is written. The efficiency of the model is demonstrated by comparison of the calculation results with the data for the masses of ρ and D mesons. 

scholarly journals MASSES OF LIGHT MESONS IN THE RELATIVISTIC QUARK MODEL

2005 ◽  
Vol 20 (25) ◽  
pp. 1887-1893 ◽  
Author(s):  
D. EBERT ◽  
R. N. FAUSTOV ◽  
V. O. GALKIN
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Relativistic Quark Model ◽  
S Wave ◽  
Confining Potential ◽  
Relativistic Formula ◽  
The Masses ◽  
S Quarks

The masses of the S-wave mesons consisting of the light (u, d, s) quarks are calculated within the constituent quark model. The relativistic Schrödinger-like equation with a confining potential is numerically solved for the complete relativistic [Formula: see text] potential including both spin-independent and spin-dependent terms. The obtained masses of the ground state π, ρ, K, K* and ϕ mesons and their first radial excitations are in a reasonably good overall agreement with experimental data.

scholarly journals RELATIVISTIC QUARK MODEL AND PENTAQUARK SPECTROSCOPY

2003 ◽  
Vol 12 (06) ◽  
pp. 793-807 ◽  
Author(s):  
S. M. GERASYUTA ◽  
V. I. KOCHKIN
Keyword(s):  
Dispersion Relation ◽  
Quark Model ◽  
Mass Spectra ◽  
Relativistic Quark Model ◽  
The Masses ◽  
Meson States

Relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the low-lying pentaquarks are calculated under the condition that flavor SU(3) symmetry holds. The poles of the five-quark amplitudes determine the masses of the lowest pentaquarks. The mass spectra of pentaquarks which contain only light quarks are calculated. The calculation of pentaquark amplitudes estimates the contributions of three subamplitudes: molecular subamplitude BM, Mqqq subamplitude and [Formula: see text] subamplitude. The main contributions to the pentaquark amplitude are determined by the subamplitudes, which include the meson states M.

scholarly journals WIDTH OF θ-PENTAQUARKS IN RELATIVISTIC QUARK MODEL

2005 ◽  
Vol 20 (24) ◽  
pp. 1813-1821
Author(s):  
S. M. GERASYUTA ◽  
V. I. KOCHKIN
Keyword(s):  
Quark Model ◽  
Dispersion Relations ◽  
Relativistic Quark Model ◽  
Relativistic Generalization ◽  
The Masses ◽  
S Quarks

The relativistic generalization of Faddeev–Yakubovsky approach is constructed in the form of the dispersion relations. The five-quark amplitudes for the low-lying pentaquarks including the u-, d-, s-quarks are calculated. The poles of these amplitudes determine the masses and widths of θ-pentaquarks.

THE STUDY OF DIBARYON SYSTEMS WITH STRANGENESS ON CHIRAL QUARK MODEL

2005 ◽  
Vol 20 (01) ◽  
pp. 69-77
Author(s):  
HOURONG PANG ◽  
JIALUN PING ◽  
XIAOHUA WU
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Root Mean Square ◽  
Bound State ◽  
Group Method ◽  
Chiral Quark Model ◽  
Mean Square ◽  
Narrow Resonance ◽  
The Masses

We expand Salamanca SU (2) chiral quark model to SU (3) one and calculate promising dibaryon candidates with strangeness S=-3,-6 in the framework of resonating group method. We find that, besides ΩΩ, the mass of NΩ state is about 23–38 MeV lower than its threshold, it might appear as a bound state or a narrow resonance. The effect of K and η exchanges on the masses of strangeness and nonstrangeness systems has been studied and found to be negligible for nonstrangeness systems. However this effect brings some changes (about tens of MeV) on the masses of strangeness systems. We have also studied the sensitivities of binding energy and root mean square radius to the mass of s-quark.

scholarly journals Masses of Charmed and Bottom Tetraquarks in the Non-Relativistic Quark Model

2018 ◽  
Vol 46 ◽  
pp. 1860084 ◽  
Author(s):  
Zahra Ghalenovi
Keyword(s):  
Wave Function ◽  
Quark Model ◽  
Bound States ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Relativistic Quark Model ◽  
Scalar State ◽  
State Formula ◽  
The Masses ◽  
Scalar Resonances

Heavy tetraquark states are studied within the diquark-antidiquark picture in the framework of a simple constituent quark model. Considering hyperfine spin and isospin interactions, we predict the masses of the scalar diquarks and of the open and hidden charmed and bottom scalar tetraquarks. Our results indicate the scalar resonances [Formula: see text] and [Formula: see text] have a sizable tetraquark amount in their wave function, while it turns out the scalar state [Formula: see text] should not be considered as being predominately diquark-antidiquark bound states.

scholarly journals Bottom (70,1-) baryon multiplet

2020 ◽  
Vol 164 ◽  
pp. 01008
Author(s):  
Elena Matskevich
Keyword(s):  
Dispersion Relation ◽  
Quark Model ◽  
Approximate Solutions ◽  
Negative Parity ◽  
Relativistic Quark Model ◽  
Systems Of Equations ◽  
The Masses ◽  
Bottom Baryon

The aim of this paper is to derive systems of equations for the amplitudes for the case of negative parity (70,1-) bottom nonstrange baryons and to calculate the masses of these particles. In order to calculate masses of (70,1-) bottom baryons we use the relativistic quark model. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived in the framework of the dispersion relation technique. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The masses of 21 baryons are predicted.

scholarly journals Heavy Tetraquarks in the Relativistic Quark Model

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 94
Author(s):  
Rudolf N. Faustov ◽  
Vladimir O. Galkin ◽  
Elena M. Savchenko
Keyword(s):  
Experimental Data ◽  
Form Factor ◽  
Mass Spectrum ◽  
Quark Model ◽  
Detailed Comparison ◽  
Lhcb Collaboration ◽  
Relativistic Quark Model ◽  
Quasipotential Approach ◽  
The Masses ◽  
Gluon Interaction

We give a review of the calculations of the masses of tetraquarks with two and four heavy quarks in the framework of the relativistic quark model based on the quasipotential approach and QCD. The diquark-antidiquark picture of heavy tetraquarks is used. The quasipotentials of the quark-quark and diquark-antidiquark interactions are constructed similarly to the previous consideration of mesons and baryons. Diquarks are considered in the colour triplet state. It is assumed that the diquark and antidiquark interact in the tetraquark as a whole and the internal structure of the diquarks is taken into account by the calculated form factor of the diquark-gluon interaction. All parameters of the model are kept fixed from our previous calculations of meson and baryon properties. A detailed comparison of the obtained predictions for heavy tetraquark masses with available experimental data is given. Many candidates for tetraquarks are found. It is argued that the structures in the di-J/ψ mass spectrum observed recently by the LHCb collaboration can be interpreted as ccc¯c¯ tetraquarks.

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