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 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 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.

Mass spectra of heavy baryons in the relativistic quark model

2009 ◽  
Vol 72 (1) ◽  
pp. 178-183 ◽  
Author(s):  
D. Ebert ◽  
R. N. Faustov ◽  
V. O. Galkin
Keyword(s):  
Quark Model ◽  
Mass Spectra ◽  
Relativistic Quark Model ◽  
Heavy Baryons

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.

scholarly journals CHARMED (70, 1-) BARYON MULTIPLET

2008 ◽  
Vol 17 (04) ◽  
pp. 585-610 ◽  
Author(s):  
S. M. GERASYUTA ◽  
E. E. MATSKEVICH
Keyword(s):  
Experimental Data ◽  
Dispersion Relation ◽  
Approximate Solutions ◽  
Negative Parity ◽  
Relativistic Quark Model ◽  
Charmed Baryons ◽  
Charmed Baryon ◽  
Calculated Mass ◽  
The Masses ◽  
Good Agreement

The masses of negative parity (70, 1-) charmed nonstrange baryons are calculated in the relativistic quark model. The relativistic three-quark equations of the (70, 1-) charmed baryon multiplet are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The calculated mass values of the (70, 1-) charmed baryons are in good agreement with the experimental data.

scholarly journals Coupling Hadron-Hadron Thresholds within a Chiral Quark Model Approach

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 279
Author(s):  
Pablo G. Ortega ◽  
David R. Entem
Keyword(s):  
Quark Model ◽  
Heavy Meson ◽  
Past Century ◽  
Chiral Quark Model ◽  
Hadron Spectroscopy ◽  
Decay Properties ◽  
Heavy Hadron ◽  
The Masses ◽  
Meson States ◽  
Special Relevance

Heavy hadron spectroscopy was well understood within the naive quark model until the end of the past century. However, in 2003, the X(3872) was discovered, with puzzling properties difficult to understand in the simple naive quark model picture. This state made clear that excited states of heavy mesons should be coupled to two-meson states in order to understand not only the masses but, in some cases, unexpected decay properties. In this work, we will give an overview of a way in which the naive quark model can be complemented with the coupling to two hadron thresholds. This program has been already applied to the heavy meson spectrum with the chiral quark model, and we show some examples where thresholds are of special relevance.

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 DIQUARKS AND PENTAQUARK NATURE

2006 ◽  
Vol 15 (01) ◽  
pp. 87-99
Author(s):  
S. M. GERASYUTA ◽  
V. I. KOCHKIN
Keyword(s):  
Dispersion Relation ◽  
Mass Spectra ◽  
Negative Parity ◽  
The Masses ◽  
S Quarks

The relativistic five-quark equations are found in the framework of the dispersion relation technique. 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 of the nucleon and the Ξ–– pentaquarks. The mass spectra of the lowest pentaquarks with the [Formula: see text] are calculated. The mass values of the positive and negative parity pentaquarks are determined by the mixing of both 0+ and 1+ diquarks.

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