Two-body strong decay of light mesons with Gaussian expansion method

2014 ◽  
Vol 29 (30) ◽  
pp. 1450175 ◽  
Author(s):  
Xiaoyun Chen ◽  
Zhaozhao Yan ◽  
Jialun Ping
Keyword(s):  
Experimental Data ◽  
Harmonic Oscillator ◽  
Quark Model ◽  
Expansion Method ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Strong Decay ◽  
Exotic States ◽  
Gaussian Expansion Method ◽  
Normal States

In this paper, we survey the radial and orbital excitations of I = 0 and [Formula: see text] systems anticipated up to 2.0 GeV in the framework of the chiral quark model. The Schrödinger equation is solved by using Gaussian expansion method. And using the wave functions obtained, instead of the simple harmonic oscillator wave functions, we study systematically the two-body strong decay (limited to S + S modes) of the systems. By comparing with the experimental data, we try to identify the normal states and exotic states.

scholarly journals The Genuine Resonance of Full-Charm Tetraquarks

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 155
Author(s):  
Xiaoyun Chen
Keyword(s):  
Quark Model ◽  
Bound States ◽  
Expansion Method ◽  
Chiral Quark Model ◽  
Stabilization Method ◽  
Scaling Method ◽  
Resonance States ◽  
Gaussian Expansion Method ◽  
Color Structure ◽  
Quantum Numbers

In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method. In this calculation, two structures, meson-meson and diquark–antidiquark, as well as their mixing with all possible color-spin configurations, are considered. The results show that no bound states can be formed. However, resonances are possible because of the color structure. The genuine resonances are identified by the stabilization method (real scaling method). Several resonances for the full-charm system are proposed, and some of them are reasonable candidates for the full-charm states recently reported by LHCb.

Constituent quark model study of exotic meson states

2014 ◽  
Vol 29 ◽  
pp. 1460227 ◽  
Author(s):  
Youchang Yang ◽  
Jialun Ping ◽  
Chengrong Deng ◽  
Meng Wan
Keyword(s):  
Experimental Data ◽  
Quark Model ◽  
Constituent Quark ◽  
Expansion Method ◽  
Constituent Quark Model ◽  
Babar Collaboration ◽  
Exotic Meson ◽  
Exotic States ◽  
Model Study ◽  
Meson States

Using high precision numerical method based on Gaussian expansion method for few-body systems, we studied the spectra of possible exotic meson states composed of [Formula: see text] (Q = c, b, and q = u, d, s) in non-relativistic constituent quark model. Some newly released experimental data by the BES, Belle, BaBar Collaboration can be interpreted in our calculation. Several possible exotic states are also predicted.

scholarly journals MASS SPECTRUM OF THE JP=1/2- AND 3/2- PENTAQUARK ANTIDECUPLETS IN THE PERTURBATIVE CHIRAL QUARK MODEL

2005 ◽  
Vol 14 (07) ◽  
pp. 995-1015 ◽  
Author(s):  
T. INOUE ◽  
V. E. LYUBOVITSKIJ ◽  
TH. GUTSCHE ◽  
AMAND FAESSLER
Keyword(s):  
Mass Spectrum ◽  
Quark Model ◽  
Single Particle ◽  
Ground State ◽  
Bound State ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Confining Potential ◽  
Full Mass Spectrum ◽  
Basic Configuration

We study the recently discovered Θ+ baryon in the context of the perturbative chiral quark model. The basic configuration of the Θ+ is a pentaquark bound state, where the single particle wave functions are the ground state solutions of a confining potential. We classify the resulting pentaquark multiplets as the JP=1/2- and 3/2- flavor SU (3) antidecuplet. The full mass spectrum of the multiplets is determined by including the meson and gluon cloud contributions, which induce flavor SU (3) breaking. The resulting 3/2- antidecuplet is about 185 MeV heavier than the 1/2- one, mainly because of the semi-perturbative gluon effects. We assign the observed Θ+ baryon as a member of the 1/2- antidecuplet and discuss in particular its relation to the recent experimental signal for a Ξ-- baryon.

Schalenmodellrechnungen beim Kern O18 mit geschwindigkeitsabhängigen Zwei-Teilchen-Potentialen

1967 ◽  
Vol 22 (4) ◽  
pp. 415-421
Author(s):  
Hans Grote
Keyword(s):  
Experimental Data ◽  
Harmonic Oscillator ◽  
Shell Model ◽  
Interaction Potential ◽  
Ground State ◽  
Wave Functions ◽  
Absolute Position ◽  
Model Calculations ◽  
The Core ◽  
Free Parameters

The energies of the low lying levels and the absolute position of the ground state of the nucleus O18 are calculated using five velocity-dependent potentials. The calculation is based on the shell model with two outer neutrons in the potential of the Ο16 core. The interaction potential as well as the core potential are fitted to experimental data, leaving no free parameters in the final result.The wave functions of the harmonic oscillator are used in each case of the five velocity-dependent potentials. An additional computation is carried out using one of these potentials and taking into account the perturbation of the wave functions. It turns out that, for satisfactory application of the velocity-dependent potentials in shell model calculations, this perturbation should be considered.

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.

LEPTONIC DECAY WIDTH OF VECTOR MESONS IN A FIELD-THEORETIC QUARK MODEL

1993 ◽  
Vol 08 (30) ◽  
pp. 2851-2858 ◽  
Author(s):  
A. R. PANDA ◽  
K. C. ROY
Keyword(s):  
Harmonic Oscillator ◽  
Quark Model ◽  
Constituent Quark ◽  
Leptonic Decay ◽  
Wave Functions ◽  
Heavy Flavor ◽  
Vector Mesons ◽  
Decay Constants ◽  
Quark Masses ◽  
Quark Field

We consider here the leptonic decay of vector mesons ρ, ω, ϕ, ψ and ϒ through one photon mechanism in the lowest order, and calculate their decay widths as well as the decay constants based on a field-theoretic quark model where the constituent quark field operators are described with an ansatz to satisfy equal time algebra and the translationally invariant hadron states are described with harmonic oscillator wave functions. With the harmonic oscillator radii for vector mesons and the constituent quark masses as used earlier in other investigations, the present calculations show a reasonable agreement with the experimental data in light as well as heavy flavor sectors, where available.

scholarly journals Investigation of $$\varXi _c^0$$ in a chiral quark model

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Xiaohuang Hu ◽  
Yue Tan ◽  
Jialun Ping
Keyword(s):  
Quark Model ◽  
Expansion Method ◽  
Invariant Mass Spectrum ◽  
Negative Parity ◽  
Lhcb Collaboration ◽  
Chiral Quark Model ◽  
Quantum Numbers ◽  
New States ◽  
Quark Structure ◽  
The Masses

AbstractRecently, three new states of $$\varXi _c^0$$ Ξ c 0 were observed in the invariant mass spectrum of $$\varLambda ^+_cK^-$$ Λ c + K - by LHCb collaboration. In this work, we use a chiral quark model to investigate these three exited states with the help of Gaussian expansion method both in three-quark structure and in five-quark structure with all possible quantum numbers $$IJ^P=\frac{1}{2}(\frac{1}{2})^-$$ I J P = 1 2 ( 1 2 ) - , $$\frac{1}{2}(\frac{3}{2})^-$$ 1 2 ( 3 2 ) - , $$\frac{1}{2}(\frac{5}{2})^-$$ 1 2 ( 5 2 ) - , $$\frac{3}{2}(\frac{1}{2})^-$$ 3 2 ( 1 2 ) - , $$\frac{3}{2}(\frac{3}{2})^-$$ 3 2 ( 3 2 ) - and $$\frac{3}{2}(\frac{5}{2})^-$$ 3 2 ( 5 2 ) - . The calculations shows that the masses of 2S and 1D states of $$\varXi _c$$ Ξ c are comparable to experimental results; In addition, the resonance states of five-quark configuration are possible candidates of these new states with negative parity by using the real scaling method and their decay width is also given.

scholarly journals sQq¯q¯ ( q=u , d ; Q=c , b ) tetraquarks in the chiral quark model

2021 ◽  
Vol 103 (7) ◽  
Author(s):  
Gang Yang ◽  
Jialun Ping ◽  
Jorge Segovia
Keyword(s):  
Quark Model ◽  
Chiral Quark Model

scholarly journals Structure of pentaquarks Pc+ in the chiral quark model

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
Gang Yang ◽  
Jialun Ping ◽  
Fan Wang
Keyword(s):  
Quark Model ◽  
Chiral Quark Model
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