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Jialun Ping

Publications and source records attributed to Jialun Ping.

At least 145 records · Page 8Linked to original sources

Baryonia and near-threshold enhancements

The baryon-antibaryon spectrum consisting of strange, charm and bottom quarks is studied in the color flux-tube model with a multi-body confinement interaction. Numerical results indicate that many low-spin baryon-antibaryon states can form compact hexaquark states and are stable against the decay into a baryon and an antibaryon. The multi-body confinement interaction as a binding mechanism plays an important role in the formation of the states. They can be searched in the $e^+e^-$ annihilation and charmonium or bottomonium decay if they really exist. The newly reported states, X(1835), X(2370), Y(2175), Y(4360) and Y_b(10890), may be interpreted as $N\bar{N}$, $Δ\barΔ$, $Λ\barΛ$, $Λ_c\barΛ_c$ and $Λ_b\barΛ_b$ states, respectively.

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QCD quark cyclobutadiene and light tetraquark spectrum

The QCD quark cyclobutadiene (ring-like), a new color structure of tetraquark system, is proposed and studied in the flux tube model with multi-body confinement potential. The QCD quark cyclobutadiene and other flux tube structures of tetraquark states have similar energies and they can be regarded as QCD isomeric compounds. The light tetraquark spectra ($u, d, s$ only) with ring-like and diquark-antidiquark structures are calculated in the flux tube model. The results show that many experimental states have the masses close to the calculated values if they are taken as tetraquark states. The isotensor states with $J^{PC}=1^{--}$ and $J^{PC}=2^{++}$ are studied and predicted that the masses are around 1500 MeV. The multi-body interaction plays a important role to reduce the energy of the multiquark state.

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X(1835), X(2120) and X(2370) in a flux tube model

Nonstrange baryonium spectrum is systematically studied by using the Gaussian expansion method in a flux tube model with the six-body confinement potential. All the model parameters are fixed by baryon properties, so the baryonium calculation is parameter-free. We find that X(1835) and X(2370), which are observed in the radiative decay of $J/ψ$ by BES collaboration, can be described as $N_8\bar{N}_8$ and $Δ_8\barΔ_8$ bound states with quantum numbers $I^GJ^{PC}=0^+0^{-+}$, respectively, such bound states should be color confinement resonances with three-dimensional configurations similar to dumbbell, however, X(2120) can not be accommodated in our model.

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Possible interpretation of the $Z_b$(10610) and $Z_b$(10650) in a chiral quark model

Motivated by the two charged bottomonium-like resonances $Z_b$(10610) and $Z_b$(10650) newly observed by the Belle collaboration, the possible molecular states composed of a pair of heavy mesons, $B\bar{B}, B\bar{B}^*, B^*\bar{B}^*, B_s\bar{B}$, etc (in S-wave), are investigated in the framework of chiral quark models by the Gaussian expansion method. The bound states $B\bar{B}^*$ and $B^*\bar{B}^*$ with quantum numbers $I(J^{PC})=1(1^{+-})$, which are good candidates for the $Z_b(10610)$ and $Z_b(10650)$ respectively, are obtained. Other three bound states $B\bar{B}^*$ with $I(J^{PC})=0(1^{++})$, $B^*\bar{B}^*$ with $I(J^{PC})=1(0^{++}), 0(2^{++})$ are predicted. These states may be observed in open-bottom or hidden-bottom decay channel of highly excited $Υ$. When extending directly the quark model to the hidden color channel of the multi-quark system, more deeply bound states are found. Future experimental search of those states will cast doubt on the validity of applying the chiral constituent quark model to the hidden color channel directly.

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Study of $p\barΛ$ and $p\barΣ$ systems in constituent quark models

The $p\barΛ$ systems with J=0 and J=1 are dynamically investigated within the framework of two constituent quark models: the chiral quark model and the quark delocalization color screening model. The model parameters are taken from our previous work, which gave a good description of the proton-antiproton S-wave elastic scattering cross section experimental data. The $p\barΛ$ elastic scattering processes with coupling to $p\barΣ$ state are studied. The results show that, there is no s-wave bound state as indicated by an enhancement near the threshold of $p\barΛ$ in $J/ψ$ decay. However, a $IJ = {1/2}0$ $p\barΣ$ resonance state is given in the quark delocalization color screening model.

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X(1835), X(2120), X(2370) and $η(1760)$ in chiral quark model

By analyzing the meson spectra obtained in the constituent quark model, we find that the pseudoscalar mesons $η'(2^1S_0)$, $η(4^1S_0)$, $η'(3^1S_0)$ and $η'(4^1S_0)$ are the possible candidates of $η(1760)$, X(1835), X(2120) and X(2370). The strong decay widths of these pseudoscalars to all the possible decay modes are calculated within the framework of the $^3P_0$ model. Although the total width of $η'(2^1S_0)$ is compatible with the experimental value of BES for $η(1760)$, the partial decay width to $ωω$ is too small, which is not consistent with the result of BES. If the state X(1835) is interpreted as $η(4^1S_0)$, the total decay width is compatible with the experimental data, and the main decay modes will be $πa_0(980)$ and $πa_0(1450)$, which needs to be checked. The assignment of X(2120) and X(2370) to $η'(3^1S_0)$ and $η'(4^1S_0)$ is also disfavored in the present calculation because of the incompatibility of the decay widths.

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The effect of hidden color channels on nucleon-nucleon interaction in quark model

In the framework of constituent quark model, the effect of hidden color channels on the nucleon-nucleon ($NN$) interaction is studied. By adjusting the color confinement strength between the hidden color channels and color singlet channels and/or between the hidden color channels and hidden color channels, the experimental data of $S$ to $I$ partial-wave phase shifts of $NN$ scattering can be fitted well. The results show that the hidden color channel coupling might be important in producing the intermediate-range attraction of $NN$ interaction. The deuteron properties and dibaryon candidates have also been studied with this model.

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Dynamical study of the $X$(3915) as a molecular $D^*\bar{D^*}$ state in a quark model

Considering the coupling of color $1 \otimes 1$ and $8 \otimes 8$ structures, we calculate the energy of the newly observed $X$(3915) as $S-$wave $D^*\bar{D^*}$ state in the Bhaduri, Cohler, and Nogami quark model by the Gaussian Expansion Method. Due to the color coupling, the bound state of $D^*\bar{D^*}$ with $J^{PC}=0^{++}$ is found, which is well consonant with the experimental data of the $X$(3915). The bound state of $B^*\bar{B^*}$ with $J^{PC}=0^{++}$ and $2^{++}$ are also predicted in this work.

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Are the $X$(4160) and $X$(3915) charmonium states?

Inspired by the newly observed $X$(4160) and $X$(3915) states, we analyze the mass spectrum of these states in different quark models and calculate their strong decay widths by the $^3P_0$ model. According to the mass spectrum of charmonium states predicted by the potential model, the states $χ_0(3^3P_0), χ_1(3^3P_1), η_{c2}(2^1D_2), η_c(4^1S_0)$ all can be candidates for the $X$(4160). However, only the decay width of the state $η_{c2}(2^1D_2)$ in our calculation is in good agreement with the data reported by Belle and the decay of $η_{c2}(2^1D_2)\to D\bar{D}$, which is not seen in experiment, is also forbidden. Therefore, it is reasonable to interpret the charmonium state $η_{c2}(2^1D_2)$ as the state X(4160). For the state X(3915), although the mass of $χ_0(2^3P_0)$ is compatible with the experimental value, the calculated strong decay width is much larger than experimental data. Hence, the assignment of X(3915) to charmonium state $χ_0(2^3P_0)$ is disfavored in our calculation.

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The effect of hidden color channels on Nucleon-Nucleon interaction

This letter reports the nucleon-nucleon($NN$) interaction obtained from multi-channel, including hidden color channels, coupling quark model calculation. The results show that the hidden color channels coupling provides the intermediate range attraction which is usually assumed to be due to multi-$π$ or $σ$ meson exchange and that the short and intermediate range $NN$ interaction can be described solely by the fundamental quark-gluon degree of freedom of QCD.

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Systematic study of pentaquark states: $qqq-q\bar{q}$ configuration

Group theoretic method for the systematic study of five-quark states with meson-baryon ($q\bar{q}-q^3$) configuration is developed. The calculation of matrix elements of many body Hamiltonian is simplified by transforming the physical bases (meson-baryon quark cluster bases) to symmetry bases (group chain classified bases), where the fractional parentage expansion method can be used. Three quark models, the naive Glashow-Isgur model, Salamanca chiral quark model and quark delocalization color screening model, are used to show the general applicability of the method and general results of constituent quark models for five-quark states are given. The method can also be useful in the calculation of meson-baryon scattering and the study of the five-quark components effect in baryon structure. The physical contents of different model configurations for the same multi-quark system can also be compared through the transformation between different physical bases to the same set of symmetry bases.

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Study on $N\bar{N}$ $S$-wave Elastic Cross Section and Possible Bound States Within a Constituent Quark Model

In the framework of a chiral constituent quark model, considering the contributions of $π$ annihilation and one-gluon annihilation, the proton-antiproton $S$-wave elastic scattering cross section experimental data can be reproduced by adjusting properly one-gluon annihilation coupling constant. Meanwhile, using the fixed model parameter, we do a dynamical calculation for all possible $S$-wave nucleon-antinucleon states, the results show that, there is no $S$-wave bound state as indicated by a strong enhancement at threshold of $p\bar{p}$ in $J/ψ$ and $B$ decays.

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Quantum chromodynamics quark benzene

A six-quark state with the benzene-like structure is proposed and studied based on color string model. The calculation with the quadratic confinement show that such structure has the lowest energy among the various hidden color six-quark structures proposed so far. Its possible effect on $NN$ scattering is discussed.

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Systematic study of multi-quark states I. qq-qq-\bar{q} configuration

Group theoretic method for the systematic study of multi-quark states is developed. The calculation of matrix elements of many body Hamiltonian is simplified by transforming the physical bases (quark cluster bases) to symmetry bases (group chain classified bases), where the fractional parentage expansion method can be used. Five quark system is taken as example in this study. The Jaffe-Wilczek $qq-qq-\bar{q}$ configuration is chosen as one of examples to construct the physical bases and the transformation coefficients between physical bases and symmetry ones are shown to be related to the ${SU}_{mn}\supset{SU}_m\times{SU}_n$ isoscalar factors and a complete transformation coefficients table is given. The needed isoscalar factors and fractional parentage coefficients had been calculated with our new group representation theory and published before. Three quark models, the naive Glashow-Isgur, Salamanca and quark delocalization color screening, are used to show the general applicability of the new multi-quark calculation method and general results of constituent quark models for five-quark states are given.

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Spectroscopy of $\rm{q}^3\bar{\rm{q}}^3$-States in Quark Model and Baryon-Antibaryon Enhancements

We study the mass spectrum of the $\rm{q}^3\bar{\rm{q}}^3$ mesons both from the quark model with triquark correlations and from common quark model with colormagnetic interactions and with relative S-waves between quarks. Two cluster configurations $(\rm{q}^3)-(\bar{\rm{q}}^3)$ and $(\rm{q}^2\bar{\rm{q}})-(\rm{q}\bar{\rm{q}}^2)$ are considered. In the spectrum we find rather stable states which have the same quantum number with particle resonances which are corresponding to the $p\bar{p}$ enhancement, $p\barΛ$ enhancement and $Λ\barΛ$ enhancement with spin-$\mathbf{0}$ or $\mathbf{1}$. This imply these enhancements are NOT experimental artifacts. The color-spin-flavor structures of $p\bar{p}$, $p\barΛ$, and $Λ\barΛ$ enhancements are revealed. The existence of spin-$\mathbf{1}$ $Λ\barΛ, p\barΛ, p\bar{p}$ enhancements is predicted.

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Understanding penta quark with various quark models

The pentaquark state recently discovered has been studied with three quark models which either fit the nucleon spin structure or the $NN$ scattering. A minimum $Θ^+$ mass of 1620 MeV is obtained both for the ${1/2}^\pm$ state. The mixing of various color structure configurations, which would reduce the mass of the penta-quark state, should be taking into account in the calculation of penta-quark mass.

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Influence of tensor interactions on masses and decay widths of dibaryons

The influence of gluon and Goldstone boson induced tensor interactions on the dibaryon masses and D-wave decay widths has been studied in the quark delocalization, color screening model. The effective S-D wave transition interactions induced by gluon and Goldstone boson exchanges decrease rapidly with increasing strangeness of the channel. The tensor contribution of K and $η$ mesons is negligible in this model. There is no six-quark state in the light flavor world studied so far that can become bound by means of these tensor interactions besides the deuteron. The partial D-wave decay widths of the $IJ^p={1/2}2^+$ N$Ω$ state to spin 0 and 1 $ΛΞ$ final states are 12.0 keV and 21.9 keV respectively. This is a very narrow dibaryon resonance that might be detectable in relativistic heavy ion reactions by existing RHIC detectors through the reconstruction of the vertex mass of the decay product $ΛΞ$ and by the COMPAS detector at CERN or at JHF in Japan and the FAIR project in Germany in the future.

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