arXiv subjects

Guo-Liang Yu

Publications and source records attributed to Guo-Liang Yu.

At least 37 records · Page 2Linked to original sources

arXiv2024

Analysis of the form factors of $B_c\rightarrow D^{()}$, $D_{s}^{()}$ and their nonleptonic decays

This article is devoted to calculating the form factors of $B_c \to D^{*}$, $B_c \to D$, $B_c \to D_s^{*}$ and $B_c \to D_s$ transitions in the framework of three-point QCD sum rules. At the QCD side, the contributions of $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle \langle g_{s}^{2}G^{2}\rangle$ are taken into account. With the obtained form factors, the decay widths and branching ratios of several two-body nonleptonic decay processes $B_c \to η_c D^{*}$, $η_c D$, $ J/ψD^{*}$, $ J/ψD$, $η_c D_s^{*}$, $η_c D_s$, $J/ψD_s^{*}$ and $J/ψD_s$ are predicted. These results about the form factors and decay properties of $B_c$ meson provide useful information for us to study the heavy-quark dynamics.

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arXiv2024

The ground states of hidden-charm tetraquarks and their radial excitations

Inspired by the great progress in the observations of charmonium-like states in recent years, we perform a systematic analysis about the ground states and the first radially excited states of $qc\bar{q}\bar{c}$ ($q$=$u/d$ and $s$) tetraquark systems. Their mass spectra, root mean square (r.m.s.) radii and radial density distributions are predicted within the framework of relativized quark model. By comparing with experimental data, some potential candidates for hidden-charm tetraquark states are suggested. For $qc\bar{q}\bar{c}$ ($q$=$u/d$) system, if $Z_{c}(3900)$ is supposed to be a compact tetraquark state with $J^{PC}=1^{+-}$, $Z(4430)$ can be interpreted as the first radially excited states of $Z_{c}(3900)$. Another broad structure $Z_{c}(4200)$ can also be explained as a partner of $Z_{c}(3900)$, and it arise from a higher state with $J^{PC}=1^{+-}$. In addition, theoretical predictions indicate that the possible assignments for $X(3930)$, $X(4050)$ and $X(4250)$ are low lying $0^{++}$ tetraquark states. As for the $sc\bar{s}\bar{c}$ system, $X(4140)$ and $X(4274)$ structures can be interpreted as this type of tetraquark states with $J^{PC}=1^{++}$, and $X(4350)$ can be described as a $sc\bar{s}\bar{c}$ tetraquark with $J^{PC}=0^{++}$. With regard to $qc\bar{s}\bar{c}$ ($q$=$u/d$) system, we find two potential candidates for this type of tetraquark, which are $Z_{cs}(4000)$ and $Z_{cs}(4220)$ structures. The measured masses of these two structures are in agreement with theoretical predictions for the $1^{+}$ state.

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arXiv2024

Systematic analysis of the form factors of $B_c\rightarrowη_c$, $J/ψ$ and corresponding weak decays

The form factors of $B_c\rightarrowη_c$ and $B_c\rightarrow J/ψ$ are analyzed in the framework of three-point QCD sum rules. In these analyses, the contributions of the vacuum condensate terms $\langle g_{s}^{2}GG\rangle$ and $\langle g_{s}^{3}GGGf\rangle$ are considered. In addition, the decay widths and branching ratios of several decay channels are obtained by using the calculated form factors. These decay processes include the nonleptonic decays of $B_c^- \to η_c π^-$, $η_c K^-$, $η_c ρ^-$, $η_c K^{*-}$, $B_c^- \to J/ψπ^-$, $J/ψK^-$, $J/ψρ^-$, $J/ψK^{*-}$, and the semileptonic decays of $B_c^- \to η_c \mathcal{l} \barν$, $B_c^- \to J/ψ\mathcal{l} \barν$. These results about the form factors and decay properties of $B_c$ meson provide useful information for us to study the heavy-quark dynamics and find new physics(NP) beyond Standard Model(SM).

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arXiv2024

Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons

In this article, we analyze the electromagnetic form factors of the vector heavy-light mesons to the pseudoscalar heavy-light mesons in the framework of three-point QCD sum rules, where the contributions of vacuum condensate terms $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle$ are considered. With these results, we also obtain the radiative decay widths of the vector heavy-light mesons and then compare our results with those of other collaboration's. The final results about the radiative decay widths are $Γ(D^{*0}\to D^{0}γ)=1.74^{+0.40}_{-0.37}$ keV, $Γ(D^{*+}\to D^{+}γ)=0.17^{+0.08}_{-0.07}$ keV, $Γ(D_{s}^{*}\to D_{s}γ)=0.029^{+0.009}_{-0.008}$ keV, $Γ(B^{*0}\to B^{0}γ)=0.018^{+0.006}_{-0.005}$ keV, $Γ(B^{*+}\to B^{+}γ)=0.015^{+0.007}_{-0.007}$ keV and $Γ(B^{*}_{s}\to B_{s}γ)=0.016^{+0.003}_{-0.005}$ keV.

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arXiv2024

Heavy quark dominance in orbital excitation of singly and doubly heavy baryons

A mechanism of the heavy quark dominance in the orbital excitation is proposed in this paper which is testified to be reasonable for singly and doubly heavy baryons. In the relativistic quark model, an analysis of the Hamiltonian figures out the mechanism that the excitation mode with lower energy levels is always associated with the heavy quark(s), and the splitting of the energy levels is suppressed by the heavy quark(s). So, the heavy quarks dominate the orbital excitation of singly and doubly heavy baryons. Furthermore, a physical understanding of this mechanism is given in a semi-classical way. Accordingly, the predicted mass spectra of singly and doubly heavy baryons confirm the rationality of this mechanism. In addition, an interesting consequence of this mechanism is that a heavy-light meson is more likely to be produced in the strong decay of the high-orbital excited states, which is supported by experiments. This mechanism is rooted in the breakdown of the mass symmetry. Therefore, it may be also valid for other multi-quark systems, such as the tetraquarks Qqqq and QQqq, or the pentaquarks Qqqqq and QQqqq.

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arXiv2023

Analysis of the strong vertices of $Σ_{c}ΔD^{}$ and $Σ_{b}ΔB^{}$ in QCD sum rules

In this work, we analyze the strong vertices $Σ_{c}ΔD^{*}$ and $Σ_{b}ΔB^{*}$ using the three-point QCD sum rules under the tensor structures $iε^{ρταβ}p_αp'_β$, $p^ρp'^τ$ and $p^ρp^τ$. We firstly calculate the momentum dependent strong coupling constants $g(Q^{2})$ by considering contributions of the perturbative part and the condensate terms $\langle\overline{q}q\rangle$, $\langle g_{s}^{2}GG \rangle$, $\langle\overline{q}g_{s}σGq\rangle$ and $\langle\overline{q}q\rangle^{2}$. By fitting these coupling constants into analytical functions and extrapolating them into time-like regions, we then obtain the on-shell values of strong coupling constants for these vertices. The results are $g_{1Σ_{c}ΔD^{*}}=5.13^{+0.39}_{-0.49}$ GeV$^{-1}$, $g_{2Σ_{c}ΔD^{*}}=-3.03^{+0.27}_{-0.35}$ GeV$^{-2}$, $g_{3Σ_{c}ΔD^{*}}=17.64^{+1.51}_{-1.95}$ GeV$^{-2}$, $g_{1Σ_{b}ΔB^{*}}=20.97^{+2.15}_{-2.39}$ GeV$^{-1}$, $g_{2Σ_{b}ΔB^{*}}=-11.42^{+1.17}_{-1.28}$ GeV$^{-2}$ and $g_{3Σ_{b}ΔB^{*}}=24.87^{+2.57}_{-2.82}$ GeV$^{-2}$. These strong coupling constants are important parameters which can help us to understand the strong decay behaviors of hadrons.

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arXiv2023

The strong vertices of bottom mesons $B$, $B^{*}$ and bottomonia $Υ$, $η_{b}$

In this article, the strong coupling constants of vertices $BBΥ$, $BB^{*}Υ$, $B^{*}B^{*}Υ$, $BB^{*}η_{b}$ and $B^{*}B^{*}η_{b}$ are analyzed in the framework of QCD sum rules. In this work, all possible off-shell cases and the contributions of vacuum condensate terms including $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle$ are considered. The momentum dependent strong coupling constants are first calculated and then are fitted into analytical functions $g(Q^{2})$ which are used to extrapolate into time-like regions to obtain the final values of strong coupling constants. The final results are $g_{BBΥ}=40.67^{+7.55}_{-4.20}$, $g_{BB^{*}Υ}=11.58^{+2.19}_{-1.09}$ GeV$^{-1}$, $g_{B^{*}B^{*}Υ}=57.02^{+5.32}_{-5.31}$, $g_{BB^{*}η_{b}}=23.39^{+4.74}_{-2.30}$ and $g_{B^{*}B^{*}η_{b}}=12.49^{+2.12}_{-1.35}$ GeV$^{-1}$. These strong coupling constants are important input parameters which reflect the dynamic properties of the interactions among the mesons and quarkonia.

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arXiv2023

The strong vertices of charmed mesons $D$, $D^{*}$ and charmonia $J/ψ$, $η_{c}$

In this work, the strong coupling constants of the vertices $DDJ/ψ$, $DD^{*}J/ψ$, $D^{*}D^{*}J/ψ$, $DD^{*}η_{c}$ and $D^{*}D^{*}η_{c}$ are calculated within the framework of the QCD sum rules. For each vertex, we analyze the momentum dependence of the coupling constants by considering all possible off-shell cases. In these analyses, we consider the contributions of the vacuum condensate terms $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle$. Then, the momentum dependent coupling constants are fitted into analytical functions $g(Q^2)$ and are extrapolated into time-like regions. The values of strong coupling constants are obtained by using on-shell conditions of the intermediate mesons($Q^2=-m^2$). The final results are as follows, $g_{DDJ/ψ}=5.01^{+0.58}_{-0.16}$, $g_{DD^{*}J/ψ}=3.55^{+0.20}_{-0.21}$GeV$^{-1}$, $g_{D^{*}D^{*}J/ψ}=5.10^{+0.59}_{-0.43}$, $g_{DD^{*}η_{c}}=3.68^{+0.39}_{-0.11}$ and $g_{D^{*}D^{*}η_{c}}=4.87^{+0.42}_{-0.40}$GeV$^{-1}$.

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arXiv2023

Systematic analysis of doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$

In this work, we perform a systematic study of the mass spectra, the root mean square(r.m.s.) radii and the radial density distributions of the doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$. The calculations are carried out in the frame work of Godfrey-Isgur (GI) relativized quark model, where the baryon is regarded as a real three-body system of quarks. Our results show that the excited energy of doubly charmed baryon with $ρ$-mode is lower than those of the $λ$-mode and $λ$-$ρ$ mixing mode, which indicates that the lowest state is dominated by the $ρ$-mode. According to this conclusion, we systematically investigate the mass spectra, the r.m.s. radii of the ground and excited states($1S\sim4S$, $1P\sim4P$, $1D\sim4D$, $1F\sim4F$ and $1G\sim4G$) with $ρ$-mode. Using the wave functions obtained from quark model, we also study the radial density distributions. Finally, with the predicated mass spectra, the Regge trajectories of $Ξ_{cc}$ and $Ω_{cc}$ in the ($J$,$M^{2}$) plane are constructed, and the slopes, intercepts are determined by linear fitting. It is found that model predicted masses fit nicely to the constructed Regge trajectories.

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arXiv2023

Strong decay properties of single heavy baryons $Λ_{Q}$, $Σ_{Q}$ and $Ω_{Q}$

Motivated by recent progresses in experiments in searching for the $Ω_{c}$ baryons, we systematically analyze the strong decay behaviors of single heavy baryons $Λ_{Q}$, $Σ_{Q}$ and $Ω_{Q}$. The two-body strong decay properties of $S$-wave, $P$-wave and some $D$-wave states are studied with the $^{3}P_{0}$ model. The results support assigning the recently observed $Ω_{c}(3185)$ and $Ω_{c}(3327)$ as the 2S($\frac{3}{2}^{+}$) and 1D($\frac{3}{2}^{+}$) states, respectively. In addition, the quantum numbers of many other experimentally observed baryons are also suggested according to their strong decays. Finally, some baryons which have good potentials to be observed in experiments are predicted and the possible decay channels for searching for these predicted states are also suggested.

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arXiv2023

Systematic analysis of single heavy baryons $Λ_{Q}$, $Σ_{Q}$ and $Ω_{Q}$

Motivated by great progresses in experiments in searching for the heavy baryons, we systematically analyze the mass spectra and root mean square radius of single heavy baryons $Λ_{Q}$, $Σ_{Q}$ and $Ω_{Q}$. The calculations of the mass spectra are carried out in the frame work of Godfrey-Isgur (GI) relativized quark model, where the baryon is regarded as a three-body system of quarks. Our results show that the mass of single heavy baryon with $λ$-mode is lower than those of the $ρ$-mode and $λ$-$ρ$ mixing mode, which indicates that the lowest state is dominated by the $λ$-mode. Basing on this research, we systematically calculate the mass spectra and the root mean square radius of the baryons with $λ$ excited mode. With these predicated mass spectra, the Regge trajectories in the ($J$,$M^{2}$) plane are constructed, and the slopes, intercepts of the Regge trajectories are obtained by linear fitting. It is found that all available experimental data are well reproduced by model predictions and fit nicely to the constructed Regge trajectories.

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arXiv2023

The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations

Inspired by recent progresses in observations of the fully charmed tetraquark states by LHCb, CMS, and ATLAS Collaborations, we perform a systematic study of the ground states and the first radial excitations of the $S$- and $P$-wave $\mathrm{cc}\bar{\mathrm{c}}\bar{\mathrm{c}}$ system. Their mass spectra, root mean square(r.m.s.) radii and radial density distributions are studied with the relativized quark model. The calculations show that there is no stable bound states for the full-charmed tetraquark states, and the r.m.s. radii of these tetraquark states are smaller than 1 fm. Our results support assigning X(6600) structure, $M_{X(6600)}=6552\pm10\pm12$ MeV, as one of the $0^{++}$(1$S$) and $2^{++}$(1$S$) states or their mixtures. Another structure also named as X(6600) by CMS Collaboration, $M_{X(6600)}=6.62\pm0.03^{+0.02}_{-0.01}$ GeV, may arise from the lowest 1$P$ states with $J^{PC}$=$0^{-+}$, $1^{-+}$, and $2^{-+}$. The possible assignments for X(6900) include the $0^{++}$(2$S$), $2^{++}$(2$S$) states, and the highest 1$P$ state with $J^{PC}=0^{-+}$. As for X(7200), it can be interpreted as one of the highest 2$P$ states with $J^{PC}=0^{-+}$, $1^{-+}$, and $2^{-+}$, and the 3$S$ states can not be completely excluded from the candidates.

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arXiv2023

Mass spectra of bottom-charm baryons

In this paper, we investigate the mass spectra of bottom-charm baryons systematically, where the relativistic quark model and the infinitesimally shifted Gaussian basis function method are employed. Our calculation shows that the $ρ$-mode appears lower in energy than the other excited modes. According to this feature, the allowed quantum states are selected and a systematic study of the mass spectra for $Ξ_{bc}^{'}$ ($Ξ_{bc}$) and $Ω_{bc}^{'}$ ($Ω_{bc}$) families is performed. The root mean square radii and quark radial probability density distributions of these baryons are analyzed as well. Next, the Regge trajectories in the $(J,M^{2})$ plane are successfully constructed based on the mass spectra. At last, we present the structures of the mass spectra, and analyze the difficulty and opportunity in searching for the ground states of bottom-charm baryons in experiment.

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arXiv2023

Mass spectra of double-bottom baryons

Based on the relativistic quark model and the infinitesimally shifted Gaussian basis function method, we investigate the mass spectra of double bottom baryons systematically. In the $ρ$-mode which appears lower in energy than the other excited modes, we obtain the allowed quantum states and perform a systematic study of the mass spectra of the $Ξ_{bb}$ and $Ω_{bb}$ families. We analyze the root mean square radii and quark radial probability density distributions to deeply understand the structure of the heavy baryons. Meanwhile, the mass spectra allow us to successfully construct the Regge trajectories in the $(J,M^{2})$ plane. We also predict the masses of the ground states of double bottom baryons and discuss the differences between the structures of our spectra and those from other theoretical methods. At last, the shell structure of the double bottom baryon spectra is shown, from which one could get a bird's-eye view of the mass spectra.

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arXiv2023

Systematic analysis of strange single heavy baryons $Ξ_{c}$ and $Ξ_{b}$

Motivated by the experimental progress in the study of heavy baryons, we investigate the mass spectra of strange single heavy baryons in the $λ$-mode, where the relativistic quark model and the infinitesimally shifted Gaussian basis function method are employed. It is shown that the experimental data can be well reproduced by the predicted masses. The root mean square radii and radial probability density distributions of the wave functions are analyzed in detail. Meanwhile, the mass spectra allow us to successfully construct the Regge trajectories in the $(J,M^{2})$ plane. We also preliminarily assign quantum numbers to the recently observed baryons, including $Ξ_{c}(3055)$, $Ξ_{c}(3080)$, $Ξ_{c}(2930)$, $Ξ_{c}(2923)$, $Ξ_{c}(2939)$, $Ξ_{c}(2965)$, $Ξ_{c}(2970)$, $Ξ_{c}(3123)$, $Ξ_{b}(6100)$, $Ξ_{b}(6227)$, $Ξ_{b}(6327)$ and $Ξ_{b}(6333)$. At last, the spectral structure of the strange single heavy baryons is shown. Accordingly, we predict several new baryons that might be observed in forthcoming experiments.

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arXiv2023

Analysis of the strong coupling constant $G_{D_{s}^{}D_{s}ϕ}$ and the decay width of $D_{s}^{}\rightarrow D_{s}γ$ with QCD sum rules

In this article, we calculate the form factors and the coupling constant of the vertex $D_{s}^{*}D_{s}ϕ$ using the three-point QCD sum rules. We consider the contributions of the vacuum condensates up to dimension $7$ in the operator product expansion(OPE). And all possible off-shell cases are considered, $ϕ$, $D_{s}$ and $D_{s}^{*}$, resulting in three different form factors. Then we fit the form factors into analytical functions and extrapolate them into time-like regions, which giving the coupling constant for the process. Our analysis indicates that the coupling constant for this vertex is $G_{Ds*Dsϕ}=4.12\pm0.70 GeV^{-1}$. The results of this work are very useful in the other phenomenological analysis. As an application, we calculate the coupling constant for the decay channel $D_{s}^{*}\rightarrow D_{s}γ$ and analyze the width of this decay with the assumption of the vector meson dominance of the intermediate $ϕ(1020)$. Our final result about the decay width of this decay channel is $Γ=0.59\pm0.15keV$.

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arXiv2022

Isospin eigenstates of the color singlet-singlet type pentaquark states

In this article, we construct the color singlet-singlet type five-quark currents with the isospins $(I,I_3)=(\frac{1}{2},\frac{1}{2})$ and $(\frac{3}{2},\frac{1}{2})$ unambiguously to explore the $\bar{D}Σ_c$, $\bar{D}Σ_c^*$, $\bar{D}^*Σ_c$ and $\bar{D}^*Σ_c^*$ pentaquark states via the QCD sum rules for the first time, where the $\bar{D}$, $Σ_c$, $\cdots$ represent the color-singlet clusters having the same quantum numbers as the corresponding physical mesons or baryons. The numerical results support assigning the $P_c(4312)$, $P_c(4380)$, $P_c(4440)$ and $P_c(4457)$ as the $\bar{D}Σ_c$, $\bar{D}Σ_c^*$, $\bar{D}^*Σ_c$ and $\bar{D}^*Σ_c^*$ pentaquark states with the isospin $I=\frac{1}{2}$, respectively. The corresponding $\bar{D}Σ_c$, $\bar{D}Σ_c^*$, $\bar{D}^*Σ_c$ and $\bar{D}^*Σ_c^*$ pentaquark states with the isospin $I=\frac{3}{2}$ have slightly larger masses, the observations of the higher pentaquark candidates in the $J/ψΔ$ invariant mass spectrum would shed light on the nature of the $P_c$ states, and make contributions in distinguishing the scenarios of color antitriplet-antitriplet-antitriplet type and color singlet-singlet type pentaquark states.

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arXiv2021

The $1D$, $2D$ $Ξ_{b}$ and $Λ_{b}$ baryons

Recently, scientists have made great progresses in experiments in searching for the excited states of $Ξ_{b}$ and $Λ_{b}$ baryons such as the $Λ_{b}(6072)$, $Λ_{b}(6146)$, $Λ_{b}(6152)$, $Ξ_{b}(6227)$, $Ξ_{b}(6100)$, $Ξ_{b}(6327)$ and $Ξ_{b}(6333)$. Stimulated by these progresses, we give a systematical analysis about the $1D$ and $2D$ states of $Ξ_{b}$ and $Λ_{b}$ baryons with the method of QCD sum rules. By constructing three types of interpolating currents, we calculate the masses and pole residues of these heavy baryons with different excitation modes $(L_ρ,L_λ)=(0,2)$, $(2,0)$ and $(1,1)$. As a result, we decode the inner structures of $Λ_{b}(6146)$, $Λ_{b}(6152)$, $Ξ_{b}(6327)$ and $Ξ_{b}(6333)$, and favor assigning these states as the $1D$ baryons with the quantum numbers $(L_ρ,L_λ)=(0,2)$ and $\frac{3}{2}^{+}$, $\frac{5}{2}^{+}$, $\frac{3}{2}^{+}$ and $\frac{5}{2}^{+}$, respectively. In addition, the predictions about the masses and pole residues of the other $1D$ and $2D$ states of $Ξ_{b}$ and $Λ_{b}$ baryons in this paper are helpful in studying the D-wave bottom baryons in experiments in the future.

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