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Ailin Zhang

Publications and source records attributed to Ailin Zhang.

At least 37 records · Page 2Linked to original sources

Newly observed $Λ_c(2860)^+$ at LHCb and its \emph{D}-wave partners $Λ_c(2880)^+$, $Ξ_c(3055)^+$ and $Ξ_c(3080)^+$

New resonance $Λ_c(2860)^+$, reported by LHCb, is a key to establish \emph{D}-wave charmed and charmed-strange baryon families. In this work, we first carry out an analysis of mass spectra of the $λ$-mode excited charmed and charmed-strange baryon states, which may reveal the relation of $Λ_c(2860)^+$, $Λ_c(2880)^+$, $Ξ_c(3055)^+$ and $Ξ_c(3080)^+$, $i.e.$, $Λ_c(2860)^+$ and $Λ_c(2880)^+$ can form a \emph{D}-wave doublet $[3/2^+,5/2^+]$ while $Ξ_c(3055)^+$ and $Ξ_c(3080)^+$ are the strange partners of $Λ_c(2860)^+$ and $Λ_c(2880)^+$, respectively. Further study of their two-body Okubo-Zweig-Iizuka-allowed decays supports $Λ_c(2860)^+$ and $Ξ_c(3055)^+$ as the \emph{D}-wave charmed and charmed-strange baryons, respectively, with $J^P=3/2^+$. For $Λ_c(2880)^+$ and $Ξ_c(3080)^+$, however, there exist some difficulties under the \emph{D}-wave assignment with $J^P=5/2^+$ since the experimental widths and some ratios of partial width of $Λ_c(2880)^+$ and $Ξ_c(3080)^+$ cannot be reproduced in our calculation.

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Hadronic decay properties of newly observed $Ω_c$ baryons

Hadronic decay widths of the newly observed charmed strange baryons, $Ω_c(3000)^0$, $Ω_c(3050)^0$, $Ω_c(3066)^0$, $Ω_c(3090)^0$ and $Ω_c(3119)^0$ have been calculated in a $^3P_0$ model. Our results indicate that $Ω_c(3066)^0$ and $Ω_c(3090)^0$ can be interpreted as the $1P-$wave $Ω_{c2}(\frac{3}{2}^-)$ or $Ω_{c2}(\frac{5}{2}^-)$. Though the measured masses of $Ω_c(3000)^0$, $Ω_c(3050)^0$ and $Ω_c(3119)^0$ are lower than existed theoretical predictions of $1D-$wave $Ω_c$, the hadronic decay features of these $Ω_c$ favor assignments of the $1D-$wave states. $Ω_c(3000)^0$ is possibly $Ω_{c1}(\frac{1}{2}^+)$ or $Ω_{c1}(\frac{3}{2}^+)$, $Ω_c(3050)^0$ is possibly $\hatΩ_{c3}(\frac{5}{2}^+)$ or $\hatΩ_{c3}(\frac{7}{2}^+)$, and $Ω_c(3119)^0$ is possibly $\hatΩ_{c3}(\frac{5}{2}^+)$, $\hatΩ_{c3}(\frac{7}{2}^+)$, $Ω_{c3}(\frac{5}{2}^+)$ or $Ω_{c3}(\frac{7}{2}^+)$. The predicted total decay widths in these assignments are consistent with experiment.

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Study of radially excited $D_s(2^1S_0)$ and $D^+_{sJ}(2632)$

The $J^P=0^-$ radial excitation $D_s(2^1S_0)$ is anticipated to have mass $2650$ MeV (denoted with $D_s(2650)$) though it has not been observed. $D_s(2650)$ is anticipated to be observed in inclusive $e^+e^-$ and $pp$ collisions in $D^*K$ channel. $D_s(2650)$ can be produced from hadronic decays of higher excited resonances. In a $^3P_0$ model, hadronic production of $D_s(2650)$ has been studied, relevant decay widths have been estimated. The hadronic decays of $D_s(3P)$ have been explored in detail, and the dominant decay channels have been pointed out. Two hadronic decay channels of $D^+_{sJ}(2632)$ were observed by SELEX, but have not been observed by any other experiment. Hadronic decays of $D^+_{sJ}(2632)$ in different assignments have been explored in the $^3P_0$ model. In view of the hadronic decay manner of $D^+_{sJ}(2632)$ , we conclude that $D^+_{sJ}(2632)$ cannot be a conventional charmed strange $c\bar s$ meson.

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Hadronic production of $D(2550)$, $D^*(2600)$, $D(2750)$, $D^*_1(2760)$ and $D^*_3(2760)$

Hadronic decays of radially excited $2D$ $D(2^3D_1)$, $D(2^3D_3)$, $D(2D_2)$ and $D(2D^\prime_2)$ have been studied in a $^3P_0$ model. All OZI-allowed decay channels of these $2D$ $D$ resonances have been given, and relevant decay widths have been calculated. $D(2550)$, $D^*(2600)$, $D(2750)$, $D^*_1(2760)$ and $D^*_3(2760)$ can be produced in hadronic decays of $D(2^3D_1)$, $D(2^3D_3)$, $D(2D_2)$ and $D(2D^\prime_2)$. In different assignments, hadronic decay widths and some relevant ratios from the $2D$ $D$ resonances to $D(2550)$, $D^*(2600)$, $D(2750)$, $D^*_1(2760)$ or $D^*_3(2760)$ final states have been predicted, which may provide some more information to identify these resonances in forthcoming experiments.

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Nature of charmed strange baryons $Ξ_c(3055)$ and $Ξ_c(3080)$

The hadronic decay widths and some ratios of branching fractions of the newly observed charmed strange baryons, $Ξ_c(3055)^0$, $Ξ_c(3055)^+$ and $Ξ_c(3080)^+$ are calculated in a $^3P_0$ model. In the calculation, they are considered as $34$ kinds of $D-wave$ charmed strange baryons. Among these assignments, $Ξ_c(3055)^+$ is very possibly a $J^P={5\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{5}{2}^+)$ or $\checkΞ_{c3}^2(\frac{5}{2}^+)$, where $Ξ_c(3055)^+$ has the total decay width $Γ=10.1$ MeV and $Γ=7.6$ MeV. The predicted ratios $Γ(Ξ_c(3055)^+ \to ΛD^+ )/ Γ(Ξ_c(3055)^+ \to Σ_c^{++}K^-)=3.39$. $Ξ_c(3055)^+$ is also very possibly a $J^P={7\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{7}{2}^+)$ or $\checkΞ_{c3}^2(\frac{7}{2}^+)$. In these two assignments, $Ξ_c(3055)^+$ has the total decay width $Γ=9.7$ MeV and $Γ=6.3$ MeV. The predicted ratios $Γ(Ξ_c(3055)^+ \to ΛD^+ )/ Γ(Ξ_c(3055)^+ \to Σ_c^{++}K^-)=5.91~\rm{or}~6.04$. As a isospin partner of $Ξ_c(3055)^+$, $Ξ_c(3055)^0$ is also very possibly a $J^P={5\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{5}{2}^+)$ or $\checkΞ_{c3}^2(\frac{5}{2}^+)$, where $Ξ_c(3055)^0$ has the total decay width $Γ=10.9$ MeV and $Γ=7.0$ MeV. The predicted ratios $Γ(Ξ_c(3055)^0 \to ΛD^0 )/ Γ(Ξ_c(3055)^0 \to Σ_c^{+}K^-)=4.24~\rm{or}~4.20$. $Ξ_c(3055)^0$ is also very possibly a $J^P={7\over 2}^+$ $\hatΞ_{c3}^\prime(\frac{7}{2}^+)$ or $\checkΞ_{c3}^2(\frac{7}{2}^+)$. In these assignments, $Ξ_c(3055)^0$ has the total decay width $Γ=10.3$ MeV and $Γ=7.1$ MeV. The predicted ratios $Γ(Ξ_c(3055)^0 \to ΛD^0 )/ Γ(Ξ_c(3055)^0 \to Σ_c^{+}K^-)=7.47~\rm{or}~7.56$. The results agree well with recent experimental data from Belle. $Ξ_c(3080)^+$ seems impossible to be identified with a D-wave charmed strange baryon.

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Combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity

In this paper, we perform a combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity. Our results indicate that $D^*_1(2600)/D^*_{s1}(2700)$ and $D^*_1(2760)/D^*_{s1}(2860)$ are predominantly the $2^3S_1$ and $1^3D_1$ charmed/charmed-strange mesons, respectively, while $D_3^*(2760)/D_{s3}^*(2860)$ can be regarded as the $1^3D_3$ charmed/charmed-strange mesons. In addition, some typical ratios of partial widths of the discussed natural states are predicted, by which future experiments can test these assignments, especially for the $2S$-$1D$ mixing scheme existing in $D^*_1(2600)/D^*_1(2760)$ and $D^*_{s1}(2700)/D^*_{s1}(2860)$.

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Assignments of $Λ_Q$ and $Ξ_Q$ baryons in the heavy quark-light diquark picture

We apply a new mass formula which is derived analytically in the relativistic flux tube model to the mass spectra of $Λ_Q$ and $Ξ_Q$ (\emph{Q} = \emph{c} or \emph{b} quark) baryons. To this end, the heavy quark-light diquark picture is employed. We find that all masses of the available $Λ_Q$ and $Ξ_Q$ states can be understood well. The assignments to these states do not appear to contradict the strong decay properties. $Λ_c(2760)^+$ and $Ξ_c(2980)$ are assigned to the first radial excitations with $J^P = 1/2^+$. $Λ_c(2940)^+$ and $Ξ_c(3123)$ might be the 2\emph{P} states. The $Λ_c(2880)^+$ and $Ξ_c(3080)$ are the good 1\emph{D} candidates with $J^P = 5/2^+$. $Ξ_c(3055)$ is likely to be a 1\emph{D} state with $J^P = 3/2^+$. $Λ_b(5912)^0$ and $Λ_b(5920)^0$ favor the 1\emph{P} assignments with $J^P = 1/2^-$ and $3/2^-$, respectively. We propose a search for the $\tildeΛ_{c2}(5/2^-)$ state which can help to distinguish the diquark and three-body schemes.

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Hadronic decays of the highly excited $2D$ $D_s$ resonances

Hadronic decays of the highly excited $2D$ $D_s$ resonances have been studied in the $^3P_0$ model. Widths of all possible hadronic decay channels of the $2D$ $D_s$ have been computed. $D^*_{s1}(2700)$, $D^*_{s1}(2860)$, $D^*_{s3}(2860)$, $D(2600)$ and $D(2750)$ can be produced from hadronic decays of the $2D$ $D_s$, and relevant hadronic decay widths have been particularly paid attention to. The hadronic decay widths of $2D$ $D_s$ to $D(2600)$ or $D(2750)$ may be large, and the numerical results are different in different assignments of $D(2600)$ and $D(2750)$. The hadronic decay widths of $2D$ $D_s$ to $D^*_{s1}(2860)$, $D^*_{s3}(2860)$ or $D^*_{s1}(2700)$ are very small, and different in different assignments of $D^*_{s1}(2700)$.

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Is $Y(4008)$ possibly a $1^{--}$ $ψ(3^3S_1)$ state?

The strong decays of the radially excited $ψ(3^3S_1)$ state are studied within the $^3P_0$ model. As a believed $ψ(3^3S_1)$, some strong decay widths and relevant ratios of $ψ(4040)$ are calculated in the model. The theoretical results are consistent with experiments. In a similar way, as a possible $ψ(3^3S_1)$, the same strong decay widths and relevant ratios of $Y(4008)$ are presented. Our study indicates that $Y(4008)$ is hard to be identified with a $ψ(3^3S_1)$ charmonium once it is confirmed under the $D^*\bar{D}^*$ threshold, but it is very possibly a $ψ(3^3S_1)$ charmonium once it is confirmed above the $D^*\bar{D}^*$ threshold by experiment.

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Scalar glueball in a soft-wall model of AdS/QCD

The scalar glueball is investigated in a soft-wall model of AdS/QCD. Constraints of the mass of the scalar glueball are given through an analysis of a relation between the bulk mass and the anomalous dimension. The mass of the ground scalar glueball is located at $0.96^{+0.04}_{-0.07} \rm{GeV}<m_G<1.36^{+0.05}_{-0.10}\rm{GeV}$. In terms of a background dilaton field $Φ(z)=cz^2$, the two-point correlation function for the scalar gluon operator is obtained. The two-point correlation function at $Δ=4$ gives a different behavior compared with the one in QCD.

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X(1870) and $η_2(1870)$: Which can be assigned as a hybrid state?

The mass spectrum and strong decays of the X(1870) and $η_2(1870)$ are analyzed. Our results indicate that X(1870) and $η_2(1870)$ are the two different resonances. The narrower X(1870) seems likely a good hybrid candidate. We support the $η_2(1870)$ as the $η_2(2^1D_2)$ quarkonium. We suggest to search the isospin partner of X(1870) in the channels of $J/ψ\rightarrowρf_0(980)π$ and $J/ψ\rightarrowρb_1(1235)π$ in the future. The latter channel is very important for testing the hybrid scenario.

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Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks

Diquarks with $J^{P}=0^{\pm}$, $1^{\pm}$ containing a heavy (charm or bottom) quark and a light quark are investigated using QCD Laplace sum rules. Masses are determined using appropriately constructed gauge invariant correlation functions, including for the first time next-to-leading order perturbative contributions. The $J^P=0^+$ and $1^+$ charm-light diquark masses are respectively found to be 1.86$\pm$0.05 GeV and 1.87$\pm$0.10 GeV, while those of the $0^+$ and $1^+$ bottom-light diquarks are both determined to be 5.08$\pm$0.04 GeV. The sum rules derived for heavy-light diquarks with negative parity are poorly behaved and do not permit unambiguous mass predictions, in agreement with previous results for negative parity light diquarks. The scalar and axial vector heavy-light diquark masses are degenerate within uncertainty, as expected by heavy quark symmetry considerations. Furthermore, these mass predictions are in good agreement with masses extracted in constituent diquark models of the tetraquark candidates X(3872) and $Y_b(10890)$. Thus these results provide QCD support for the interpretation of the X(3872) and $Y_b(10890)$ as $J^{PC}=1^{++}$ tetraquark states composed of diquark clusters. Further implications for tetraquarks among the heavy quarkonium-like XYZ states are discussed.

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Heavy quark symmetry in strong decays of P-wave heavy-light mesons

Heavy quark symmetry and its breaking in strong decays of P-wave heavy-light mesons are examined within the EHQ's method. The consistence of theory with experiments indicates that the breaking of heavy quark symmetry in the two-body strong decays of these mesons is not large. The relation between the EHQ's method and the $^3P_0$ model is investigated, and the phenomenological transition strengths $\mathcal {F}^{j_q,j'_q}_{j_h,l}(0)$ of the P-wave heavy-light mesons within the EHQ method are analytically derived within the $^3P_0$ model.

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$D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ revisited within the $^3P_0$ model

The strong decays of $D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ are investigated within the $^3P_0$ model. It is found that the interpretation of these two states depends on the mixing schemes and the ways of choices of the harmonic oscillator parameter $β$. If $D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ are two pure states, $D^\star_{s1}(2700)^\pm$ seems impossibly the $2^3S_1$ $D_s$, but may be the $1^3D_1$ $D_s$. $D^\star_{sJ}(2860)^\pm$ may be the $1^3D_3$. If there is mixing between the $2^3S_1$ and $1^3D_1$, $D^\star_{s1}(2700)^\pm$ may be the mixed $1^-$ state with a small mixing angle in the case of a special $β$ for each meson, and $D^\star_{sJ}(2860)^\pm$ is the orthogonal partner of $D^\star_{s1}(2700)^\pm$; $D^\star_{s1}(2700)^\pm$ may also be the mixed $1^-$ state with a large mixing angle based on a universal $β$ for all mesons, and $D^\star_{sJ}(2860)^\pm$ seems impossibly the orthogonal partner of $D^\star_{s1}(2700)^\pm$. Other uncertainties related to the choices of constituent quark masses and phase spaces are also explored.

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Possible 2S and 1D charmed and charmed-strange mesons

Possible $2S$ and $1D$ excited $D$ and $D_s$ states are studied, the charmed states $D(2550)^0$, $D^\ast(2600)$, $D(2750)^0$ and $D^\ast(2760)$ newly observed by the BaBar Collaboration are analyzed. The masses of these states are explored within the Regge trajectory phenomenology, and the strong decay widths are computed through the method proposed by Eichten {\it et al.}\cite{Eichten}. Both the mass and the decay width indicate that $D(2550)^0$ is a good candidate of $2^1S_0$. $D^\ast(2600)$ and $D_{s1}^\ast(2700)^\pm$ are very possible the admixtures of $2^3S_1$ and $1^3D_1$ with $J^P=1^-$ and a mixing angle $ϕ\approx 19^0$. $D^\ast(2760)$ and $D_{sJ}^\ast(2860)^\pm$ are possible the $1^3D_3$ $D$ and $D_s$, respectively. $D(2750)^0$ and $D^\ast(2760)$ seem two different states, and $D(2750)^0$ is very possible the $1D(2^-, \frac{5}{2})$ though the possibility of $1D(2^-, \frac{3}{2})$ has not been excluded. There may exist an unobserved meson $D_{sJ}(2850)^\pm$ corresponding to $D^\ast_{sJ}(2860)^\pm$.

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$J^P$ Assignments of $Λ_c^+$ Baryons

The "good" diquark is employed to study $Λ_c^{+}$ baryons within a mass loaded flux tube model. The study indicates that all $Λ_c^{+}$ baryons candidates in the 2008 review by the Particle Data Group (PDG) are well described in the mass loaded flux tube model. The quantum numbers $J^P$ of these $Λ_c^{+}$ candidates are assigned. If $Λ_c(2765)^{+}$ is an orbitally excited $Λ^+_c$, it is likely the $J^P={3\over 2}^+$ one. If $Λ_c(2765)^+$ is an orbitally excited $Σ_c$, there ought to be another $J^P={3\over 2}^+$ $Λ^+_c$ with mass $\approx 2770$ MeV. In the model, there exists no $J^P={1\over 2}^+$ $Λ_c(\approx 2700)^+$ predicted in existing literature. $Λ_c(2940)^{+}$ is very possible the orbitally excited baryon with $J^P={5\over 2}^-$.

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Interpretation of $D_{sJ}(2632)^+$, $D_{s1}(2700)^\pm$, $D^\star_{sJ}(2860)^+$ and $D_{sJ}(3040)^+$

$D_s$ mesons are investigated in a semi-classic flux tube model where the spin-orbit interaction is taken into account. Spectrum of D-wave $D_s$ is predicted. The predicted spectrum is much lower than most previous predictions. Analysis of some $D_s$ candidates is made. $D_{sJ}(2632)^+$ may be a $1^-$ ($j^P={3\over 2}^-$ or $1^3D_1$) orbitally excited $D_s$ meson. $D_{s1}(2700)^\pm$ is very possible the first radially excited $1^-$ ($j^P={1\over 2}^-$ or $2^3S_1$) $D_s$ meson (the first radial excitation of $D^{\star\pm}_s(2112)^0$). $D^\star_{sJ}(2860)^+$ should be a $3^-$ ($j^P={5\over 2}^-$ or $1^3D_3$) orbitally excited $D_s$ meson, and $D_{sJ}(3040)^+$ is the first radially excited $1^+$ ($j^P={1\over 2}^+$) $D_s$ meson. Our conclusions are consistent with the most lately BaBar experiment.

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Implications to $c\bar s$ assignments of $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$

Possible assignments of $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ in the conventional quark model are analyzed. The study indicates that both the orbitally excited $c\bar s$ and the radially excited $c\bar s$ are possible. Some implications to these assignments are explored. If $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ are the orbitally excited D-wave $1^- (j^P={3\over 2}^-)$ and $3^- (j^P={5\over 2}^-)$, respectively, another orbitally excited D-wave $2^-$ $D_s$, $D_{s2}(2800)$, is expected. If $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ are the first radially excited $1^- (j^P={1\over 2}^-)$ and $0^+ (j^P={1\over 2}^+)$, respectively, other two radially excited $0^- D^\prime_s(2582)$ and $1^+ D^\prime_{s1}(2973)$ are expected. $D_{s2}(2800)$ and $D^\prime_{s1}(2973)$ are mixing states. The chiral doubling relation may exist in radially excited $D_s$, the splitting between the parity partners(the $(0^-,1^-)$ and the $(0^+,1^+)$) is $\approx 280$ MeV.

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