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Li-Ye Xiao

Publications and source records attributed to Li-Ye Xiao.

At least 19 recordsLinked to original sources

Probing the inner structures of the observed $\Xi_b$ and $\Xi_b'$ resonances

To shed light on the inner structure of the observed single-bottom strange baryons, in this work we systematically study the Okubo-Zweig-Iizuka allowed strong decay properties of $1P$- and $2S$-wave $\Xi_b$ and $\Xi_b'$ baryons within the $j-j$ coupling scheme in the framework of the quark pair creation model. For a comparison, we also give the predictions of the chiral quark model. The calculations indicate that: (i) The $1P$-wave $\lambda$-mode $\Xi_b$ states $\Xi_b|J^P=1/2^-,1\rangle_{\lambda}$ and $\Xi_b|J^P=3/2^-,1\rangle_{\lambda}$ are highly promising candidates for the observed state $\Xi_b(6087)$ and $\Xi_b(6095)/\Xi_b(6100)$, respectively. The $1P$-wave $\rho$-mode $\Xi_b$ states $\Xi_b|J^P=3/2^-,2\rangle_{\rho}$ and $\Xi_b|J^P=5/2^-,2\rangle_{\rho}$ are likely candidates for the state $\Xi_b(6227)$. Meanwhile, we cannot rule out the possibility that $\Xi_b(6227)$ could be a candidate of the $1P$-wave $\lambda$-mode $\Xi_b'$ state $\Xi_b'|J^P=3/2^-,2\rangle_{\lambda}$ or $\Xi_b'|J^P=5/2^-,2\rangle_{\lambda}$. (ii) For the other $1P$-wave $\rho$-mode $\Xi_b$ states and $1P$-wave $\lambda$-mode $\Xi_b'$ states, they may be moderate states with a width of several tens of MeV. Their main decay channels are $\Xi_b\pi$, $\Xi_b'\pi$, $\Xi_b^*\pi$ or $\Lambda_b\bar{K}$. The width of the $1P$-wave $\rho$-mode $\Xi_b'$ states are slightly broader, approximately several tens to over one hundred MeV, and the dominant decay channels are $\Xi_b'\pi$, $\Xi_b^*\pi$, $\Sigma_bK$ or $\Sigma_b^*K$. (iii) The $2S$-wave $\lambda$-mode $\Xi_b$ and $\Xi_b'$ states are most likely to be relatively narrow state with a width of only a few to around ten MeV, and they mainly decay into $\Xi_b'\pi$ or $\Xi_b^*\pi$. In addition, the $2S$-wave $\lambda$-mode $\Xi_b'$ states may also mainly decay into the $1P$-wave $\Xi_b$ baryon via the pionic decay processes.

hep-ph

$\Omega_c$ baryon spectrum and strong decays in a constituent quark model

In this work, we study the $\Omega_c$ baryon spectrum up to the $2P$ excitations within a semi-relativistic constituent quark potential model, where the mixing between different configurations with the same spin-parity numbers is dynamically considered. Furthermore, the strong decay properties for the excited $\Omega_c$ states are evaluated within an improved chiral quark model by including the relativistic correction term. In a unified framework, we provide a reasonable explanation of the widths, masses, and mass splittings, for the newly observed $\Omega_c$ resonances $\Omega_c(3000)$, $\Omega_c(3050)$, $\Omega_c(3065)$, $\Omega_c(3090)$, $\Omega_c(3120)$, $\Omega_c(3185)$, and $\Omega_c(3327)$. It is found that the configuration mixing is crucial for understanding the strong decay properties and mass splittings, while the relativistic correction term of the strong transition operator plays an important role in the states dominated by the radial excitations. We expect our study can provide useful references for establishing a more abundant $\Omega_c$ spectrum.

hep-ph

Possible explanations of the observed $\Lambda_c$ resonances

Inspired by the latest experimental progress, we systematically study the OZI-allowed two-body strong decay properties of $1P$-, $1D$-, $2S$- and $2P$-wave $\Lambda_c$ baryons within the $j $-$j$ coupling scheme in the framework of the quark pair creation model. The calculations indicate that: (i) Taking the observed states $\Lambda_c(2595)^+$ and $\Lambda_c(2625)^+$ as the $1P$-wave $\lambda$-modes states $\Lambda_c|J^P=1/2^-,1\rangle_{\lambda}$ and $\Lambda_c|J^P=3/2^-,1\rangle_{\lambda}$, respectively, we can reproduce the experimental data well in theory. (ii) Combining with the measured mass and the decay properties of $\Lambda_c(2860)^+$, this excited state can be explained as $1D$-wave $\lambda$-mode state $\Lambda_c|J^P=3/2^+,1\rangle_{\lambda\lambda}$. (iii) The newly observed state $\Lambda_c(2910)^+$ may be assigned as one of the $1P$-wave $\rho$-mode states $\Lambda_c|J^P=3/2^-,2\rangle_{\rho}$ or $\Lambda_c|J^P=5/2^-,2\rangle_{\rho}$. Meanwhile, we notice that the partial decay width ratio between $\Sigma_c\pi$ and $\Sigma_c^*\pi$ for the two candidates is significantly different. Hence, experimental progress in this ratio measurement may shed light on the nature of $\Lambda_c(2910)^+$. (iv) According to the properties of $\Lambda_c(2765)^+$, we find that the $2S$-wave $\lambda$-mode state $\Lambda_{c1}|J^P=1/2^+,0\rangle_{\lambda}$ may be a potential candidate. (v) The $2P$-wave $\lambda$-mode state $\Lambda_{c1}|J^P=3/2^-,1\rangle_{\lambda}$ is mostly likely to be a good assignment of the controversial state $\Lambda_c(2940)^+$. Both the total decay width and partial decay ratio between $pD^0$ and $\Sigma_c\pi$ are in good agreement with the observations. (vi) In addition, for the missing $\Lambda_c$ excitations, we obtain their strong decay properties and hope that's useful for future experimental exploration.

hep-ph

Strong decays of low-lying $D$-wave $\Xi_b/\Xi_b'$ baryons with QPC model

For further decoding the inner structure of the two excited $\Xi_b$ states observed by LHCb, we perform a systematical study of the strong decays of the low-lying $1D$-wave $\Xi_b$ and $\Xi_b'$ excitations using the quark pair creation model within the $j-j$ coupling scheme. Combining with the measured masses and decay properties of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6327)^{0}$, the two excited states can be explained as $1D$ $\lambda$-mode $\Xi_b$ states $\Xi_{b}|J^{P}=\frac{3}{2}^{+},2\rangle_{\lambda\lambda}$ and $\Xi_{b}|J^{P}=\frac{5}{2}^{+},2\rangle_{\lambda\lambda}$, respectively. If such a view were correct, $\Xi_b'\pi$ and $\Xi_b'^*\pi$ could be another interesting channels for experimental exploring of the $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6327)^{0}$, respectively. Those calculations are good consistent with the results within the chiral quark model. In addition, for the other missing $1D$-wave $\Xi_b$ and $\Xi_b'$ excitations, our predictions indicate that:(i) the two $\rho$-mode $1D$ $\Xi_b$ states are likely to be moderate states with a width of $\Gamma\sim50$ MeV. The $J^P=3/2^+$ state dominantly decays into $\Sigma_bK$ and $\Xi_b'\pi$, while the $J^P=5/2^+$ state decays primarily through $\Sigma_b^*K$ and $\Xi_b'^*\pi$. (ii) The $\lambda$-mode $1D$ $\Xi_b'$ states may be moderate states with a widths of about several to dozens of MeV. Most of the $\lambda$-mode $1D$ $\Xi_b'$ states mainly decay into the $1P$-wave bottomed baryon via the pionic decay processes. Meanwhile, several $\lambda$-mode $1D$ $\Xi_b'$ states have significant decay rates into $\Lambda B$. (iii) While, the $\rho$-mode $1D$ $\Xi_b'$ states are predicted to be very broad states with a width of about several hundreds MeV. It will be a great challenge to explore the $\rho$-mode $1D$ $\Xi_b'$ states in experiments for their broad widths.

hep-ph

A Res-FCN for Electromagnetic Inversion of High Contrast Scatterers at an Arbitrary Frequency Within a Wide Frequency Band

Many successful machine learning methods have been developed for microwave inversion problems. However, so far, their inversion has been performed only at the specifically trained frequencies. To make the machine-learning-based inversion method more generalizability for realistic engineering applications, this work proposes a residual fully convolutional network (Res-FCN) to perform microwave inversion of high contrast scatterers at an arbitrary frequency within a wide frequency band. The proposed Res-FCN combines the advantages of the Res-Net and the fully convolutional network (FCN). Res-FCN consists of an encoder and a decoder: the encoder is employed to extract high-dimensional features from the measured scattered field through the residual frameworks, while the decoder is employed to map from the high-dimensional features extracted by the encoder to the electrical parameter distribution in the inversion region by the up-sample layer and the residual frameworks. Five numerical examples verify that the proposed Res-FCN can achieve good performance in the 2-D microwave inversion problem for high contrast scatterers with anti-noise ability at an arbitrary frequency point within a wide frequency band.

physics.comp-ph

Strong decays of the low-lying $1P$- and $1D$-wave $\Sigma_c$ baryons

In this work, we systematically study the OZI-allowed two-body strong decay properties of $1P$- and $1D$-wave $\Sigma_c$ baryons within the $j $-$j$ coupling scheme in the framework of the quark pair creation model. For a comparison, we also give the predictions of the chiral quark model. Some model dependencies can be found in the predictions of two models. The calculations indicate that: (i) The $1P$-wave $\lambda$-mode $\Sigma_c$ states most likely to be relatively narrow states with a width of $\Gamma<80$ MeV. Their main decay channels are $\Lambda_c\pi$, or $\Sigma_c\pi$, or $\Sigma_c^*\pi$. The $1P$-wave $\rho$-mode states most might be broad states with a width of $\Gamma\sim 100-200$ MeV. They dominantly decay into $\Sigma_c\pi$ and $\Sigma_c^*\pi$ channels. Some evidences of these $1P$-wave states are most likely to be observed in the $\Lambda_c\pi$ and $\Lambda_c\pi\pi$ invariant mass spectra around the energy range of $2.75-2.95$ GeV. (ii) The $1D$-wave $\lambda$-mode $\Sigma_c$ excitations may be moderate states with a width of about dozens of MeV. The $1D$-wave $\lambda$-mode states mainly decay into the $1P$-wave charmed baryon via the pionic decay processes. Meanwhile, several $1D$-wave $\lambda$-mode states have significant decay rates into $DN$ or $D^*N$. Hence, the $DN$ and $D^*N$ are likely to be interesting channels for experimental exploration. (iii) Furthermore, the two $1D$-wave $\rho$-mode excitations $\Sigma_c|J^P=5/2^+,3\rangle_{\rho\rho}$ and $|J^P=7/2^+,3\rangle_{\rho\rho}$ are most likely to be fairly narrow state with a width of dozens of MeV, and they mainly decay into $\Lambda_c\pi$. Some evidences of them might be observed in the $\Lambda_c\pi$ invariant mass spectra around the energy range of $3.1-3.2$ GeV.

hep-ph

The strong decays of the low-lying $\rho$-mode $1P$-wave singly heavy baryons

We have systematically calculated the strong decays of the low-lying $\rho$-mode $1P$-wave $\Lambda_{c(b)}$, $\Sigma_{c(b)}$, $\Xi_{c(b)}$, $\Xi^{'}_{c(b)}$, $\Omega_{c(b)}$ baryons using the chiral quark model within the $j$-$j$ coupling scheme. For the controversial states, our results indicate: (i) For the singly charmed heavy baryons, the newly observed $\Lambda_{c}(2910)^+$ is a good candidate of the $J^P=5/2^-$ state $\Lambda_c|J^{P}=\frac{5}{2}^{-},2\rangle_{\rho}$. (ii) For the singly bottom heavy baryons, the $\Xi_{b}(6227)^-$ favors the $J^{P}=5/2^{-}$ state $\Xi_{b}|J^{P}=\frac{5}{2}^{-},2\rangle_{\rho}$. (iii) The other missing $\rho$-mode $1P$-wave excitations in $\Lambda_{b}$, $\Sigma_{c(b)}$ and $\Xi^{'}_{c(b)}$ families appear to be broad structures with $\Gamma$$\sim$(100-200) MeV, and their strong decay widths are sensitive to their masses. (iv) The $\rho$-mode $1P$-wave $\Xi_{c(b)}$ and $\Omega_{c(b)}$ baryons have a relatively narrow decay width of a few MeV or a few tens of MeV, and have a good potential to be observed in forthcoming experiments.

hep-ph

Aspects of $Z_{cs}(3985)$ and $Z_{cs}(4000)$

In the present work we investigate the $\eta_c K$, $J/\psi K$, $\eta_c K^*$ and $J/\psi K^*$ hidden-charm decay modes for the $c\bar{c}s\bar{u}$ four-quark system in the molecular and compact tetraquark scenarios using the quark-exchange model. Our theoretical results indicate that if the newly observed states $Z_{cs}(3985)$ and $Z_{cs}(4000)$ are two different states, $Z_{cs}(4000)$ may be interpreted as the mixture $\frac{1}{\sqrt{2}}(D^0D_s^{*-}+D^{*0}D_s^{-})$ of which the $J/\psi K$ partial decay width is about $\Gamma\sim2.89$ MeV, while $Z_{cs}(3985)$ may be explained as the mixture $\frac{1}{\sqrt{2}}(-D^0D_s^{*-}+D^{*0}D_s^{-})$ of which the $J/\psi K$ partial decay width is small to zero. Moreover, if the state $Z_{cs}(4000)$ can be explained as the mixed state $\frac{1}{\sqrt{2}}(D^0D_s^{*-}+D^{*0}D_s^{-})$ indeed, the partial decay width ratio between $J/\psi K$ and $\eta_cK^*$ is close to unit, which indicates the decay channel $\eta_cK^*$ may be a ideal channel as well to decode the inner structure of $Z_{cs}(4000)$. In addition, the partial decay width for the tensor molecular state $|D^{*0}D_s^{*-}\rangle_{2^+}$ decaying into $J/\psi K^*$ can reach up to a few MeV, which shows this tensor molecular state has a good potential to be observed in this decay channel.

hep-ph

The $1D$-wave bottom-strange baryons and possible interpretation of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6333)^{0}$

Inspired by the LHCb's newest observation of two new excited $\Xi_b^0$ states, we systematically study the strong decays of the low-lying $\lambda$- and $\rho$-modes $1D$-wave $\Xi_{b}$ and $\Xi^{'}_{b}$ baryons using the chiral quark model within the $j$-$j$ coupling scheme. Based on the measured masses and strong decay properties of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6333)^{0}$, we explain the two states as the $\lambda$-mode $1D$ $\Xi_{b}$ states with $ J^{P}=3/2^{+} $ and $ J^{P}=5/2^{+} $, respectively. Moreover, under this assignment, another dominant decay channel of $\Xi_{b}(6327)^{0}$ is $\Xi'_b\pi$ and that of $\Xi_{b}(6333)^{0}$ is $\Xi_b^*\pi$. Hence, the decay modes $\Xi'_b\pi$ and $\Xi_b^*\pi$ may be another ideal channels as well to decode the inner structure of $\Xi_{b}(6327)^{0}$ and $\Xi_{b}(6333)^{0}$, respectively. For other unseen $1D$ $\Xi_b$ and $\Xi'_b$ states, our results indicate: (i) $\Xi_b|J^P=\frac{3}{2}^+,2\rangle_{\rho}$ and $\Xi_b|J^P=\frac{5}{2}^+,2\rangle_{\rho}$ are most likely to be narrow states with a width of $\Gamma\simeq(12-30)$ MeV, and dominantly decay into $\Sigma_bK$ and $\Sigma^*_bK$, respectively; (ii) The $1D$ $\Xi'_b$ baryons are not broad states, and the widths vary in the range of $\Gamma\simeq(14-46)$ MeV. These states have a good potential to be observed in their dominant decay processes.

hep-ph

Mass spectrum and strong decays of tetraquark $\bar c\bar s qq$ states

We systematically study the mass spectrum and strong decays of the S-wave $\bar c\bar s q q$ states in the compact tetraquark scenario with the quark model. The key ingredients of the model are the Coulomb, the linear confinement, and the hyperfine interactions. The hyperfine potential leads to the mixing between different color configurations, as well as the large mass splitting between the two ground states with $I(J^P)=0(0^+)$ and $I(J^P)=1(0^+)$. We calculate their strong decay amplitudes into the $\bar D^{(*)}K^{(*)}$ channels with the wave functions from the mass spectrum calculation and the quark interchange method. We examine the interpretation of the recently observed $X_0(2900)$ as a tetraquark state. The mass and decay width of the $I(J^P)=1(0^+)$ state are $M=2941$ MeV and $\Gamma_X=26.6$ MeV, respectively, which indicates that it might be a good candidate for the $X_0(2900)$. Meanwhile, we also obtain an isospin partner state $I(J^P)=0(0^+)$ with $M=2649$ MeV and $\Gamma_{X\rightarrow \bar D K}=48.1$ MeV, respectively. Future experimental search for $X(2649)$ will be very helpful.

hep-ph

Toward establishing the low-lying $P$-wave $\Sigma_b$ states

In the present work, we analyze the $P$-wave singly-heavy baryon spectrum belonging to $\mathbf{6}_F$ by combining the observations of the heavy baryon states, and restudy the strong decays of the $1P$ wave $\Sigma_b$ states within the $j$-$j$ coupling scheme using the chiral quark model. We obtain that: (i) the structure $\Sigma_b(6097)$ observed in the $\Lambda_b\pi$ final state may arise from the overlapping of $\Sigma_b|J^P=\frac{3}{2}^-,2\rangle$ and $\Sigma_b|J^P=\frac{5}{2}^-,2\rangle$. (ii) The broad structure $\Sigma_b(6072)$ observed in the $\Lambda_b\pi\pi$ final state may arise from the overlapping of $\Sigma_b|J^P=\frac{1}{2}^-,1\rangle$ and $\Sigma_b|J^P=\frac{3}{2}^-,1\rangle$. (iii) The missing state $\Sigma_b|J^P=\frac{1}{2}^-,0\rangle$ is most likely to be a narrow state with a width of $\Gamma\sim10$ MeV, and mainly decays into $\Lambda_b\pi$ channel.

hep-ph

Understanding the newly observed $\Xi_c^0$ states through their decays

Inspired by the newly observed $\Xi_c^0$ states by the LHCb Collaboration, we investigate the OZI-allowed two-body strong decays of the $\lambda$-mode $1P$ wave $\Xi'_c$ states within the chiral quark model. Our results indicate that: (i) the newly observed states $\Xi_c(2923)^0$ and $\Xi_c(2939)^0$ are good candidates of the $\lambda$-mode $1P$ wave $\Xi'_c$ states with the spin-parity $J^P=3/2^-$, namely $|^4P_{\lambda}3/2^-\rangle$ and $|^2P_{\lambda}3/2^-\rangle$, respectively. (ii) The another newly observed state $\Xi_c(2965)^0$ mostly corresponds to the $\lambda$-mode $1P$-wave $\Xi'_c$ state with the spin-parity $J^P=5/2^-$, namely $|^4P_{\lambda}5/2^-\rangle$. (iii) For the two $\lambda$-mode $J^P=1/2^-$ mixed states, the $|P_{\lambda}~1/2^-\rangle_1$ is a narrow state with a width of $\Gamma\sim15$ MeV and mainly decays into $\Xi'_c\pi$; while the $|P_{\lambda}~1/2^-\rangle_2$ state has a width of $\Gamma\sim52$ MeV and dominantly decays into $\Xi_c\pi$ and $\Lambda_cK$ channels. If the broad structure around $2880$ MeV observed at LHCb arises from the new $\Xi^0_c$ state, this state is very likely to be the $|P_{\lambda}~1/2^-\rangle_2$ state.

hep-ph

Possible interpretation of the newly observed $\Omega_b$ states

Inspired by the newly observed $\Omega_b$ states by the LHCb Collaboration, we investigate the two-body strong decays of the low-lying $\lambda$-mode $\Omega_b$ baryons up to $N=2$ shell using the chiral quark model within the $j$-$j$ coupling scheme. Our results indicate that: (i) the newly observed states $\Omega_b(6316)^-$ and $\Omega_b(6330)^-$ are good candidates of the light spin $j=1$ states, while the spin-parity $J^P=1/2^-$ and $J^P=3/2^-$ cannot be distinguished. The other two states, $\Omega_b(6340)$ and $\Omega_b(6350)$ mostly correspond to the light spin $j=2$ states, while the spin-parity $J^P=3/2^-$ and $J^P=5/2^-$ cannot be distinguished as well.(ii) The $2S$ states with spin-parity $J^P=1/2^+$ and $J^P=3/2^+$, respectively, might be narrow states with a width of $\Gamma<2$ MeV. (iii) The $1D$ states are not broad and the total decay widths vary from several to dozens of MeV, which have a good potential to be observed in future experiments.

hep-ph

The hidden-charm strong decays of the $Z_c$ states

Inspired by BESIII's measurement of the decay $Z_c(3900)^{\pm}\rightarrow \rho^{\pm}\eta_c$, we calculate the branching fraction ratio between the $\rho\eta_c$ and $\pi J/\psi$ decay modes for the charged states $Z_c(3900)$, $Z_c(4020)$ and $Z_c(4430)$ using a quark interchange model. Our results show that (i) the ratio $R_{Z_c(3900)}=\frac{\mathcal{B}(Z_c(3900)^{\pm}\rightarrow \rho^{\pm}\eta_c)}{\mathcal{B}(Z_c(3900)^{\pm}\rightarrow \pi^{\pm}J/\psi)}$ is 1.3 and 1.6 in the molecular and tetraquark scenarios respectively, which is roughly consistent with the experimental data $R^{\mathrm{exp}}=2.2\pm0.9$. (ii) The ratios $\frac{\Gamma[Z_c(3900)\rightarrow \rho\eta_c]}{\Gamma[Z_c(4020)\rightarrow \rho\eta_c]}$ and $\frac{\Gamma[Z_c(3900)\rightarrow \pi J/\psi]}{\Gamma[Z_c(4020)\rightarrow \pi J/\psi]}$ are about 12.5 and 24.2, respectively in the molecular scenario. In contrast, these ratios are about 1.2 in the tetraquark scenario. The non-observation of the $Z_c(4020)$ signal in the $\pi J/\psi$ decay mode strongly indicates that $Z_c(3900)$ and $Z_c(4020)$ are molecule-like signals which arise from the $D^{(*)}{\bar D}^{(*)}$ hadronic interactions.

hep-ph

Three body open flavor decays of higher vector charmonium and bottomonium

With an extended quark pair creation model we systematically study the OZI-allowed three body open flavor decays of higher vector charmonium and bottomonium states. We obtain that the $BB^*\pi$ and $B^*B^*\pi$ partial decay widths of $\Upsilon(10860)$ are consistent with experiment, and the corresponding partial decay widths of $\Upsilon(11020)$ can reach up to 2$\sim$3 MeV. Meanwhile the partial widths of $DD^*\pi$ and $D^*D^*\pi$ modes for most higher vector charmonium states can reach up to several MeV.

hep-ph

Probing hidden-charm decay properties of $P_c$ states in a molecular scenario

The $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ observed by the LHCb Collaboration are very likely to be $S$-wave $\Sigma_c\bar{D}^{(*)}$ molecular candidates due to their near-threshold character. In this work, we study the hidden-charm decay modes of these $P_c$ states, $P_c\to J/\psi p(\eta_cp)$, using a quark interchange model. The decay mechanism for the $P_c\to J/\psi p(\eta_cp)$ processes arises from the quark-quark interactions, where all parameters are determined by the mass spectra of mesons. We present our results in two scenarios. In scenario I, we perform the dynamical calculations and treat the $P_c$ states as pure $\Sigma_c \bar D^{(*)}$ molecules. In scenario II, after considering the coupled channel effect between different flavor configurations $\Sigma^{(*)}_c\bar D^{(*)}$, we calculate these partial decay widths again. The decay patterns in these two scenarios can help us to explore the molecular assignment and the inner flavor configurations for the $P_c$ states. In particular, the decay widths of $\Gamma(P_c(4312)\to\eta_cp)$ are comparable to the $J/\psi p$ decay widths in both of these two scenarios. Future experiments like LHCb may confirm the existence of the $P_c(4312)$ in the $\eta_cp$ channel.

hep-ph

A possible explanation of the threshold enhancement in the process $e^+e^-\rightarrow \Lambda\bar{\Lambda}$

Inspired by the recent measurement of the process $e^+e^-\rightarrow \Lambda\bar{\Lambda}$, we calculate the mass spectrum of the $\phi$ meson with the GI model. For the excited vector strangeonium states $\phi(3S,~4S,~5S,~6S)$ and $\phi(2D,~3D,~4D,~5D)$, we further investigate the electronic decay width with the Van Royen-Weisskopf formula, and the partial widths of the $\Lambda\bar{\Lambda}$, $\Xi^{-(*)}\bar{\Xi}^+$, and $\Sigma^{+(*)}\bar{\Sigma}^{-(*)}$ decay modes with the extended quark pair creation model. We find that the electronic decay width of the $D$-wave vector strangeonium is about $3\sim8$ times larger than that of the $S$-wave vector strangeonium. Around 2232 MeV the partial decay width of the $\Lambda\bar{\Lambda}$ mode can reach up to several MeV for $\phi(3^3S_1)$, while the partial $\Lambda\bar{\Lambda}$ decay width of $\phi(2^3D_1)$ is $\mathcal{O}(10^{-3})$ keV. If the threshold enhancement reported by the BESIII Collaboration arises from the strangeonium meson, this state is very likely to be the $\phi(3^3S_1)$ state. We also note that the $\Lambda\bar{\Lambda}$ and $\Sigma^{+}\bar{\Sigma}^{-}$ partial decay widths of the states $\phi(3^3D_1)$ and $\phi(4^3S_1)$ are about several MeV, respectively, which are enough to be observed in future experiments.

hep-ph

Three body open flavor decays of higher charmonium and bottomonium

In the present work, we study the OZI-allowed three body open flavor decay properties of higher vector charmonium and bottomonium states with an extended quark pair creation model. For the bottomonium system, we get that (i) the $BB\pi$ and $B^*B^*\pi$ partial decay widths of the $\Upsilon(5S)$ state are consistent with the experiment, and the $BB^*\pi$ partial decay width of the $\Upsilon(5S)$ state is smaller but very close to the Belle's experiment. Meanwhile, (ii) the $BB^*\pi$ and $B^*B^*\pi$ decay widths of $\Upsilon(11020)$ can reachs $2\sim3$ MeV. In addition, (iii) for the most of higher vector charmonium states, the partial decay widths of the $DD^*\pi$ and $D^*D^*\pi$ modes can reach up to several MeV, which may be observed in future experiments.

hep-ph