Stimulated by the exciting progress in experiments, we carry out a combined analysis of the masses, and strong and radiative decay properties of the $B$ and $B_s$-meson states up to the second orbital excitations. Based on our good descriptions of th
e mass and decay properties for the low-lying well-established states $B_1(5721)$, $B_2^*(5747)$, $B_{s1}(5830)$ and $B_{s2}^*(5840)$, we give a quark model classification for the high mass resonances observed in recent years. It is found that (i) the $B_{J}(5840)$ resonance may be explained as the low mass mixed state $B(|SDrangle_L)$ via $2^3S_1$-$1^3D_1$ mixing, or the pure $B(2^3S_1)$ state, or $B(2^1S_0)$. (ii) The $B_J(5970)$ resonance may be assigned as the $1^3D_3$ state in the $B$ meson family, although it as a pure $2^3S_1$ state cannot be excluded. (iii) The narrow structure around 6064 MeV observed in the $B^+K^-$ mass spectrum at LHCb may be mainly caused by the $B_{sJ}(6109)$ resonance decaying into $B^{*+}K^-$, and favors the assignment of the high mass $1D$-wave mixed state $B_s(1D_2)$ with $J^P=2^-$, although it as the $1^3D_3$ state cannot be excluded. (iv) The relatively broader $B_{sJ}(6114)$ structure observed at LHCb may be explained with the mixed state $B_s(|SDrangle_H)$ via $2^3S_1$-$1^3D_1$ mixing, or a pure $1^3D_1$ state. Most of the missing $1P$-, $1D$-, and $2S$-wave $B$- and $B_s$-meson states have a relatively narrow width, they are most likely to be observed in their dominant decay channels with a larger data sample at LHCb.
In this work we construct 36 tetraquark configurations for the $1S$-, $1P$-, and $2S$-wave states, and make a prediction of the mass spectrum for the tetraquark $ssbar{s}bar{s}$ system in the framework of a nonrelativistic potential quark model witho
ut the diquark-antidiquark approximation. The model parameters are well determined by our previous study of the strangeonium spectrum. We find that the resonances $f_0(2200)$ and $f_2(2340)$ may favor the assignments of ground states $T_{(ssbar{s}bar{s})0^{++}}(2218)$ and $T_{(ssbar{s}bar{s})2^{++}}(2378)$, respectively, and the newly observed $X(2500)$ at BESIII may be a candidate of the lowest mass $1P$-wave $0^{-+}$ state $T_{(ssbar{s}bar{s})0^{-+}}(2481)$. Signals for the other $0^{++}$ ground state $T_{(ssbar{s}bar{s})0^{++}}(2440)$ may also have been observed in the $phiphi$ invariant mass spectrum in $J/psitogammaphiphi$ at BESIII. The masses of the $J^{PC}=1^{--}$ $T_{ssbar{s}bar{s}}$ states are predicted to be in the range of $sim 2.44-2.99$ GeV, which indicates that the $phi(2170)$ resonance may not be a good candidate of the $T_{ssbar{s}bar{s}}$ state. This study may provide a useful guidance for searching for the $T_{ssbar{s}bar{s}}$ states in experiments.
In the framework of a nonrelativistic potential quark model (NRPQM) for heavy quark system, we investigate the mass spectrum of the $P$-wave tetraquark states of $ccbar{c}bar{c}$ and $bbbar{b}bar{b}$. The Hamiltonian contains a linear confinement pot
ential and parameterized one-gluon-exchange potential which includes a Coulomb type potential and spin-dependent potentials. The full-heavy tetraquark system is solved by a harmonic oscillator expansion method. With the same parameters fixed by the charmonium and bottomonium spectra, we obtained the full spectra for the $S$ and $P$-wave heavy tetraquark states. We find that the narrow structure around 6.9 GeV recently observed at LHCb in the di-$J/psi$ invariant mass spectrum can be naturally explained by the $P$-wave $ccbar{c}bar{c}$ states. Meanwhile, the observed broad structure around $6.2sim 6.8$ GeV can be consistently explained by the $S$-wave states around 6.5 GeV predicted in our previous work. Some contributions from those suppressed low-lying $P$-wave states around 6.7 GeV are also possible. Other decay channels are implied in such a scenario and they can be investigated by future experimental analysis. Considering the large discovery potential at LHCb, we give our predictions of the $P$-wave $bbbar{b}bar{b}$ states which can be searched for in the future.
In this work, we study the mass spectrum of the $Omega_{ccc}$ and $Omega_{bbb}$ baryons up to the $N=2$ shell within a nonrelativistic constituent quark model (NRCQM). The model parameters are adopted from the determinations by fitting the charmonium
and bottomonium spectra in our previous works. The masses of the $Omega_{ccc}$ and $Omega_{bbb}$ baryon states predicted in present work reasonably agree with the results obtained with the Lattice QCD calculations. Furthermore, to provide more knowledge of the $Omega_{ccc}$ and $Omega_{bbb}$ states, we evaluate their radiative decays with the available masses and wave functions from the potential model.
In this work we study the mass spectra of the fully-heavy tetraquark systems, i.e. $ccbar{c}bar{c}$, $bbbar{b}bar{b}$, $bbbar{c}bar{c}/ccbar{b}bar{b}$, $bcbar{c}bar{c}/ccbar{b}bar{c}$, $bcbar{b}bar{b}/bbbar{b}bar{c}$, and $bcbar{b}bar{c}$, within a p
otential model by including the linear confining potential, Coulomb potential, and spin-spin interactions. It shows that the linear confining potential has important contributions to the masses and is crucial for our understanding of the mass spectra of the fully-heavy tetraquark systems. For the fully-heavy tetraquarks $Q_1Q_2bar{Q}_3bar{Q}_4$ our explicit calculations suggest that no bound states can be formed below the thresholds of any meson pairs $(Q_1bar{Q}_3)$-$(Q_2bar{Q}_4)$ or $(Q_1bar{Q}_4)$-$(Q_2bar{Q}_3)$. Thus, we do not expect narrow fully-heavy tetraquark states to be existing in experiments.
The strong decays of the $P$-wave $Sigma_b$, $Xi_b$ and $Omega_b$ baryons are investigated with a constituent quark model in the $j$-$j$ coupling scheme. The results show that the newly observed $Sigma_b(6097)$ and $Xi_b(6227)$ states by the LHCb col
laboration can be assigned as the $lambda$-mode $P$-wave singly bottom baryons. Given the heavy quark symmetry, both the $Sigma_b(6097)$ and $Xi_b(6227)$ states favor the light spin $j=2$ states with spin-parity numbers $J^P=3/2^-$ or $J^P=5/2^-$. More $P$-wave singly bottom baryons are most likely to be observed in future experiments for their relatively narrow width.
The strong and radiative decays of the low-lying $lambda$-mode $D$-wave $Lambda_{c(b)}$, $Sigma_{c(b)}$, $Xi_{c(b)}$, $Xi_{c(b)}$, and $Omega_{c(b)}$ baryons are studied in a constituent quark model. Our calculation shows the following: (i) The missi
ng $lambda$-mode $D$-wave $Omega_{c(b)}$, $Lambda_{b}$, and $Xi_{b}$ baryons have a relatively narrow decay width of a few MeV or a few tens of MeV and their dominant strong and radiative decay channels can be ideal for searching for their signals in future experiments. (ii) The $lambda$-mode $1D$-wave excitations in the $Sigma_{c(b)}$ and $Xi_{c(b)}$ families appear to have a relatively broad width of $sim 50-200$ MeV.Most of the $1D$-wave states have large decay rates into the $1P$-wave heavy baryons via the pionic or kaonic strong decay processes, which should be taken seriously in future observations. (iii) Both $Lambda_c(2860)$ and $Xi_c(3050)$ seem to favor the $J^P=3/2^+$ excitation $|^2D_{lambdalambda} frac{3}{2}^+ rangle$ of $bar{mathbf{3}}_F$, while both $Lambda_c(2880)$ and $Xi_c(3080)$ may be assigned as the $J^P=5/2^+$ excitation $|^2D_{lambdalambda} frac{5}{2}^+ rangle$ of $bar{mathbf{3}}_F$. The nature of $Xi_c(3050)$ and $Xi_c(3080)$ could be tested by the radiative transitions $Xi_c(3055)^0to Xi_c(2790)^0 gamma$ and $Xi_c(3080)^0 to Xi_c(2815)^0 gamma$, respectively.
The strong decays of charm-strange baryons up to N=2 shell are studied in a chiral quark model. The theoretical predictions for the well determined charm-strange baryons, $Xi_c^*(2645)$, $Xi_c(2790)$ and $Xi_c(2815)$, are in good agreement with the e
xperimental data. This model is also extended to analyze the strong decays of the other newly observed charm-strange baryons $Xi_c(2930)$, $Xi_c(2980)$, $Xi_c(3055)$, $Xi_c(3080)$ and $Xi_c(3123)$. Our predictions are given as follows. (i) $Xi_c(2930)$ might be the first $P$-wave excitation of $Xi_c$ with $J^P=1/2^-$, favors the $|Xi_c ^2P_lambda 1/2^->$ or $|Xi_c ^4P_lambda 1/2^->$ state. (ii) $Xi_c(2980)$ might correspond to two overlapping $P$-wave states $|Xi_c ^2P_rho 1/2^->$ and $|Xi_c ^2P_rho 3/2^->$, respectively. The $Xi_c(2980)$ observed in the $Lambda_c^+bar{K}pi$ final state is most likely to be the $|Xi_c ^2P_rho 1/2^->$ state, while the narrower resonance with a mass $msimeq 2.97$ GeV observed in the $Xi_c^*(2645)pi$ channel favors to be assigned to the $|Xi_c ^2P_rho 3/2^->$ state. (iii) $Xi_c(3080)$ favors to be classified as the $|Xi_c S_{rhorho} 1/2^+>$ state, i.e., the first radial excitation (2S) of $Xi_c$. (iv) $Xi_c(3055)$ is most likely to be the first $D$-wave excitation of $Xi_c$ with $J^P=3/2^+$, favors the $|Xi_c ^2D_{lambdalambda} 3/2^+>$ state. (v) $Xi_c(3123)$ might be assigned to the $|Xi_c ^4D_{lambdalambda} 3/2^+>$, $|Xi_c ^4D_{lambdalambda} 5/2^+>$, or $|Xi_c ^2D_{rhorho} 5/2^+>$ state. As a by-product, we calculate the strong decays of the bottom baryons $Sigma_b^{pm}$, $Sigma_b^{*pm}$ and $Xi_b^*$, which are in good agreement with the recent observations as well.
