Abstract
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, and to 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 X_0(2900). Meanwhile, we also obtain an isospin partner state I(J^P)=0(0^+) with M=2649 MeV and Gamma _{Xrightarrow {bar{D}} K}=48.1 MeV, respectively. Future experimental search for X(2649) will be very helpful.
Highlights
The LHCb collaboration reported an enhancement on the D− K + invariant mass distribution in the process B+ → D+ D− K +, which is parameterized as two Breit– Wigner resonances [1,2,3]: X0 : M = 2.866 ± 0.007 ± 0.002 GeV, X1 : M = 2.904 ± 0.005 ± 0.001 GeV,= 57 ± 12 ± 4 MeV, = 110 ± 11 ± 4 MeV, with J P = 0+ and J P = 1−, respectively
The quark model which we adopted in this work successfully described the large mass splitting between the π and ρ mesons, which indicates that the hyperfine interaction should be very important for the light quarks
We evaluate the mass spectrum and the decay widths of the system csqqwith the quark model
Summary
The LHCb collaboration reported an enhancement on the D− K + invariant mass distribution in the process B+ → D+ D− K +, which is parameterized as two Breit– Wigner resonances [1,2,3]:. We first extend our previous work [33] to study the open-flavor system csqq spectrum within quark model considering the mixing effect of the two color configurations. We calculate the decay widths of the csqq system into the D (∗) K (∗) channels within the quark-interchange model [37,38,39,40,41,42]. In this model, the quark–quark interactions are described by the same quark model in the mass spectrum calculation. We calculate the mass spectrum of the S-wave tetraquark states and present the results in Sect.
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