Strong decays of the $P_{cs}(4459)$ as a $Ξ_c\bar{D}^{*}$ molecule

Abstract

In this work, we study the strong decay of the newly observed P cs (4459) assuming that it is a pure Ξ c D * molecular state. Considering two possible spin-parity assignments J P = 1/2 − and J P = 3/2 − the partial decay widths of the Ξ c D * molecular state into J/ψΛ, D − s Λ + c , and DΞ ( ′ ) c final states through hadronic loops are evaluated with the help of the effective Lagrangians. In comparison with the LHCb data, the spin-party J P = 1/2 − the assignment is preferred while this of J P = 3/2 − is disfavored. The P cs (4459) in spin-parity J P = 3/2 − case maybe explained as S -wave coupled bound state with lager Ξ c D * component. In addition, the calculated partial decay widths with J P = 1/2 − Ξ c D * molecular state picture indicates that allowed decay mode, DΞ ′ c , may have the biggest branching ratio. The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the P cs (4459).

Searching for strange hidden-charm pentaquark state $P_{cs}(4459)$ in $γp\to{}K^{+}P_{cs}(4459)$ reaction

“…[10] concluded that the P cs (4459) state was not a pure D * Ξ c molecular state. This is the same with our result [8] that the P cs (4459) can be explained as S -wave coupled molecular state with J P = 3/2 − . And we also proposed that a pure D * Ξ c molecular state with mass about 4459 and J P = 1/2 − could exist, and it mainly decays to Ξ ′ c D final state.…”

“…And the partial decay width of the molecular P cs (4459) into J/ψΛ is predicted to be larger for the J P = 3/2 − configuration than the J P = 1/2 − case, in agreement with the conclusions in Refs. [6,8]. With the quasipotential Bethe-Salpeter equation approach, Ref.…”

Possible $P$- wave $D_s\bar{D}_{s0}(2317)$ molecular state $Y^{'}(4274)$

“…With a value of the cutoff Λ = 0.9 − 1.1 GeV, the corresponding coupling constants shown in Fig 4. We note that they decrease slowly with the increase of the cut-off, and the coupling constant is almost independent of Λ, where the Y(4274) is P−wave D s D s0 (2317) molecular state. According to the studies in Refs [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] , a typical value of Λ = 1.0 GeV is often employed. Thus, in this work we take Λ = 1.0 GeV and the corresponding coupling constants are g YD s D s0 = 9.47 +0.79 −0.64 GeV 1/2 , which the error reflects variation in Λ from 0.9 to 1.1 GeV.…”

“…The introduced correlation function also makes the Feynman diagrams ultraviolet finite. Here we choose the Fourier transformation of the correlation to be a Gaussian form in the Euclidean space [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] ,…”

“…The value of Λ could not be determined from first principles, therefore it should better be determined by experimental data. It is usually chosen to be about 1 GeV, which depends on experimental total widths [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In this work, we vary Λ in a range of 0.9 GeV ≤ Λ ≤ 1.10 GeV to study whether the Y(4274) can be interpreted as P− wave molecule composed of D s D s0 (2317).…”