Decay properties of $$P_c$$ states through the Fierz rearrangement

Abstract

We systematically study hidden-charm pentaquark currents with the quark configurations $$[\bar{c} u][u d c]$$ [ c ¯ u ] [ u d c ] , $$[\bar{c} d][u u c]$$ [ c ¯ d ] [ u u c ] , and $$[\bar{c} c][u u d]$$ [ c ¯ c ] [ u u d ] . Some of their relations are derived using the Fierz rearrangement of the Dirac and color indices, and the obtained results are used to study strong decay properties of $$P_c$$ P c states as $$\bar{D}^{(*)} \varSigma _c$$ D ¯ ( ∗ ) Σ c hadronic molecules. We calculate their relative branching ratios for the $$J/\psi p$$ J / ψ p , $$\eta _c p$$ η c p , $$\chi _{c0} p$$ χ c 0 p , $$\chi _{c1} p$$ χ c 1 p , $$\bar{D}^{(*)0} \varLambda _c^+$$ D ¯ ( ∗ ) 0 Λ c + , $$\bar{D}^{0} \varSigma _c^{+}$$ D ¯ 0 Σ c + , and $$\bar{D}^{-} \varSigma _c^{++}$$ D ¯ - Σ c + + decay channels. We propose to search for the $$P_c(4312)$$ P c ( 4312 ) in the $$\eta _c p$$ η c p channel and the $$P_c(4440)/P_c(4457)$$ P c ( 4440 ) / P c ( 4457 ) in the $$\bar{D}^{0} \varLambda _c^+$$ D ¯ 0 Λ c + channel.

Strong decays of the newly $$P_{cs}(4459)$$ as a strange hidden-charm $$\Xi _c{\bar{D}}^*$$ molecule

“…So far, many groups have discussed the strong decay behaviors of the P c states in the meson-baryon hadronic molecular picture. For example, the decay branch fraction of P c → η c p and P c → J/ψ p processes were predicted by using the heavy quark symmetry [9][10][11][12][13][14][15]. The effective Lagrangian method was adopted to study the partial widths of all the allowed decay channels for these P c states at the hadronic level [16].…”

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

“…So far, many groups have discussed the strong decay behaviors of the P c states in the meson-baryon hadronic molecular picture. For example, the decay branch fraction of P c → η c p and P c → J/ψp processes were predicted by using the heavy quark symmetry [9][10][11][12][13][14][15]. The effective Lagrangian method was adopted to study the partial widths of all the allowed decay channels for these P c states at the hadronic level [16].…”

Covalent hadronic molecules induced by shared light quarks

“…We systematically study it using the method of QCD sum rules, and calculate the mass correction ∆M induced by this term. Note that the obtained results can be further applied to study production and decay properties of these hadronic molecular states [64][65][66].…”