Pentaquark interpretation of $$\Lambda _{c}$$ Λ c states in the quark model

Abstract

Abstract Motivated by the recent observation of the $$\Lambda _c(2910)^+$$ Λ c ( 2910 ) + state in the $$\Sigma _{c}(2455)^{0,++}\pi ^{\pm }$$ Σ c ( 2455 ) 0 , + + π ± spectrum by the Belle Collaboration, we investigate the explanation of $$\Lambda _{c}$$ Λ c states within the pentaquark framework using the quark delocalization color screening model (QDCSM). To check for bound states and resonance states, we utilize the real-scaling method. Additionally, we calculate the root mean square of cluster spacing to study the structure of the states and further estimate whether a state is a resonance state or not. Our numerical results show that $$\Lambda _{c}(2910)$$ Λ c ( 2910 ) cannot be interpreted as a molecular state, and $$\Sigma _{c}(2800)$$ Σ c ( 2800 ) cannot be explained as the ND molecular state with $$J^P=1/2^-$$ J P = 1 / 2 - . However, we find that $$\Lambda _{c}(2595)$$ Λ c ( 2595 ) can be interpreted as a molecular state with $$J^P=\frac{1}{2}^-$$ J P = 1 2 - , where the main component is $$\Sigma _{c}\pi $$ Σ c π . Similarly, we interpret $$\Lambda _{c}(2625)$$ Λ c ( 2625 ) as a molecular state with $$J^P=\frac{3}{2}^-$$ J P = 3 2 - , where the main component is $$\Sigma _{c}^{*}\pi $$ Σ c ∗ π . We also suggest that $$\Lambda _{c}(2940)$$ Λ c ( 2940 ) is likely to be interpreted as a molecular state with $$J^P=3/2^-$$ J P = 3 / 2 - , where the main component is $$ND^{*}$$ N D ∗ . In addition, we predict two new states: a $$J^P=3/2^-$$ J P = 3 / 2 - $$\Sigma _{c}\rho $$ Σ c ρ resonance state with a mass of 3140–3142 MeV, and a $$J^P=\frac{5}{2}^-$$ J P = 5 2 - $$\Sigma _{c}^*\rho $$ Σ c ∗ ρ state with a mass about 3187–3188 MeV.