Towards the LHCb pentaquark modes in the single-charm sector

Abstract

The mass spectrum of ${\Lambda }_c$ baryon family is investigated within the $DN$-$D^{\ast }N$ coupled-channel framework using two phenomenological approaches for the low-energy $D^{(\ast )}N$ interactions: the heavy quark effective theory and the flavor-symmetry-constrained effective Lagrangian method. It is shown that the LHCb pentaquark states have direct analogs in the ${\Lambda }_c$ family. Specifically, ${\Lambda }_c(2765)$, ${\Lambda }_c(2910)$, and ${\Lambda }_c(2940)$ mirror the patterns of $P_{c\bar{c}}(4312)$, $P_{c\bar{c}}(4440)$, and $P_{c\bar{c}}(4457)$, respectively. These mirror pentaquark modes offer valuable insights into the quantum numbers of the two heavy $P_{c\bar{c}}$ states, which remain experimentally undetermined. Further exploration of such correlations among exotic hadronic states across different flavor sectors will be crucial for developing a comprehensive theoretical understanding of the modern hadron spectrum.

Comments: 6 pages, 1 figure