Towards the LHCb pentaquark modes in the single-charm sector

TL;DR

This paper explores the connection between LHCb pentaquark states and the $\Lambda_c$ baryon family using coupled-channel models, revealing analogs that help understand their quantum numbers and the broader hadron spectrum.

Contribution

It demonstrates that LHCb pentaquark states have direct $\Lambda_c$ counterparts, providing new insights into their quantum numbers and the structure of exotic hadrons.

Findings

LHCb pentaquarks have $\Lambda_c$ analogs.

Mirror modes help determine quantum numbers.

Highlights correlations across flavor sectors.

Abstract

The mass spectrum of $\Lambda_c$ baryon family is investigated within the $DN$-$D^*N$ coupled-channel framework using two phenomenological approaches for the low-energy $D^{(*)} N$ 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.