Exploration of the doubly charmed molecular pentaquarks

摘要

We perform a systematic study on the interactions of the Σ c ( * ) D ( * ) systems within the framework of chiral effective field theory. We introduce the contact term, one-pion-exchange and two-pion-exchange contributions to describe the short-, long-, and intermediate-range interactions. The low energy constants of the Σ c ( * ) D ( * ) systems are estimated from the N N ˉ scattering data by introducing a quark level Lagrangian. With three solutions of LECs, all the Σ c ( * ) D ( * ) systems with isospin I = 1 / 2 can form bound states, in which different inputs of LECs may lead to distinguishable mass spectra. In addition, we also investigate the interactions of the charmed-bottom Σ c ( * ) B ˉ ( * ) , Σ b ( * ) D ( * ) , and Σ b ( * ) B ˉ ( * ) systems. Among the obtained bound states, the bindings become deeper when the reduced masses of the corresponding systems are heavier.