Predicting exotic molecular states composed of nucleon and P-wave charmed meson

Abstract

In this work, we study the interaction between a nucleon and a $P$-wave charmed meson in the $T$ doublet by exchanging a pion. Our calculations indicate that a nucleon and a $P$-wave charmed meson with $J^P=0^{+}$ or $J^P=1^{+}$ in the $T$ doublet can form bound states. We propose the experimental search for these exotic molecular states near the $D_1(2420)N$ and $D_2^{\ast }(2460)N$ thresholds, where Belle, LHCb and the forthcoming Belle II have the discovery potential for them.

Comments: 10 pages, 4 tables, 3 figure. Accepted by Phys. Rev. D