On the possible virtual state nature of the LHCb Pc$(4312{)}^{+}$ signal

Abstract

In this contribution we study the nature of the new Pc$(4312{)}^{+}$ signal reported by LHCb collaboration in the $J/\psi p$ spectrum. We use $S$-matrix principles to perform a minimum-bias analysis of the data, focusing on the analytic properties that can be related to the microscopic origin of the Pc$(4312{)}^{+}$ peak. Using the scattering length approximation we find evidence for interpretation of the signal as a virtual state generated by the attractive effect of the ${\Sigma }_c^{+}{\bar{D}}^0$ channel opening.

Comments: 4 pages, 2 figures, XLIII Symposium on Nuclear Physics, Cocoyoc, Mexico, January 6-9, 2020. To be published in Journal of Physics Conference Series