$J^P$ Assignments of $\Lambda_c^+$ Baryons

TL;DR

This paper uses a mass loaded flux tube model with a diquark approach to assign quantum numbers to $\Lambda_c^+$ baryons, successfully describing known candidates and proposing specific $J^P$ values for several states.

Contribution

It provides a novel application of the flux tube model with diquark assumptions to assign quantum numbers to $\Lambda_c^+$ baryons, aligning with experimental data.

Findings

All $\Lambda_c^+$ candidates in PDG 2008 are well described.

Proposes specific $J^P$ assignments for $\Lambda_c(2765)^+$ and $\Lambda_c(2940)^+$.

Predicts no $J^P=1/2^+$ $\Lambda_c$ state around 2700 MeV.

Abstract

The "good" diquark is employed to study $\Lambda_c^{+}$ baryons within a mass loaded flux tube model. The study indicates that all $\Lambda_c^{+}$ baryons candidates in the 2008 review by the Particle Data Group (PDG) are well described in the mass loaded flux tube model. The quantum numbers $J^P$ of these $\Lambda_c^{+}$ candidates are assigned. If $\Lambda_c(2765)^{+}$ is an orbitally excited $\Lambda^+_c$, it is likely the $J^P={3\over 2}^+$ one. If $\Lambda_c(2765)^+$ is an orbitally excited $\Sigma_c$, there ought to be another $J^P={3\over 2}^+$ $\Lambda^+_c$ with mass $\approx 2770$ MeV. In the model, there exists no $J^P={1\over 2}^+$ $\Lambda_c(\approx 2700)^+$ predicted in existing literature. $\Lambda_c(2940)^{+}$ is very possible the orbitally excited baryon with $J^P={5\over 2}^-$.