New ${\mathrm{\Lambda }}_b(6072{)}^0$ state as a $2S$ bottom baryon

As a result of continuous developments, the recent experimental searches lead to the observations of new particles at different hadronic channels. Among these hadrons are the excited states of the heavy baryons containing single bottom or charmed quark in their valance quark content. The recently observed ${\mathrm{\Lambda }}_b(6072{)}^0$ state is one of these baryons and possibly $2S$ radial excitation of the ${\mathrm{\Lambda }}_b$ state. Considering this information from the experiment, we conduct a QCD sum rule analysis on this state and calculate its mass and current coupling constant considering it as a $2S$ radially excited ${\mathrm{\Lambda }}_b$ resonance. For completeness, in the analyses, we also compute the mass and current coupling constant for the ground state ${\mathrm{\Lambda }}_b^0$ and its first orbital excitation. We also consider the ${\mathrm{\Lambda }}_c^{+}$ counterpart of each state and attain their mass, as well. The obtained results are consistent with the experimental data as well as existing theoretical predictions.

Figure 1

${\tilde{\mathrm{\Pi }}}_{\cancel{q}}^{\mathrm{QCD}}$ as a function of $\cos \theta$.

Figure 2

$m_{{\mathrm{\Lambda }}_b}(2S)$ as a function of $M^2$ at average values of the $\cos \theta$ and $s_0$.

Figure 3

$m_{{\mathrm{\Lambda }}_b}(2S)$ as a function of $s_0$ at average values of the $\cos \theta$ and $M^2$.