Radiative decays of the $\Omega (2012)$ as a hadronic molecule

Abstract

We present a theoretical investigation of the radiative decay process $\Omega (2012)\to \gamma \Omega$, where the $\Omega (2012)$ resonance with spin-parity $J^P={\frac{3}{2}}^{-}$, is treated as a dynamically generated state from $\bar{K}\Xi (1530)$ and $\eta \Omega$ in $s$-wave and $\bar{K}\Xi$ in $d$-wave. The radiative decay width of the $\Omega (2012)$ is calculated using a triangular loop mechanism, where the $\Omega (2012)$ couples to the $\bar{K}\Xi (1530)$ channel. Subsequently, the final state interactions between $\Xi (1530)$ and $\bar{K}$ transition to a photon and $\Omega$ through the exchange of a $\Xi$ baryon. Our calculations yield a radiative decay width of $13.2_{-3.9}^{+4.5}$ KeV, with uncertainties arising from the model parameters. This result provides valuable insights into the nature of the $\Omega (2012)$ resonance and its decay dynamics. It is expected that the calculations presented here could be verified by future experiments, which would open a new door for studying the still elusive nature of the $\Omega (2012)$.

References in corpus (21)

• Nucleon and Delta resonances in K Sigma(1385) photoproduction from nucleons
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Photoproduction of Xi off nucleons
• Scattering of decuplet baryons in chiral effective field theory
• Low-lying $\Omega$ states with negative parity in an extended quark model with Nambu-Jona-Lasinio interaction
• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Interpretation of the ${\Omega }_c\to {\pi }^{+}\Omega (2012)\to {\pi }^{+}(\bar{K}\Xi )$ relative to ${\Omega }_c\to {\pi }^{+}\bar{K}\Xi$ from the $\Omega (2012)$ molecular perspective
• Scalar Lambda N and Lambda Lambda interaction in a chiral unitary approach
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Observation of $\Omega (2012{)}^{-}\to \Xi (1530)\bar{K}$ and measurement of the effective couplings of $\Omega (2012{)}^{-}$ to $\Xi (1530)\bar{K}$ and $\Xi \bar{K}$
• Photoproduction $\gamma p\to K^{+}\Lambda (1520)$ in an effective Lagrangian approach
• Identifying triple-strangeness $\Omega$ hyperons in light of recent experimental results
• Evidence for Two Excited ${\Omega }^{-}$ Hyperons
• Analysis of the $\gamma n\to K^{+}{\Sigma }^{-}(1385)$ photoproduction
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Analysis of the differential cross section and photon beam asymmetry data for $\gamma p\to {\eta }^{\prime }p$
• Observation of the $\Omega$(2012) baryon at the LHC
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• Analysis of the data for $\gamma p\to f_1(1285)p$ photoproduction