Masses of the conjectured H-dibaryon for different channels at different temperatures

We present a lattice QCD spectroscopy study of the conjectured H dibaryon for 5 different channels at nine different temperatures. The H dibaryon operator is constructed with five different channels which are flavor singlet, flavor 27-plet, $\mathrm{\Lambda }\mathrm{\Lambda }$, $N\mathrm{\Xi }$ and $\mathrm{\Sigma }\mathrm{\Sigma }$. The nine different temperatures range from $T\mathrm{/}{T}_c=0.24$ to $T\mathrm{/}{T}_c=1.90$. The simulations are performed on anisotropic lattice with $N_f=2+1$ flavours of clover fermion at quark mass which corresponds to $m_{\pi }=384(4)\mathrm{M}\mathrm{e}\mathrm{V}$. The thermal ensembles were provided by the FASTSUM collaboration and the zero temperature ensembles by the Hadspec collaboration. The simulations show that the mass of H-dibaryon for 27-plet channel is the largest at different temperatures, while the mass for $\mathrm{\Sigma }\mathrm{\Sigma }$ channel is the lightest. We also calculate the spectral function of the correlation function of H dibaryon for five channels. The spectral density distributions exhibit similar behavior for the five channels. The mass differences $\mathrm{\Delta }m=m_H-2m_{\mathrm{\Lambda }}$ of H-dibaryon and $\mathrm{\Lambda }$ pair at $T\mathrm{/}{T}_c=0.24$ for five channels are also estimated. The results show that $\mathrm{\Delta }m=m_H-2m_{\mathrm{\Lambda }}$ for channels of 27-plet and $\mathrm{\Lambda }\mathrm{\Lambda }$ is positive, while $\mathrm{\Delta }m=m_H-2m_{\mathrm{\Lambda }}$ for channels of singlet, $N\mathrm{\Xi }$ and $\mathrm{\Sigma }\mathrm{\Sigma }$ is negative.