Heavy tetraquarks production at the LHC

Abstract

In the current work, spectroscopy and the possibility of observation at the LHC of tetraquarks composed of four heavy quarks are discussed. The tetraquarks concerned are ${T}_{4c}=[cc][\overline{c}\overline{c}]$, ${T}_{4b}=[bb][\overline{b}\overline{b}]$, and ${T}_{2[bc]}=[bc][\overline{b}\overline{c]}$. By solving the nonrelativistic Schr\"odinger equation, masses of these states are found with the hyperfine splitting that is accounted for. It is shown that masses of tensor tetraquarks ${T}_{4c}({2}^{++})$ and ${T}_{2[bc]}({2}^{++})$ are high enough to observe these states as peaks in the invariant mass distributions of heavy quarkonia pairs in $pp\ensuremath{\rightarrow}{T}_{4c}+X\ensuremath{\rightarrow}2J/\ensuremath{\psi}+X$, $pp\ensuremath{\rightarrow}{T}_{2[bc]}+X\ensuremath{\rightarrow}2{B}_{c}+X$ and $pp\ensuremath{\rightarrow}{T}_{2[bc]}+X\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\Upsilon}(1S)+X$ channels, while ${T}_{4b}$ is under the threshold of decay into a vector bottomonia pair.