Higher mass spectra of the fully-charmed and fully-bottom tetraquarks

In this work, we calculate the higher mass spectra for $2S$- and $1D$-wave fully-charmed fully-bottom tetraquark states in a nonrelativistic potential quark model. The $2S$-wave fully-charmed/bottom lie range of $\ensuremath{\sim}(6.9,7.1)/(19.7,19.9)\text{ }\mathrm{GeV}$, apart from highest ${0}^{++}$ state ${T}_{(cc\overline{c}\overline{c}){0}^{++}}(7185)/{T}_{(bb\overline{b}\overline{b}){0}^{++}}(19976)$. Most highly overlap with high-lying $1P$-wave states. masses are predicted to be $\ensuremath{\sim}(6.7,7.2)/(19.5,20.0)\text{ }\text{ }\mathrm{GeV}$. $D$-wave cover most $P$-wave whole narrow structure $X(6900)$ recently observed at LHCb di-$J/\ensuremath{\psi}$ invariant spectrum may caused by $1P$-, or $2S$-, ${T}_{(cc\overline{c}\overline{c})}$ vague $X(7200)$ ${T}_{(cc\overline{c}\overline{c}){0}^{++}}(7185)$, two low-lying $3S$-wave ${T}_{(cc\overline{c}\overline{c}){0}^{++}}(7240)$ ${T}_{(cc\overline{c}\overline{c}){2}^{++}}(7248)$, and/or around 7.2 GeV ${J}^{PC}={0}^{++},{1}^{++},{2}^{++},{3}^{++}$, ${4}^{++}$. While it is apparent that model calculations predict more than structures spectrum, our will help further understanding properties these fully-heavy their strong magnetic interactions open channels based on explicit wave functions.