Hidden-heavy pentaquarks and where to find them

We provide a simple explanation for the observed hidden-charm pentaquarks as bound states in Born-Oppenheimer potentials. We identify P c c ¯ ( 4312 ) + , P c c ¯ ( 4440 ) + , and P c c ¯ ( 4457 ) + as heavy-quark spin states in a quartet of c c ¯ pentaquarks with J P quantum numbers 1 2 − , 3 2 − , and 5 2 − . The quantum numbers of P c c ¯ ( 4457 ) + differ from most previous predictions. We also predict a fourth c c ¯ pentaquark with quantum numbers 3 2 − near the Σ c * D ¯ threshold. We identify P c c ¯ s ( 4338 ) 0 and P c c ¯ s ( 4459 ) 0 as heavy-quark spin states in a triplet of c c ¯ s pentaquarks with quantum numbers 1 2 − and either 1 2 − or 3 2 − . We also predict a third c c ¯ s pentaquark with quantum numbers either 3 2 − or 1 2 − near the Ξ c D ¯ * threshold. We explain why the observed hidden-charm pentaquarks have narrow widths.