Quantum numbers of the pentaquark states ${{\rm{P}}}_{{\rm{c}}}^{+}$ via symmetry analysis
Chong-yao Chen,Muyang Chen,Yu-Xin Liu
Table 2. Spin-flavor decomposition of the three flavor q4 states (taken from reference [47]. The subscripts stand for the dimensions of the IRREP).
[f]OSUFS(6)SUF(3)⨂SUS(2)
[4][4]126[4]15⨂[4]5
[31]15⨂[31]3
[22]6⨂[22]1
[31][31]210[4]15⨂[31]3
[31]15⨂[4]5
[31]15⨂[31]3
[31]15⨂[22]1
[22]6⨂[31]3
[211]3⨂[22]1
[211]3⨂[31]3
[22][22]105[4]15⨂[22]1
[31]15⨂[31]3
[22]6⨂[4]5
[22]6⨂[22]1
[211]3⨂[31]3
[211][211]105[31]15⨂[31]3
[31]15⨂[22]1
[22]6⨂[31]3
[211]3⨂[4]5
[211]3⨂[31]3
[211]3⨂[22]1
[1111][1111]15[22]6⨂[22]1
[211]3⨂[31]3