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