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Quantum numbers of the pentaquark states ${{\rm{P}}}_{{\rm{c}}}^{+}$ via symmetry analysis
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Chong-yao Chen,Muyang Chen,Yu-Xin Liu
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Table 2. Spin-flavor decomposition of the three flavor q4 states (taken from reference [47]. The subscripts stand for the dimensions of the IRREP).
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[f]O | SUFS(6) | | SUF(3) | ⨂ | SUS(2) |
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[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 |
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