Mixing of the low-lying three- and five-quark $\Omega$ states with negative parity

Mixing of the low-lying three- and five-quark Ω states with spin-parity quantum numbers 12− and 32− is investigated, employing an instanton-induced quark-antiquark pair creation model, which precludes transitions between s3 and s4s¯ configurations. Models with hyperfine interactions between quarks are of three different kinds, namely, one-gluon-exchange (OGE), Goldstone-boson-exchange (GBE), and an instanton-induced interaction (INS). Numerical results show that the instanton-induced pair creation causes strong mixing between the three- and five-quark configurations with spin 3/2, and that this mixing decreases the energy of the lowest spin 3/2 states in all three different hyperfine interaction models to ∼1750±50 MeV. On the other hand, transition couplings between s3 and s3qq¯ states with spin 1/2 caused by instanton-induced qq¯ creation is very small and the resulting mixing of three- and five-quark configurations in the OGE and INS models is negligible, while the mixing of the spin 1/2 states in GBE model is not; but effects of this mixing on energies of mixed states are also very small. Accordingly, the lowest Ω states with negative parity in all three hyperfine interactions models have spin 3/2.

Note:

Accepted for publication in Phys. Rev. C

12.39.-x
14.20.Jn
14.20.Pt
quark: bound state
parity: negative
Goldstone particle: exchange
gluon: exchange
instanton: hyperfine structure
strangeness: 3
pentaquark

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Mixing of the low-lying three- and five-quark Ω\OmegaΩ states with negative parity

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Mesonzerfälle durch InstantonInduzierte Vertizes

Mixing of the low-lying three- and five-quark $\Omega$ states with negative parity