Abstract :
[en] We generalize to five distinct flavors the flavor-spin hyperfine interaction introduced previously for four flavors and used in the study of uudcc¯ pentaquark. As a particular case here we study the lowest states of the pentaquark uudbb¯ , of either positive or negative parity, in a constituent quark model with linear confinement and the presently extended hyperfine interaction. The positive parity states have one unit of angular momentum located in the subsystem of four quarks and are described by translationally invariant states of orbital permutation symmetry [31] O which requires the configuration s3p . The negative parity states are described by the configuration s4 of permutation symmetry [4] O . We show that the lowest state has the quantum numbers JP = 1 / 2 + or 3 / 2 + and I = 1/2 and is located below the Σ bB threshold by - 132 MeV. We present a comparison between the spectra of uudcc¯ and uudbb¯ pentaquarks.
Funding text :
This work has been supported by th Fonds de la Recherche Scientifique—FNRS, Belgium, under the grant number 4.4503.19.
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