Abstract
We study pentaquark states of both light $q^4\bar q$ and hidden heavy $q^3 Q\bar Q$ (q = u,d,s quark in SU(3) flavor symmetry; Q = c, b quark) systems with a general group theory approach in the constituent quark model, and the spectrum of light baryon resonances in the ansatz that the $l=1$ baryon states may consist of the $q^3$ as well as $q^4\bar q$ pentaquark component. The model is fitted to ground state baryons and light baryon resonances which are believed to be normal three-quark states. The work reveals that the $N(1535)1/2^{-}$ and $N(1520)3/2^-$ may consist of a large $q^4\bar q$ component while the $N(1895)1/2^{-}$ and $N(1875)3/2^-$ are respectively their partners, and the $N^+(1685)$ might be a $q^4\bar q$ state. By the way, a new set of color-spin-flavor-spatial wave function for $q^3 Q\bar Q$ systems in the compact pentaquark picture are constructed systematically for studying hidden charm pentaquark states.
Highlights
Baryon resonance spectrum has been studied over decades, but theoretical results are still largely inconsistent with experimental data
We study pentaquark states of both light q4qand hidden heavy q3QQ (q 1⁄4 u; d; s quark in SU(3) flavor symmetry; Q 1⁄4 c, b quark) systems with a general group theory approach in the constituent quark model, and the spectrum of light baryon resonances in the ansatz that the l 1⁄4 1 baryon states may consist of the q3 as well as q4qpentaquark component
In this work we study the role of pentaquark components in low-lying baryon resonance states
Summary
Baryon resonance spectrum has been studied over decades, but theoretical results are still largely inconsistent with experimental data. The baryon states including pentaquark components have been studied in the light quark sectors for Roper resonance [15], Nð1535Þ [16,17,18] to give a better explanation of the experimental results like transitions amplitudes and form factors. The details of q3 wave functions as well as the construction of q3QQpentaquark wave functions are shown in the Appendices
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