Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

Abstract We study a few of the lowest states of the pentaquark $$uudc\overline{c}$$ uudcc¯ , of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with o...

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Main Author: Fl. Stancu
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7474-0
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author Fl. Stancu
author_facet Fl. Stancu
author_sort Fl. Stancu
collection DOAJ
description Abstract We study a few of the lowest states of the pentaquark $$uudc\overline{c}$$ uudcc¯ , of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$ 1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$ 1/2- and the $$1/2^+$$ 1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.
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spelling doaj.art-3aefa8ec032041938474f3f2be6613dc2022-12-22T00:57:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-11-01791111210.1140/epjc/s10052-019-7474-0Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interactionFl. Stancu0Université de Liège, Institut de PhysiqueAbstract We study a few of the lowest states of the pentaquark $$uudc\overline{c}$$ uudcc¯ , of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$ 1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$ 1/2- and the $$1/2^+$$ 1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.http://link.springer.com/article/10.1140/epjc/s10052-019-7474-0
spellingShingle Fl. Stancu
Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
European Physical Journal C: Particles and Fields
title Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
title_full Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
title_fullStr Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
title_full_unstemmed Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
title_short Spectrum of the $$uudc \bar{c}$$ uudcc¯ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction
title_sort spectrum of the uudc bar c uudcc¯ hidden charm pentaquark with an su 4 flavor spin hyperfine interaction
url http://link.springer.com/article/10.1140/epjc/s10052-019-7474-0
work_keys_str_mv AT flstancu spectrumoftheuudcbarcuudcchiddencharmpentaquarkwithansu4flavorspinhyperfineinteraction