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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Format: | Article |
Language: | English |
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SpringerOpen
2019-11-01
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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. |
first_indexed | 2024-12-11T17:18:52Z |
format | Article |
id | doaj.art-3aefa8ec032041938474f3f2be6613dc |
institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-12-11T17:18:52Z |
publishDate | 2019-11-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |