Narrow Nucleon-ψ(2S) Bound State and LHCb Pentaquarks

Authors

Michael I. Eides, University of KentuckyFollow
Victor Yu. Petrov, Petersburg Nuclear Physics Institute, Russia
Maxim V. Polyakov, Petersburg Nuclear Physics Institute, Russia

Abstract

We interpret the newly discovered pentaquark P_c(4450) as a bound state of charmonium ψ(2S) and the nucleon. The binding potential is due to the charmonium-nucleon interaction that in the heavy quark approximation is proportional to the product of the charmonium chromoelectric polarizability and the nucleon energy-momentum distribution. We use the large Nc expansion to estimate the quarkonium polarizability and calculate the nucleon properties in the framework of the mean-field picture of light baryons. Two almost degenerate states J^P=(1/2)⁻ and J^P=(3/2)⁻ are predicted at the position of the P_c(4450) pentaquark. We find that the nucleon-ψ(2S) bound state has a naturally narrow width in the range of tens of MeV. The unitary multiplet partners of the P_c(4450) pentaquark and the generalization to bb¯-nucleon pentaquark bound states are discussed.

Document Type

Article

Publication Date

3-28-2016

Notes/Citation Information

Published in Physical Review D, v. 93, issue 5, 054039, p. 1-6.

© 2016 American Physical Society

The copyright holder has granted permission for posting the article here.

Digital Object Identifier (DOI)

https://doi.org/10.1103/PhysRevD.93.054039

Funding Information

This paper was supported by the NSF, Grant No. PHY-1402593. The work of V. P. is supported by the Russian Science Foundation, Grant No. 14-22-00281. M. V. P. is grateful to Hyun-Chul Kim and Michal Praszalowicz for fruitful discussions.

Repository Citation

Eides, Michael I.; Petrov, Victor Yu.; and Polyakov, Maxim V., "Narrow Nucleon-ψ(2S) Bound State and LHCb Pentaquarks" (2016). Physics and Astronomy Faculty Publications. 430.
https://uknowledge.uky.edu/physastron_facpub/430