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Light S-wave pentaquarks on the light front

Fangcheng He1,*, Edward Shuryak1,†, Wan Wu1,2,‡, and Ismail Zahed1,§

  • *Contact author: fangcheng.he@stonybrook.edu
  • †Contact author: edward.shuryak@stonybrook.edu
  • ‡Contact author: wuw20@mails.tsinghua.edu.cn
  • §Contact author: ismail.zahed@stonybrook.edu
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Phys. Rev. D 113, 054015 – Published 9 March, 2026

DOI: https://doi.org/10.1103/q4gt-2g69

Abstract

We construct an explicit basis set for pentaquark states on a regular 4-simplex, that diagonalizes the Hamiltonian for light pentaquarks with confinement on the light front (LF). The ensuing eigenstates are free of the center of mass motion and satisfy exact Dirichlet boundary conditions. Hyperfine interactions in the form of color-spin or flavor-spin are shown to lift the degeneracy of the 16 pentastates, with a spectrum that compares fairly with some of the empirical nucleon excited states. The quark PDF for the light pentastates is discussed.

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References (14)

  1. N. Miesch, E. Shuryak, and I. Zahed, Phys. Rev. D 112, 074017 (2025).
  2. P. Wiecki, Y. Li, X. Zhao, P. Maris, and J. P. Vary, Phys. Rev. D 91, 105009 (2015).
  3. N. Miesch, E. Shuryak, and I. Zahed, arXiv:2510.23404.
  4. E. Shuryak and I. Zahed, Phys. Rev. D 107, 034026 (2023).
  5. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960).
  6. H. R. Krishnamurthy, H. Mani, and H. C. Verma, J. Phys. A 15, 2131 (1982).
  7. L. Y. Glozman and D. O. Riska, Phys. Rep. 268, 263 (1996).
  8. C. Helminen and D. O. Riska, Nucl. Phys. A699, 624 (2002).
  9. N. Isgur, Phys. Rev. D 62, 054026 (2000).
  10. L. Y. Glozman, arXiv:nucl-th/9909021.
  11. A. Kock, Y. Liu, and I. Zahed, Phys. Rev. D 102, 014039 (2020).
  12. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  13. J. P. Vary, H. Honkanen, J. Li, P. Maris, S. J. Brodsky, A. Harindranath, G. F. de Teramond, P. Sternberg, E. G. Ng, and C. Yang, Phys. Rev. C 81, 035205 (2010).
  14. S. Jia and J. P. Vary, Phys. Rev. C 99, 035206 (2019).

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Phys. Rev. D 113, 054015– Published 9 March, 2026
  • Received 20 October 2025
  • Accepted 6 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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