English

Does $\psi(4660)$ exist?

High Energy Physics - Phenomenology 2026-05-06 v1

Abstract

We investigate SS-wave coupled-channel effects in e+ee^+e^- annihilation in the energy region s[4.0,5.5]GeV\sqrt{s}\in[4.0,5.5]\,\mathrm{GeV}, including the open-charm final states Λc+Λˉc\Lambda_c^+\bar{\Lambda}_c^-, Ξc+Ξˉc\Xi_c^+\bar{\Xi}_c^-, Ξc0Ξˉc0\Xi_c^0\bar{\Xi}_c^0, and ψ(2S)π+π\psi(2S)\pi^+\pi^-. Motivated by the recent high-precision BESIII measurements of the e+eΛc+Λˉce^+e^-\to\Lambda_c^+\bar{\Lambda}_c^- cross section, which shows a nearly flat lineshape around 4.66 GeV4.66~\mathrm{GeV} and a non-zero value right at threshold, in striking contrast to earlier Belle observation, we construct an effective coupled-channel framework by using short-ranged contact potentials in the heavy-quark limit.Two charmonium states, i.e. the ψ(4360)\psi(4360) and ψ(4660)\psi(4660), assigned as the 4S4S and 5S5S excitations, respectively, are explicitly included. The scattering amplitudes are obtained by solving the Lippmann-Schwinger equation.The Belle and BESIII e+eΛc+Λˉce^+e^-\to\Lambda_c^+\bar{\Lambda}_c^- and e+eψ(2S)π+πe^+e^-\to\psi(2S)\pi^+\pi^- cross-sections reveal markedly different pole structures for the ψ(4360)\psi(4360). It emerges as a dynamically generated state for the Belle data, whereas it appears as a bare state in the BESIII fit. In contrast, the ψ(4660)\psi(4660) pole found on the unphysical Riemann sheet above the Λc+Λˉc\Lambda_c^+\bar{\Lambda}_c^- threshold is associated with a bare pole on the real axis in both fits.

Keywords

Cite

@article{arxiv.2605.03320,
  title  = {Does $\psi(4660)$ exist?},
  author = {Xian-Chen Wang and Quanxing Ye and Qian wang},
  journal= {arXiv preprint arXiv:2605.03320},
  year   = {2026}
}

Comments

16 pages, 5 figures

R2 v1 2026-07-01T12:49:46.894Z