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Can the X(1750) be a $ϕ (1750)$ ?

Institute of Physics and Research Centre for Computational Physics and Data Processing, Silesian University in Opava, 746 01 Opava, Czech Republic

Phys. Rev. D 111, L071903 – Published 14 April, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L071903

Abstract

We present the arguments that the X(1750) has the isospin $I = 0$ , and as such, it belongs to the $ϕ$ family. We base our argument on the X(1750) appearing in the $e^{+} e^{-} \to K^{+} K^{-}$ process as a narrow resonance and not appearing in the $e^{+} e^{-} \to π^{+} π^{-}$ process at all.

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D. Aston et al., Phys. Lett. 104B, 231 (1981).
These values can be found in the original paper [1] on page 232. The authors presented the discovery of $ϕ (1680)$ as the main result and somewhat sidelined the first appearance of X(1750).
M. Atkinson et al. (Omega Photon Collaboration), Z. Phys. C 27, 233 (1985); J. Busenitz et al., Phys. Rev. D 40, 1 (1989); J. M. Link et al. (FOCUS Collaboration), Phys. Lett. B 545, 50 (2002).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 101, 032008 (2020).
J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 88, 032013 (2013).
N. N. Achasov et al., Phys. Rev. D 94, 112006 (2016).
V. L. Ivanov (for the CMD-3 Collaboration), Yad. Fiz. 83, 444 (2020) [Phys. At. Nucl. 83, 731 (2020)].
The BABAR detector was situated at the PEP-II $e^{+} e^{-}$ collider operating at the cms energy of 10.58 GeV. Experimentalists investigated the process $e^{+} e^{-} \to K^{+} K^{-} γ$ in which the photon carried away some energy, so the invariant energy of the $K^{+} K^{-}$ system varied in a wide range, and the corresponding $e^{+} e^{-} \to K^{+} K^{-}$ cross sections were extracted.
As always, we find the program MINUIT by F. James and M. Roos [Comput. Phys. Commun. 10, 343 (1975)] to be extremely useful.
The minimalization program offered us this background description, which we found acceptable.
If adding systematic errors to the statistical ones quadratically, the result would be $χ^{2} / NDF = 93.7 / 95$ ( $CL = 52 %$ ).
J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 86, 032013 (2012).
Notice the trace of $ϕ (1020)$ in Fig. 3, as an example.

Phys. Rev. D 111, L071903– Published 14 April, 2025

Vol. 111, Iss. 7 — 1 April 2025

Received 19 February 2025
Accepted 25 March 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L071903

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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Can the X(1750) be a $ϕ (1750)$ ?

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Can the X(1750) be a ϕ(1750)?

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Can the X(1750) be a $ϕ (1750)$ ?