Determination of the spin and parity of all-charm tetraquarks.

CMS Collaboration · Nature · 2025

basic_science · Level V

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Abstract

The traditional quark model<sup>1,2</sup> accounts for the existence of baryons, such as protons and neutrons, which consist of three quarks, as well as mesons, composed of a quark-antiquark pair. Only recently has substantial evidence started to accumulate for exotic states composed of four or five quarks and antiquarks<sup>3</sup>. The exact nature of their internal structure remains uncertain<sup>4-29</sup>. Here we report the first measurement of quantum numbers of the recently discovered family of three all-charm tetraquarks<sup>30-32</sup>, using data collected by the CMS experiment at the Large Hadron Collider from 2016 to 2018 (refs. <sup>33,34</sup>). The angular analysis techniques developed for the discovery and characterization of the Higgs boson<sup>35-37</sup> have been applied to the new exotic states. Here we show that the quantum numbers for parity P and charge conjugation C symmetries are found to be +1. The spin J of these exotic states is determined to be consistent with 2ħ, while 0ħ and 1ħ are excluded at 95% and 99% confidence levels, respectively. The J<sup>PC</sup> = 2<sup>++</sup> assignment implies particular configurations of constituent spins and orbital angular momenta, which constrain the possible internal structure of these tetraquarks.