Determine the quantum numbers of K(1630)

Determine the spin-parity quantum numbers of the K(1630) resonance, which are experimentally unknown, to establish whether it can be consistently identified with the dynamically generated strangeness-one, isospin-one-half resonance used in the phi K-star interaction.

Background

The analysis models the phi K-star interaction in the JP = 0+ sector using a resonance identified with the experimentally reported K(1630). The theoretical calculation generates a resonance near 1640 MeV with a width of approximately 48 MeV, while the Particle Data Group lists K(1630) with a mass near 1629 MeV and an uncertain width. Because the experimental spin-parity assignment is not known, determining these quantum numbers is necessary to validate the identification and the use of the K(1630) contribution in the three-body phi h_1(1380) dynamics underlying the proposed interpretation of X(2370).

References

As can be seen in Table III of Ref., for $JP=0+$, a resonance with strangeness 1, isospin $I=1/2$ is obtained with mass $\sim 1640$ MeV and $\Gamma\sim 48$ MeV. We identify this resonance with the $K(1630)$ reported by the PDG with unknown $JP$, mass $1629\pm 7$ MeV and $\Gamma\simeq 16{+19}_{-18}$ MeV.

— A glueball puzzle explained in terms of $φh_1(1380)$ dynamics: Aka $X(2370)$  (2609.37653 - Khemchandani et al., 29 Sep 2026) in Section 4, Results