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$3^{++}$ light meson family

Hao Chen, Yan-Yue Fan, Yun-Hai Zhang, Cheng-Qun Pang

TL;DR

The paper addresses unresolved spectroscopic assignments within the $J^{PC}=3^{++}$ light-meson family by applying the modified Godfrey-Isgur model with color screening to obtain the spectrum and the $^3P_0$ quark-pair creation model to compute OZI-allowed decays. The analysis assigns $a_3(1875)$ and $a_3(2030)$ as the same $1F$ ground state, while $f_3(2050)$ is the $1F$ ground state and $a_3(2275)$, $f_3(2300)$ are the first radial excitations, with higher excitations predicted at substantially lower masses than in the original GI framework due to screening. The work also provides detailed decay patterns and width predictions for the ground and excited $3^{++}$ states, and extends predictions to the second and third excitations to guide future experiments. Overall, the combined spectral and decay analysis clarifies the structure of the $3^{++}$ light-meson family and offers concrete experimental signatures for identification of higher states.

Abstract

As members of the $J^{PC}=3^{++}$ light meson family, the assignments of the $a_3(1875)$, $a_3(2030)$, $a_3(2275)$, $f_3(2050)$, and $f_3(2300)$ states remain unclear. In this work, we investigate the mass spectra and the Okubo-Zweig-Iizuka-allowed two-body strong decays of the $3^{++}$ light meson family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We explore the identification of the $a_3(1875)$, $a_3(2030)$, $a_3(2275)$, $f_3(2050)$, and $f_3(2300)$ states. Additionally, we predict the masses and widths of the higher excitations in the $3^{++}$ light meson family.

$3^{++}$ light meson family

TL;DR

The paper addresses unresolved spectroscopic assignments within the light-meson family by applying the modified Godfrey-Isgur model with color screening to obtain the spectrum and the quark-pair creation model to compute OZI-allowed decays. The analysis assigns and as the same ground state, while is the ground state and , are the first radial excitations, with higher excitations predicted at substantially lower masses than in the original GI framework due to screening. The work also provides detailed decay patterns and width predictions for the ground and excited states, and extends predictions to the second and third excitations to guide future experiments. Overall, the combined spectral and decay analysis clarifies the structure of the light-meson family and offers concrete experimental signatures for identification of higher states.

Abstract

As members of the light meson family, the assignments of the , , , , and states remain unclear. In this work, we investigate the mass spectra and the Okubo-Zweig-Iizuka-allowed two-body strong decays of the light meson family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We explore the identification of the , , , , and states. Additionally, we predict the masses and widths of the higher excitations in the light meson family.
Paper Structure (10 sections, 39 equations, 3 figures, 7 tables)

This paper contains 10 sections, 39 equations, 3 figures, 7 tables.

Table of Contents

  1. Introduction
  2. Models employed in this work
  3. The modified GI model
  4. The QPC model
  5. Numerical results and phenomenological analysis
  6. Mass spectra analysis
  7. Strong decay analysis
  8. Predictions of the ground and the first excited states of the light $3^{++}$ meson family
  9. Predictions of the second and the third excited states of the light $3^{++}$ meson family
  10. Conclusion

Figures (3)

  • Figure 1: The $\theta$ dependence of the total decay widths for $f_3(1F)$ and $f_3^\prime(1F)$, with the corresponding experimental data Anisovich:2000ut (represented by a blue band) being presented alongside our theoretical calculation for comparison.
  • Figure 2: The $\theta$ dependence of the total decay widths for $f_3(2F)$ and $f_3^\prime(2F)$, with the corresponding experimental data Bugg:2004rj (represented by a blue band) being presented alongside our theoretical calculation for comparison.
  • Figure 3: The $\theta$ dependence of the total decay widths for $f_3(3F)$, $f_3^\prime(3F)$, $f_3(4F)$, and $f_3^\prime(4F)$.