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Construction of $a_4$ family

Ya-Rong Wang, Cheng-Qun Pang, Hao Chen, Xiao-Hai Liu

Abstract

The COMPASS Collaboration recently reported the observation of a new resonance, $a_4(2610)$, which has sparked our interest in studying the $a_4$ family with {$I^GJ^{PC}=1^{-}4^{++}$}. In this work, we investigate the mass spectra and Okubo-Zweig-Iizuka-allowed two-body strong decays of the $a_4$ family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We also explore the possibility of identifying $a_4(2610)$ as a $4F$ or $2H$ state, {and our numerical results suggest that it could be a promising candidate for the $a_4(2H)$ state. In addition, we predict the masses and the widths of the $a_4(1H)$ and $a_4(3F)$ states.}

Construction of $a_4$ family

Abstract

The COMPASS Collaboration recently reported the observation of a new resonance, , which has sparked our interest in studying the family with {}. In this work, we investigate the mass spectra and Okubo-Zweig-Iizuka-allowed two-body strong decays of the family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We also explore the possibility of identifying as a or state, {and our numerical results suggest that it could be a promising candidate for the state. In addition, we predict the masses and the widths of the and states.}

Paper Structure

This paper contains 9 sections, 34 equations, 4 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. Verification of the assignment of the $a_4(2040)$ $a_4(1970)$ and the $a_4(2255)$
  7. Study of the new state $a_4(2610)$
  8. Prediction of the $a_4(1H)$ and $a_4(3F)$
  9. CONCLUSION

Figures (4)

  • Figure 1: The $\gamma$ dependence of the total decay width of $a_4(1970)$, where the corresponding experimental data are shown for comparison with our theoretical calculation. The experimental values are taken from the PDG ParticleDataGroup:2024cfk.
  • Figure 2: The $\gamma$ dependence of the total decay width of $a_4(2255)$, where the corresponding experimental data are shown for comparison with our theoretical calculation. The experimental values are taken from SPEC Anisovich:2001pn and E835 Uman:2006xb.
  • Figure 3: The $\gamma$ dependence of the total decay width of $a_4(2610)$ as $a_4(2H)$ and $a_4(2610)$ as $a_4(4F)$, where the corresponding experimental data are shown for comparison with our theoretical calculation. The experimental values are taken from COMPASS Beckers2025.
  • Figure 4: The $\gamma$ dependence of the total decay width of $a_4(1H)$ and $a_4(3F)$ .