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Quark-Antiquark Nonets

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Part of the book series: Lecture Notes in Physics ((LNP,volume 949))

Abstract

Let us first deal with mesons made of the three lightest quarks u, d, s and \(\overline {u}\), \(\overline {d}\), \(\overline {s}\). As illustrated in Fig. 2.1, with three flavours and three antiflavours one can construct a nonet of mesons for each orbital mode, each vibrational mode and for each parallel and antiparallel spin.

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Notes

  1. 1.

    A reason often invoked is that boson masses enter quadratically in the Klein-Gordon wave equation. Squared masses also appear in chiral perturbation theories.

  2. 2.

    Note that the Landau-Yang theorem also forbids the decay of 3 mesons into two gluons, as well as all odd spin negative parity mesons (Appendix A).

References

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  2. Amsler, C., Masoni, A.: In: Tanabashi, M., et al. (Particle Data Group): Phys. Rev. D 98, 030001 (2018), p. 665

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  3. Tanabashi, M., et al. (Particle Data Group): Phys. Rev. D 98, 030001 (2018)

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  4. Landau, L.D.: Dokl. Akad. Nauk. 60, 207 (1948); Yang, C.N.: Phys. Rev. 77, 242 (1950)

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  5. Schwinger, J.: Phys. Rev. Lett. 12, 237 (1964)

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Amsler, C. (2018). Quark-Antiquark Nonets. In: The Quark Structure of Hadrons. Lecture Notes in Physics, vol 949. Springer, Cham. https://doi.org/10.1007/978-3-319-98527-5_5

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