Abstract
As already mentioned in Sect. 3.1 an active rotation of the physical system is represented by the operator.
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Notes
- 1.
- 2.
The components of the antiquark isospinor are also written (\(-\overline {d}\), \(\overline {u}\)) in the literature. The π +, π 0 and π − wavefunctions are then given by \(-|u\overline {d}\rangle \), \(\frac {1}{\sqrt {2}}|u\overline {u}-d\overline {d}\rangle \) and \(+|d\overline {u}\rangle \), respectively.
- 3.
The CP = +1 eigenstate is then K 1 = \(\frac {1}{\sqrt {2}}(|K^0\rangle + |\overline {K}^0\rangle )\).
- 4.
This is true in the absence of isospin mixing. The decays of both mesons into \(\overline {K}K\) induces isospin breaking transitions from one state to the other via \(\overline {K}K\) loops. There is experimental evidence that the mixing angle differs significantly from the \(\cos 45^\circ = \frac {1}{\sqrt {2}}\) assumed in the superpositions (6.45) [1].
References
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Hammermesh, M.: Group Theory and Its Application to Physical Problems. Addison-Wesley, Reading (1962)
Tanabashi, M., et al. (Particle Data Group): Phys. Rev. D 98, 030001 (2018)
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Amsler, C. (2018). SU(2). In: The Quark Structure of Hadrons. Lecture Notes in Physics, vol 949. Springer, Cham. https://doi.org/10.1007/978-3-319-98527-5_6
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