ELASTIC SCATTERING OF PSEUDOSCALAR MESONS AND SUn SYMMETRY
The crossing matrix for scattering X/sub n/ + X/sub n/ yields X/sub n/ + X/sub n/ of a multiplet of scalar mesons X/sub n/ which transform accordin of to the regular representation of SU/sub n/, for all n is derived. For n = 3, or octet symmetry, in the limit of neglecting in elastic coupled channels it is found that, if the J/sup P/ = 1/sup -/ 8' channel resonates, so also should the other two 1/sup -/ channels 10 and 10. These decuplets resonate at essentially the sa mass as the 8', barring what are probably small correction from crossed 0/ sup */ channels 8 and 27. Similarly, for general n, all J/sup P/ = 1/sup -/ channels should resonate together. Application of the Gell-Mann and Okubo mass- splitting formula to the degenerate 8', 10, and 10 leaves the 10 and 10 in energy regions that were explored in experiments, at least if one assumes the 725-Mev (K pi ) resonance is a member of the decuplet. However, effects from coupled inelastic channels such as X/sub n/+ V/sub n/ yields X/sub n/ + V/sub n/ (V/sub n/ is J/sup P/= 1/sup -/ multiplet) may remove the mass degeneracy in the limit before symmetrybreaking effects are introduced. The crossing relations for n = 3 and V/sub 3/ = 8', 10, 10 are examined and shown to be consistent with this explanation. For n = 3, the X/sub 3/ + X/sub 3/ yields X/sub 3/ + X/sub 3/ crossing relations favor a pseudoscalar, rather than a scalar octet X/sub 3/. (auth)
- Research Organization:
- Univ. of California, Berkeley
- NSA Number:
- NSA-17-039920
- OSTI ID:
- 4622701
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Vol. Vol: 132; Other Information: Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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