New Narrow Boson Resonances and SU(4) Symmetry-Selection Rules, SU(4) Mixing and Mass Formulas

Takasugi, E.; Oneda, S.

doi:10.1103/PhysRevD.12.198

New Narrow Boson Resonances and SU(4) Symmetry-Selection Rules, SU(4) Mixing and Mass Formulas

E. Takasugi
(
- Maryland U.
)
,
S. Oneda
(
- Maryland U.
)

Feb, 1975

24 pages

Published in:

Phys.Rev.D 12 (1975) 198

DOI:

10.1103/PhysRevD.12.198

Report number:

MdDP-TR-75-059

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Abstract: (APS)

General SU(4) sum rules are obtained for bosons in the theoretical framework of asymptotic SU(4), chiral SU(4) ⊗ SU(4) charge algebra, and a simple mechanism of SU(4) and chiral SU(4) ⊗ SU(4) breaking. The sum rules exhibit a remarkable interplay of the masses, SU(4) mixing angles, and axial-vector matrix elements of 16-plet boson multiplets. Under a particular circumstance (i.e., in the "ideal" limit) this interplay produces selection rules which may explain the remarkable stability of the newly found narrow boson resonances. General SU(4) mass formulas and inter-SU(4)-multiplet mass relations are derived and SU(4) mixing parameters are completely determined. Ground state 1−− and 0−+ 16-plets are especially discussed and the masses of charmed and uncharmed new members of these multiplets are predicted.

SYMMETRY: SU(4)
SYMMETRY: SU(4) X SU(4)
SYMMETRY: CHIRAL
SYMMETRY: BROKEN
SUM RULE
CURRENT ALGEBRA
BOSON: MULTIPLET
MULTIPLET: BOSON
MASS: FORMULA
J/psi(3100): DECAY MODES

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