Mixing and decays of the antidecuplet in context of approximate SU(3) symmetry
- Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
We consider mixing of the antidecuplet with three JP = 1/2+ octets (the ground-state octet, the octet containing N(1440), {lambda}(1600), {sigma}(1660) and {xi}(1690) and the octet containing N(1710), {lambda}(1800), {sigma}(1880) and {xi}(1950)) in the framework of approximate flavor SU(3) symmetry and in the limit of small mixing angles. We give general expressions for the partial decay widths of all members of the antidecuplet as functions of the two mixing angles and {gamma}{theta}+ and {sigma}{pi}N. Identifying N10 with the N(1670) observed by the GRAAL experiment, we show that the considered mixing scenario can accommodate all present experimental and phenomenological information on the {theta}+ and N10 decays: {theta}+ could be as narrow as 1 MeV; the N10 {yields} N{eta} decay is sizable, while the N10 {yields} N{pi} decay is suppressed and the N10 {yields} {lambda}K decay is possibly suppressed. Constraining the mixing angles by the N10 decays, we make definite predictions for the {sigma}10 decays. We point out that {sigma}10 with mass near 1770 MeV could be searched for in the available data on KSp invariant mass spectrum, which already revealed the {theta}+ peak. It is important to experimentally verify the decay properties of {sigma}(1770) because its mass and JP = 1/2+ make it an attractive candidate for {sigma}10.
- OSTI ID:
- 20722858
- Journal Information:
- AIP Conference Proceedings, Vol. 775, Issue 1; Conference: HLPR 2004: Joint meeting Heidelberg-Liege-Paris-Rostock on hadronic physics, Spa (Belgium), 16-18 Dec 2004; Other Information: DOI: 10.1063/1.1961037; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BARYON OCTETS
FLAVOR MODEL
GROUND STATES
HADRONIC PARTICLE DECAY
LAMBDA-1600 BARYONS
LAMBDA-1800 BARYONS
MASS SPECTRA
MEV RANGE
N-1440 BARYONS
N-1710 BARYONS
PARTICLE WIDTHS
REST MASS
SIGMA-1660 BARYONS
SU-3 GROUPS
SYMMETRY
WEINBERG ANGLE
XI-1690 BARYONS
XI-1950 BARYONS