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Prog. Theor. Phys. Vol. 40 No. 1 (1968) pp. 143-159

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Strange Spin Formalism for Hadrons

Kazuhisa Shima, Tsuneo Suzuki, Akizo Kobayashi and Hirofumi Senju

Department of Physics, Nagoya University, Nagoya

(Received December 28, 1967)

Abstract:

A model in which a new kind of spin, namely "strange spin X (X3S)”, plays an important role besides isotopic spin I is set up on the basis of four constitunet baryons with integral electric charges and integral baryon numbers. These basic baryons form two doublets such as (I=½, X=0) and (I=0, X=½). The mass formula characteristic of the model, based on the broken U(4)-symmetry, accounts for the mass spectra of a super-multiplet involving new baryons such as Z0(1863), Z1(1910), and aleph-particle (m=2040±50) in addition to the usual octuplet ones. Also the formula brings the Gell-Mann-Okubo mass relation to the usual octuplet baryons and the Bjørken-Glashow one to the usual nonuplet mesons.
The selection rules based on the U(4)-symmetry account roughly for the low rate of the X0-production in the π-N reaction, and are compatible with the branching ratios of the strong decay made of φ and with the suppression of the φ-production in the N-N and π-N reactions in comparison with the ω-production.
Application of the present formalism to the electromagnetic interaction is also referred to.


URL : http://ptp.ipap.jp/link?PTP/40/143/
DOI : 10.1143/PTP.40.143

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