# On the tenfold way

@article{Glashow1962OnTT, title={On the tenfold way}, author={Sheldon Lee Glashow and Jun John Sakurai}, journal={Il Nuovo Cimento (1955-1965)}, year={1962}, volume={26}, pages={622-624} }

(ricevuto il 17 Agosto 1962) In a recent paper (1) published in this journal we predicted the existence of a Y I (strangess =:-2) T= 89 baryon with mass 1520 MeV and a Y=-2 (strangeness-3) T-0 ba-ryon with mass 1640 MeV, both particles with spin J = a+. This result followed from three assumptions: i) The 3-3 pion-nuc]eon resonance and the Y*(1385 MeV) belong to a ten-dimensional representation of S U(3). See especially the Appendix. In this reference, we stressed the representation 27 rather…

## 43 Citations

Decay parameters of Ω−

- Physics
- 1964

As is well known, the tenfohl representat ion of the S U 3 group fGr baryon isobars predicts the existence of an isosinglet, called gl-, wi th strangeness 3 and mass 1685 (i4). I ts spin and par i ty…

SU(3) Symmetry Scheme, A Review

- Physics
- 1964

This review is intended for non-experts (experimentalists, students, etc.) as an introduction to the applications of group theory to strong interactions. It contains no new results nor is it a…

Some Properties of Triangular Representations of SU(3)

- Physics
- 1964

The occurrence of an equal‐spacing mass rule in the unitary decuplet can be explained either by observing that the isotopic spin and hypercharge of each particle are related by T = 1 + ½Y, or by…

The Λ (1520) hyperon and the parity of the

- Physics
- 1964

Whereas most excited hyperon states were seen in Dalitz plots of three-body final states, the A (1520) was observed as a peak in the total K-p cross-section measured as a function of energy.…

Symmetries and Resonances

- Physics
- 1966

The stimulus for my interest in the subject of symmetries and resonances was the series of lectures by Professor Salam at Trieste entitled “On Lie Groups and Lie Algebra.”1 The theory of symmetries…

High energy scattering in the unitary symmetry model

- Physics
- 1964

Abstract Assuming that the conjecture of Okun and Pomeranchuk is valid, we derive the relations between elastic scattering amplitudes at high energy in the unitary symmetry models in which…

Some other mesons

- Physics
- 1964

Clear evidence for the existence of the f meson was first obtained by Selove et al. (1962) although preliminary evidence was seen earlier. The f appeared as a peak in the π+ π- mass spectrum in the…

The ∑ (1660) hyperon

- Physics
- 1964

Evidence for the existence of an excited hyperon of mass 1680 MeV was first obtained by Bastein et al. (1962b) and by Alexander et al. (1962 a). Bastien et al. observed it as a peak in the ETC…

2021 Beyond the 10-fold way : 13 associative Z 2 × Z 2-graded superdivision algebras

- 2021

The “10-fold way” refers to the combined classification of the 3 associative division algebras (of real, complex and quaternionic numbers) and of the 7, Z2-graded, superdivision algebras (in a…

Study of the I = 2 Σπ system in π + N interactions

- Physics
- 1963

A study of the effective-mass distributions for systems recoiling against mesons (k/sup +/) produced both in pi /sup -/ + p and pi /sup -/ + n interactions is reported. Although all the known…

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The 27-fold way and other ways: symmetries of mesons-baryon resonances

- Physics
- 1962

SummaryMeson-baryon resonances are discussed within the framework of unitary symmetry based upon the Gell-Mann-Ne’eman baryon octet (the eightfold way). It is argued that the low-lyingJ=3/2+ isobars…

Note on Unitary Symmetry in Strong Interactions

- Physics
- 1962

Assuming invariance of a theory under three-dimensional unitary group, various consequences are investigated. Both the Sakata and Gell-Mann schemes can be treated in this fashion in a simple way. A…

This (~ equal-spacing rnle~, applies to all multiplets of SU(3) belonging to representations with only upper (or lower) indices, like the 10

- See S. L. GLASHOW: International Summer School on Group Theoretic Methods in Elementary Particle Physics at Istanbul
- 1962