GELL MANN NISHIJIMA SCHEME PDF

It was originally given by Kazuhiko Nishijima and Tadao Nakano in , [1] and led to the proposal of strangeness as a concept, which Nishijima originally called "eta-charge" after the eta meson. This equation was originally based on empirical experiments. It is now understood as a result of the quark model. In particular, the electric charge Q of a quark or hadron particle is related to its isospin I 3 and its hypercharge Y via the relation:. Since the discovery of charm, top, and bottom quark flavors, this formula has been generalized.

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We'd like to understand how you use our websites in order to improve them. Register your interest. A vector space, generated by the set of Hilbert spaces of one-particle states of the different hadrons, is proposed as representation space of groups which allow for classifications of hadrons in multiplets.

With the aid of methods of Lie algebra extension theory, it is proved that the Gell-Mann-Nishijima formula is a particular case of an expression characterizing a class of classification schemes.

This expression appears as the eigenvalue version of a formula in terms of operators on the Hilbert space of one-particle hadronic states.

Si propone uno spazio vettoriale, generato dal gruppo di spazi hilbertiani degli stati di una particella dei differenti adroni, come spazio delle rappresentazioni dei gruppi che permettono le classificazioni degli adroni in multipli.

This is a preview of subscription content, log in to check access. Gell-Mann : Phys. Nakano and K. Nishijima : Progr. Kyoto , 10 , ; K. Kyoto , 12 ; 13 , Ruelle : Helv. Acta , 35 , Speiser and J. Tarski : Journ.

Gell-Mann : Calech Rept. CTSL unpublished ; reprinted in M. Gell-Mann and Y. Meshkov, C. Levinson and H. Lipkin : Phys. Galindo : Journ. Cattaneo : Commun. Math, Phys. Cattaneo : to appear in Journ. April or May Kihlberg : Nuovo Cimento , 36 , Fleischman and J.

Nagel : Journ. I, ASI Paris, Chretien and S. Deser New York, Download references. Reprints and Permissions. Cattaneo, U. Sliced extensions and Gell-Mann-Nishijima formula. Nuov Cim A 7, — Download citation. Received : 18 August Published : 24 October Issue Date : February Search SpringerLink Search. Summary A vector space, generated by the set of Hilbert spaces of one-particle states of the different hadrons, is proposed as representation space of groups which allow for classifications of hadrons in multiplets.

Riassunto Si propone uno spazio vettoriale, generato dal gruppo di spazi hilbertiani degli stati di una particella dei differenti adroni, come spazio delle rappresentazioni dei gruppi che permettono le classificazioni degli adroni in multipli. References 1 M. Author information Author notes U. Cattaneo Authors U. Cattaneo View author publications. You can also search for this author in PubMed Google Scholar.

Rights and permissions Reprints and Permissions. About this article Cite this article Cattaneo, U.

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Sliced extensions and Gell-Mann-Nishijima formula

We'd like to understand how you use our websites in order to improve them. Register your interest. A vector space, generated by the set of Hilbert spaces of one-particle states of the different hadrons, is proposed as representation space of groups which allow for classifications of hadrons in multiplets. With the aid of methods of Lie algebra extension theory, it is proved that the Gell-Mann-Nishijima formula is a particular case of an expression characterizing a class of classification schemes. This expression appears as the eigenvalue version of a formula in terms of operators on the Hilbert space of one-particle hadronic states.

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Gell-Mann–Nishijima formula

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