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1966•Progress of Theoretical PhysicsOpen access

A Comment on the Mass Formulas Derived from Group Theory

Hiroshi Katsumori

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Abstract

The mass operator is assumed to be written in the form of the most general polynomial expression in the hypercharge, the isospin and its third component or equivalently the electric charge. It is shown that the Coleman-Glashow formula for the electromagnetic mass difference can generally be obtained by omitting the contributions from the interference effect of the strong mass splitting interaction and the electromagnetic interaction, independently of a special type of te group, such as SU3. Furthermore strong mass splitting problems are discussed in connection with the Gell-Mann and Okubo formula and also with the Vigier and Flato formula.

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The mass operator is assumed to be written in the form of the most general polynomial expression in the hypercharge, the isospin and its third component or equivalently the electric charge. It is shown that the Coleman-Glashow formula for the electromagnetic mass difference can generally be obtained by omitting the contributions from the interference effect of the strong mass splitting interaction and the electromagnetic interaction, independently of a special type of te group, such as SU3. Furthermore strong mass splitting problems are discussed in connection with the Gell-Mann and Okubo formula and also with the Vigier and Flato formula.

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Available abstract

The mass operator is assumed to be written in the form of the most general polynomial expression in the hypercharge, the isospin and its third component or equivalently the electric charge. It is shown that the Coleman-Glashow formula for the electromagnetic mass difference can generally be obtained by omitting the contributions from the interference effect of the strong mass splitting interaction and the electromagnetic interaction, independently of a special type of te group, such as SU3. Furthermore strong mass splitting problems are discussed in connection with the Gell-Mann and Okubo formula and also with the Vigier and Flato formula.

Key concepts: Hypercharge, Physics, Electromagnetic mass, Mass formula, Isospin, Connection (principal bundle), Group (periodic table), Group theory

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