The Origin of Mass Attributed to SU(3) Rotations of the Octet Angles
in STQCH
According to SU(3) group theoretical approach of representation
theory, the eight angular variables introduced in STQCH governs the
motion of high energy particles.
It has been shown, as early as in 1968 ( ,2), that mass originates
as a result of SU(3) rotations of the octet angles.
The theory has been briefly recapitulated in STQCH I. ( ,3).
With an exact SU(3) solution ( ) at our disposal, any particle
(hadrons) assigned to a SU(3) representation have its representation
function (wave function), eigenvalues and other properties calculated
with the help of the observables defined in the form of differential
operators.
In particular, the eight baryons (antibaryons) are explicitly defined
in STQCH I. More examples, including the decuplet baryons
(antibaryons) and those of other higher representations are shown in
STQCH II (unpublished). Our definition of matter (particles) and
antimatter (antiparticles) defined within the context of the octet
angles therefore includes isospin and hypercharge and thus applies to
the strong interaction whereas Dirac's definition does not.
Thus matter (particles), antimatter (antiparticles), and their masses
can be elucidated within this framework.
The author would like to thank J. Terry for his comments and help.
Reference
1. H. Y. Yeh, Bull. Am. Phys. Soc. 11, 13 (1968); Bull. Am. Phys. Soc.
14, 543 (1969), "Baryons Mass Formulas in Automorphism Group of
SU(3)" (1968); Bull. . 15, 50 (1970);
1. , "Baryon Mass Formulae in the Automorphism Group of SU(3)."
1968
2. /edw_yeh/
3. Google Group Name: STQCH [SU(3) Theory of Quantized Charge and
Hypercharge]; Group home page: /group/STQCH
4. H. Y. Yeh, Phys. Lett, 39A, 39 (1976)
the eight baryons (antibaryons) are explicitly defined in STQCH I.
More examples, including the decuplet baryons (antibaryons) and those
of other higher representations are shown in STQCH II (unpublished).
Our definition of matter (particles) and antimatter (antiparticles)
defined within the context of the octet angles therefore includes
isospin and hypercharge and thus applies to the strong interaction
whereas Dirac's definition does not.
Thus matter (particles), antimatter (antiparticles), and their masses
can be elucidated within this framework.
The author would like to thank J. Terry for his comments and help.
Reference
1. H. Y. Yeh, Bull. Am. Phys. Soc. 11, 13 (1968); Bull. Am. Phys. Soc.
14, 543 (1969), "Baryons Mass Formulas in Automorphism Group of
SU(3)" (1968); Bull. . 15, 50 (1970);
1. , "Baryon Mass Formulae in the Automorphism Group of SU(3)."
1968
2. /edw_yeh/
3. Google Group Name: STQCH [SU(3) Theory of Quantized Charge and
Hypercharge]; Group home page: /group/STQCH
4. H. Y. Yeh, Phys. Lett, 39A, 39 (1976)