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Prog. Theor. Phys. Vol. 39 No. 1 (1968) pp. 203-227

[ Full Text PDF : FREE ACCESS (1216K) ]

Deformable Sphere Model of Elementary Particles and its Relation to Quark

Osamu Hara, Tetsuo Goto, S. Y. Tsai and Haruichi Yabuki

Department of Physics and Atomic Energy, Research Institute, Nihon University, Tokyo

(Received August 5, 1967)

Abstract:

A deformable sphere model of elementary particles is discussed as a generalization of the rigid body model. It is shown that the ground state and the low lying levels of such a sphere can be described in terms of excitons which describe the rotation and the deformation of the system. As far as the spin and the unitary spin quantum numbers are concerned, these excitons can be identified with the quark and the antiquark. In contrast to the conventional quark, however, they obey the Bose-statistics and have mass about one third of the nucleon mass. Further in this model it can be shown that the triality is restricted to zero. Therefore, particles with fractional electric charge or fractional baryonic number do not apprear. Thus, this model eliminates most of the difficulties of the conventional quark model, and it is shown that as far as the low lying levels of the hadrons are concerned, the elementary particles can be understood consistently as the excited state of a deformable sphere. Discussions in this paper are restricted to the uniform deformations and is done in the non-relativistic approximation.


URL : http://ptp.ipap.jp/link?PTP/39/203/
DOI : 10.1143/PTP.39.203

[ Full Text PDF : FREE ACCESS (1216K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 849-851 :
    Bose Quarks and Non-Leptonic Weak Interactions
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  2. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1570-1586 :
    “Ur-citon”: An Attempt for Unified Theory of Hadrons*
    Shin Ishida
  3. Progress of Theoretical Physics Vol. 46 No. 6 (1971) pp. 1905-1923 :
    “Ur-citon”: An Attempt for Unified Theory of Hadrons*
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  4. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 304-316 :
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  5. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 317-331 :
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  6. Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1325-1326 :
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  7. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1973-1983 :
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  8. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 214-226 :
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  9. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 959-963 :
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  10. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 828-839 :
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  11. Progress of Theoretical Physics Vol. 61 No. 5 (1979) pp. 1401-1411 :
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  12. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1710-1722 :
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  13. Progress of Theoretical Physics Supplement No.67 (1979) pp. 115-208 :
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  14. Progress of Theoretical Physics Supplement No.67 (1979) pp. 209-281 :
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