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Unified Explanation of Quark-Lepton Mass Spectra in q-Deformed Quantum Mechanics |
| ZHANG Jian-Zu |
| School of Science, East China University of Science and Technology, Shanghai 200237 |
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| Cite this article: |
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ZHANG Jian-Zu 2000 Chin. Phys. Lett. 17 91-93 |
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Abstract The quark-lepton mass spectra in q-deformed quantum mechanics are investigated. The theoretical formula of the spectrum includes two new quantum numbers: the q-exciting number n describing generations and the scaling indexes Mi describing families. This formula shows two exponential increases in the mass distribution as generation n increases, the intervals of masses in a given family exponentially increase, and the mass splittings among different members in a generation also exponentially increase. The theoretical values of masses of quarks and leptons reasonably agree with the experimental data except for the electron mass which is one order larger.
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| Keywords:
12.15.Ff
12.90.+b
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Published: 01 February 2000
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| PACS: |
12.15.Ff
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(Quark and lepton masses and mixing)
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12.90.+b
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(Miscellaneous theoretical ideas and models)
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