The Relativistic Oscillator and Mass Formulas
The mass spectrum of hadrons is as important a problem in relativistic physics as the energy spectrum of molecules and nuclei was in non-relativistic quantum mechanics. In molecular physics the spectrum is explained in terms of single particle excitations and collective rotations and vibrations . In nuclear physics the “parts” of the collective model are also rotations and vibrations , with the main difference between molecular and nuclear collective motions being that in molecular physics the rotational and vibrational mode are well separated from each other and from the particle excitations and in nuclear physics these “parts” are not well separated from each other and rotation-vibration particle interactions play an important role. Hadrons are relativistic extended objects and if the analogy between molecular and nuclear physics persists also for the relativistic domain we would expect the collective mode of hadrons to be relativistic rotators and relativistic oscillators.
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