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SOME DISCUSSIONS OF THE STRUCTURE WAVE FUNCTIONS OF MESONS IN THE APPROXIMATION OF INSTANTANEOUS INTERACTION (Ⅱ)——THE HARMONIC OSCILLATOR MODEL OF PSEUDO-SCALAR AND VECTOR MESONS

ELEMENTARY PARTICLE THEORY GROUP

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SOME DISCUSSIONS OF THE STRUCTURE WAVE FUNCTIONS OF MESONS IN THE APPROXIMATION OF INSTANTANEOUS INTERACTION (Ⅱ)——THE HARMONIC OSCILLATOR MODEL OF PSEUDO-SCALAR AND VECTOR MESONS

ELEMENTARY PARTICLE THEORY GROUP
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  • On the basis of our previous report this paper discusses the structure wave functions of mesons formed from a straton and anti-straton pair. We assume that the straton is very heavy and that the interaction is the potential of a harmonic oscillator. Provided the spinor type coupling satisfies certain conditions then the following general results are obtained: (1) The equal spacing relation of the squared mass levels are obtained antomatically, and at the same time the usual difficulty of too high energy values for the ground states is avoided; (2) If the intrinsic weak current of the straton is of the V-A type, and also if its intrinsic electro-magnetic current contains no anomalous magnetic moment, then the inconsistency in the Cabibbo angle for the two body lepton decay of the pseudo-scalar meson and the difficulty in explaining the branching ratios of e+e- decay of various vector mesons may be avoided; (3) A very small SU(3) violation term is sufficient to explain the observed SU(3) mass breaking of mesons. This gives a reasonable explanation why the mass of K is 3.5 times that of the pion while SU(3) symmetry is still manifested in many situations; (4) The expansion of the equation with respect to p2/M2 gives fairly good approximation; (5) The radius of distribution of the straton and anti-straton is compatible in order of magnitude with the observed electro-magnetic radius of the meson; (6) The spinor and momentum structures of the structure wave functions are completely determined by the theory.
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  • Received Date:  10 October 1974
  • Published Online:  03 August 2005

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