Mesons Constructed from Baryon Nonlocal Fields

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For baryons there is one model in which the 4-local field is used.1l However, it is impossible to construct the meson octet2> in the 4-local field model. We try to solve the difficulty in the meson case from the viewpoint of a multi-local field.*> That is, we take two 4-local spinor fields ¢(X,..', x /r) and ¢ (Z/, z /r) which describe baryons and construct from them a nonlocal field cjJ (X"', x"'r' z,/) which describes mesons (r=1, 2, 3).**> In this note we propose a model in which the construction of mesons from baryon nonlocal fields (hereafter we call the baryon nonlocal field "baryon ") has an effect on meson masses, without detailed reference to the internal mechanism. We can define the oscillator variables1l a"'r' at<rt, bt<rand bt<rt by xt<r and zt<r. Further the generators B; of the SU(3) group are defined by

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