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- W2057200212 abstract "The application of Tomonaga's intermediate-coupling approximation to an extended Lee model in which the single baryon may exist in $k$ possible states is outlined. The intermediate-coupling solution of such a model is shown to be characterized by a class of polynomial functions which are defined by a three-term recurrence relation. The bound states correspond to the zeros of these polynomials, but there is no simple relation between the bound states of the model with $k$ possible baryon states and the next higher Lee-type model with $k+1$ possible baryon states. Furthermore, an algebraic solution of the problem is not possible for $kensuremath{ge}5$, because the order of the secular equation is equal to the value of $k$. Some specific results are given for the $n=3$ sector of the extended Lee-type model with four possible baryon states. It is conjectured that all extended Lee models of this type will exhibit a strong-coupling isobar spectrum of the type found by North for the cases of the ordinary Lee model and the Bronzan-Lee model." @default.
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- W2057200212 title "Extended Lee Model with an Arbitrary Number of Possible Baryon States" @default.
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- W2057200212 doi "https://doi.org/10.1103/physrev.185.1894" @default.
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