DISCRETE AND CONTINUOUS AMBIGUITIES IN THE ISOSPIN ANALYSIS OF THE B→πK DECAYS

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Abstract
A polynomial equation of the fifth degree, which solves completely the theoretical problem of the isospin analysis of the B→πK decays, is derived. It is shown that the problem has in general an even number (two or four) of non-trivially-related solutions. There are six particular cases of null measure, but which might be relevant due to the experimental errors, in which the problem has a continuous set of solutions. It is concluded that the isospin analysis, even if experimentally feasible, has a large probability of being inconclusive.

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