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In view of the proliferation in the number of new charmonium states, it is really important to have an experimental way to prove that an observed bump is, indeed, a real resonance. To do that, in this paper we present an alternative method to demonstrate the resonant behavior of a state. With this method, the phase variation of a generic complex amplitude can be directly revealed through interference in the Dalitz-plot region where it crosses a well established resonant state, used as a probe. We have tested the method for the Z−(4430) state by generating Monte Carlo samples for the B0→ψ(2S)π−K+ decay channel. We have shown that the proposed method gives a clear oscillation behavior, related to the phase variation associated with a real resonant state, in the case where the Z−(4430) is considered as a regular resonance with a strong phase variation

physics letters b

Phase motion in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mn>4430</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>amplitude in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:…

Phase motion in theZ−(4430)amplitude inB0