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XYushchenko, OZangoli, MZavertyaev, MZhang, FZhang, LZhang, WCZhang, YZhelezov, AZhokhov, AZhong, LZvyagin, A2024-07-182024-07-180031-90071079-7114http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/11162Resonant structures in B-0 -> psi'pi K--(+) decays are analyzed by performing a four-dimensional fit of the decay amplitude, using pp collision data corresponding to 3 fb(-1) collected with the LHCb detector. The data cannot be described with K+pi(-) resonances alone, which is confirmed with a model-independent approach. A highly significant Z(4430)(-) -> psi'pi(-) component is required, thus confirming the existence of this state. The observed evolution of the Z(4430)(-) amplitude with the psi'pi(-) mass establishes the resonant nature of this particle. The mass and width measurements are substantially improved. The spin parity is determined unambiguously to be 1(+).EnglishArticle