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Contributions of the subprocess <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>K</mml:mi><mml:mn>0</mml:mn><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>1430</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">→</mml:mo><mml:mi>K</mml:mi><mml:msup><mml:mi>η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:math> in the charmless three-body <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="…
We study the contributions for $K{\ensuremath{\eta}}^{\ensuremath{'}}$ pair originating from the scalar intermediate state ${K}_{0}^{*}(1430)$ in the three-body decays $B\ensuremath{\rightarrow}K{\ensuremath{\eta}}^{\ensuremath{'}}h$ ($h=\ensuremath{\pi}$, $K$) within the perturbative QCD approach. The contribution of ${K}_{0}^{*}(1430)\ensuremath{\rightarrow}K{\ensuremath{\eta}}^{\ensuremath{'}}$ is described by the Flatt\'e formula with coupled channels $K\ensuremath{\pi}$, $K\ensuremath{\eta}$, and $K{\ensuremath{\eta}}^{\ensuremath{'}}$. The strong coupling constants ${g}_{{K}_{0}^{*}K{\ensuremath{\eta}}^{(\ensuremath{'})}}$ are extracted …