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• W3022545265 abstract "Abstract We analyze theoretically the $$D^+rightarrow nu e^+ rho bar{K}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mo>→</mml:mo> <mml:mi>ν</mml:mi> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mi>ρ</mml:mi> <mml:mover> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> </mml:math> and $$D^+rightarrow nu e^+ bar{K}^* pi $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mo>→</mml:mo> <mml:mi>ν</mml:mi> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mo>∗</mml:mo> </mml:msup> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> decays to see the feasibility to check the double pole nature of the axial-vector resonance $$K_1(1270)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>K</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1270</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> predicted by the unitary extensions of chiral perturbation theory (UChPT). Indeed, within UChPT the $$K_1(1270)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>K</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1270</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> is dynamically generated from the interaction of a vector and a pseudoscalar meson, and two poles are obtained for the quantum numbers of this resonance. The lower mass pole couples dominantly to $$K^*pi $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> and the higher mass pole to $$rho K$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>ρ</mml:mi> <mml:mi>K</mml:mi> </mml:mrow> </mml:math> , therefore we can expect that different reactions weighing differently these channels in the production mechanisms enhance one or the other pole. We show that the different final VP channels in $$D^+rightarrow nu e^+ V P$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mo>→</mml:mo> <mml:mi>ν</mml:mi> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mi>V</mml:mi> <mml:mi>P</mml:mi> </mml:mrow> </mml:math> weigh differently both poles, and this is reflected in the shape of the final vector-pseudoscalar invariant mass distributions. Therefore, we conclude that these decays are suitable to distinguish experimentally the predicted double pole of the $$K_1(1270)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>K</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1270</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> resonance." @default.
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• W3022545265 date "2020-05-01" @default.
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• W3022545265 title "Signatures of the two $$K_1(1270)$$ poles in $$D^+rightarrow nu e^+ V P$$ decay" @default.
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• W3022545265 doi "https://doi.org/10.1140/epjc/s10052-020-7939-1" @default.
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