Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay

Abstract We analyze theoretically the $$D^+\rightarrow \nu e^+ \rho \bar{K}$$ D+→νe+ρK¯ and $$D^+\rightarrow \nu e^+ \bar{K}^* \pi $$ D+→νe+K¯∗π decays to see the feasibility to check the double pole nature of the axial-vector resonance $$K_1(1270)$$ K1(1270) predicted by the unitary extensions of c...

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Main Authors: Guan-Ying Wang, Luis Roca, En Wang, Wei-Hong Liang, Eulogio Oset
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-7939-1
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author Guan-Ying Wang
Luis Roca
En Wang
Wei-Hong Liang
Eulogio Oset
author_facet Guan-Ying Wang
Luis Roca
En Wang
Wei-Hong Liang
Eulogio Oset
author_sort Guan-Ying Wang
collection DOAJ
description Abstract We analyze theoretically the $$D^+\rightarrow \nu e^+ \rho \bar{K}$$ D+→νe+ρK¯ and $$D^+\rightarrow \nu e^+ \bar{K}^* \pi $$ D+→νe+K¯∗π decays to see the feasibility to check the double pole nature of the axial-vector resonance $$K_1(1270)$$ K1(1270) predicted by the unitary extensions of chiral perturbation theory (UChPT). Indeed, within UChPT the $$K_1(1270)$$ K1(1270) 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 $$K^*\pi $$ K∗π and the higher mass pole to $$\rho K$$ ρK , 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 $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP 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 $$K_1(1270)$$ K1(1270) resonance.
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spelling doaj.art-f71b913b83d54f17a2cd54a6353021772022-12-21T20:32:35ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-05-018051710.1140/epjc/s10052-020-7939-1Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decayGuan-Ying Wang0Luis Roca1En Wang2Wei-Hong Liang3Eulogio Oset4Department of Physics, Guangxi Normal UniversityDepartamento de Física, Universidad de MurciaDepartment of Physics, Guangxi Normal UniversityDepartment of Physics, Guangxi Normal UniversityDepartment of Physics, Guangxi Normal UniversityAbstract We analyze theoretically the $$D^+\rightarrow \nu e^+ \rho \bar{K}$$ D+→νe+ρK¯ and $$D^+\rightarrow \nu e^+ \bar{K}^* \pi $$ D+→νe+K¯∗π decays to see the feasibility to check the double pole nature of the axial-vector resonance $$K_1(1270)$$ K1(1270) predicted by the unitary extensions of chiral perturbation theory (UChPT). Indeed, within UChPT the $$K_1(1270)$$ K1(1270) 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 $$K^*\pi $$ K∗π and the higher mass pole to $$\rho K$$ ρK , 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 $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP 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 $$K_1(1270)$$ K1(1270) resonance.http://link.springer.com/article/10.1140/epjc/s10052-020-7939-1
spellingShingle Guan-Ying Wang
Luis Roca
En Wang
Wei-Hong Liang
Eulogio Oset
Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
European Physical Journal C: Particles and Fields
title Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
title_full Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
title_fullStr Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
title_full_unstemmed Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
title_short Signatures of the two $$K_1(1270)$$ K1(1270) poles in $$D^+\rightarrow \nu e^+ V P$$ D+→νe+VP decay
title_sort signatures of the two k 1 1270 k1 1270 poles in d rightarrow nu e v p d νe vp decay
url http://link.springer.com/article/10.1140/epjc/s10052-020-7939-1
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AT enwang signaturesofthetwok11270k11270polesindrightarrownuevpdnevpdecay
AT weihongliang signaturesofthetwok11270k11270polesindrightarrownuevpdnevpdecay
AT eulogiooset signaturesofthetwok11270k11270polesindrightarrownuevpdnevpdecay