Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction

Abstract We study the $$B^+ \rightarrow D^{*-}D^+K^+$$ B + → D ∗ - D + K + reaction, showing that a peak in the $$D^+K^+$$ D + K + mass distribution around $$2834 \text { MeV}$$ 2834 MeV reported by LHCb could be associated with a theoretical exotic state with that mass, a width of $$19 \text { MeV}...

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Main Authors: Wen-Tao Lyu, Man-Yu Duan, Chu-Wen Xiao, En Wang, Eulogio Oset
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13671-z
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author Wen-Tao Lyu
Man-Yu Duan
Chu-Wen Xiao
En Wang
Eulogio Oset
author_facet Wen-Tao Lyu
Man-Yu Duan
Chu-Wen Xiao
En Wang
Eulogio Oset
author_sort Wen-Tao Lyu
collection DOAJ
description Abstract We study the $$B^+ \rightarrow D^{*-}D^+K^+$$ B + → D ∗ - D + K + reaction, showing that a peak in the $$D^+K^+$$ D + K + mass distribution around $$2834 \text { MeV}$$ 2834 MeV reported by LHCb could be associated with a theoretical exotic state with that mass, a width of $$19 \text { MeV}$$ 19 MeV and $$J^P=2^+$$ J P = 2 + , stemming from the interaction of the $$D^{*+}K^{*+}$$ D ∗ + K ∗ + and $$D^{*+}_s \rho ^+$$ D s ∗ + ρ + channels, which is a partner of the $$0^+$$ 0 + $$T_{c{\bar{s}}}(2900)$$ T c s ¯ ( 2900 ) . We show that the data is compatible with this assumption, but also see that the mass distribution itself cannot discriminate between the spins $$J=0$$ J = 0 , 1, 2 of the state. Then we evaluate the momenta of the angular mass distribution and show that they are very different for each of the spin assumptions, and that the momenta coming from interference terms have larger strength at the resonant energy than the peaks seen in the angular integrated mass distribution. We make a call for the experimental determination of these magnitudes, which has already been used by the LHCb in related decay reactions.
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spelling doaj-art-01edb50fc0cf46afb851d560bbd2bb542025-02-02T12:39:15ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-0184121610.1140/epjc/s10052-024-13671-zPossible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reactionWen-Tao Lyu0Man-Yu Duan1Chu-Wen Xiao2En Wang3Eulogio Oset4Department of Physics, Guangxi Normal UniversitySchool of Physics, Zhengzhou UniversityDepartment of Physics, Guangxi Normal UniversitySchool of Physics, Zhengzhou UniversityDepartment of Physics, Guangxi Normal UniversityAbstract We study the $$B^+ \rightarrow D^{*-}D^+K^+$$ B + → D ∗ - D + K + reaction, showing that a peak in the $$D^+K^+$$ D + K + mass distribution around $$2834 \text { MeV}$$ 2834 MeV reported by LHCb could be associated with a theoretical exotic state with that mass, a width of $$19 \text { MeV}$$ 19 MeV and $$J^P=2^+$$ J P = 2 + , stemming from the interaction of the $$D^{*+}K^{*+}$$ D ∗ + K ∗ + and $$D^{*+}_s \rho ^+$$ D s ∗ + ρ + channels, which is a partner of the $$0^+$$ 0 + $$T_{c{\bar{s}}}(2900)$$ T c s ¯ ( 2900 ) . We show that the data is compatible with this assumption, but also see that the mass distribution itself cannot discriminate between the spins $$J=0$$ J = 0 , 1, 2 of the state. Then we evaluate the momenta of the angular mass distribution and show that they are very different for each of the spin assumptions, and that the momenta coming from interference terms have larger strength at the resonant energy than the peaks seen in the angular integrated mass distribution. We make a call for the experimental determination of these magnitudes, which has already been used by the LHCb in related decay reactions.https://doi.org/10.1140/epjc/s10052-024-13671-z
spellingShingle Wen-Tao Lyu
Man-Yu Duan
Chu-Wen Xiao
En Wang
Eulogio Oset
Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
European Physical Journal C: Particles and Fields
title Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
title_full Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
title_fullStr Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
title_full_unstemmed Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
title_short Possible signal of an exotic $$I=1$$ I = 1 , $$J=2$$ J = 2 state in the $$B \rightarrow D^{*-}D^+K^+$$ B → D ∗ - D + K + reaction
title_sort possible signal of an exotic i 1 i 1 j 2 j 2 state in the b rightarrow d d k b d ∗ d k reaction
url https://doi.org/10.1140/epjc/s10052-024-13671-z
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