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Final-state interactions in the $B^{\mp}\to K^+K^- π^{\mp} $ decays: traces of the X(3700) state and CP asymmetry

Abstract

In this work, we investigate final-state interaction effects in B∓→ K+K- π∓ decays above 3 GeV with a twofold objective: (i) to study CP asymmetry, and (ii) to search for possible signatures of the X(3700) state (also denoted as X(3720)). We consider both tree-level and resonant contributions, with the latter arising from a triangle mechanism B∓ → D̅0 D∗ ∓ (→ π∓ D0) → K+K- π∓, in which the D D̅ → K K̅ rescattering process carries the signature of the exotic X(3700) state. We analyze the dependence of our results on the relative phase between the tree-level and resonant contributions, as well as on other relevant parameters. We estimate the differential mass distribution in the region where the X(3700) may leave a trace, and the CP asymmetry driven by final-state interactions. Our findings are compared with available data for the differential mass distributions and the CP asymmetry. Taken together, these results may contribute to a better understanding of the properties of exotic states and the role of CP asymmetry in B-meson phenomenology.

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BibTeX
@misc{abreu2026finalstate,
  title = {{Final-state interactions in the $B^\mp\to K^+K^- π^\mp $ decays: traces of the $X(3700)$ state and CP asymmetry}},
  author = {Luciano M. Abreu and Eduardo Almeida and Patrícia C. Magalhães and Vinícius S. Silva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03294},
  eprint = {2610.03294},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03294},
}
RIS
TY  - UNPB
TI  - Final-state interactions in the $B^{\mp}\to K^+K^- π^{\mp} $ decays: traces of the X(3700) state and CP asymmetry
AU  - Luciano M. Abreu
AU  - Eduardo Almeida
AU  - Patrícia C. Magalhães
AU  - Vinícius S. Silva
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03294
UR  - https://arxiv.org/abs/2610.03294
AB  - In this work, we investigate final-state interaction effects in B^∓→ K^+K^- π^∓ decays above 3 GeV with a twofold objective: (i) to study CP asymmetry, and (ii) to search for possible signatures of the X(3700) state (also denoted as X(3720)). We consider both tree-level and resonant contributions, with the latter arising from a triangle mechanism B^∓ → D̅^0 D^∗ ∓ (→ π^∓ D^0) → K^+K^- π^∓, in which the D D̅ → K K̅ rescattering process carries the signature of the exotic X(3700) state. We analyze the dependence of our results on the relative phase between the tree-level and resonant contributions, as well as on other relevant parameters. We estimate the differential mass distribution in the region where the X(3700) may leave a trace, and the CP asymmetry driven by final-state interactions. Our findings are compared with available data for the differential mass distributions and the CP asymmetry. Taken together, these results may contribute to a better understanding of the properties of exotic states and the role of CP asymmetry in B-meson phenomenology.
ER  -