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First measurement of the masses of the Υ1(1D) and Υ3(1D) states and the energy dependence of the cross sections for e+e-→ΥJ(1D)η and e+e-→ΥJ(1D)π+π-
Abstract
We study the processes e+e-→ΥJ(1D)η and e+e-→ΥJ(1D)π+π- at center-of-mass energies √s=(10.73 -- 11.02) GeV using a 142.5 fb−1 data sample, including 122~fb−1 near the Υ(10860) peak (√s = 10.866 GeV), collected with the Belle detector at the KEKB asymmetric-energy e+e- collider. From the peak sample, the products of Born cross section times branching fraction are obtained for σBorn(e+e-→ΥJ(1D)η) or σBorn(e+e-→ΥJ(1D)π+π-) and cal B(ΥJ(1D)→χb1γ) or cal B(ΥJ(1D)→χb2γ) for each ΥJ(1D) state. The corresponding branching fractions for Υ(10860) decays are also obtained. The significances of the Υ1(1D), Υ2(1D), and Υ3(1D) signals are 4.8σ, >10σ, and 3.0σ, respectively, including systematic uncertainties. The mass for Υ2(1D) is measured to be (10167.0± 1.0± 0.2) MeV/c2, where the first and second uncertainties are statistical and systematic. The mass splittings Δm12=m(Υ2(1D))−m(Υ1(1D)) and Δm23=m(Υ3(1D))−m(Υ2(1D)) are (11.8±1.5±0.4) MeV/c2 and (7.6±2.4±0.6) MeV/c2, respectively.~We determine the energy dependence of the cross sections for e+e-→ΥJ(1D)η and e+e-→ΥJ(1D)π+π- for the Υ1(1D), Υ2(1D), and Υ3(1D) states, combined.
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BibTeX
@misc{belle2026first,
title = {{First measurement of the masses of the $Υ_1(1D)$ and $Υ_3(1D)$ states and the energy dependence of the cross sections for $e^+e^-\toΥ_J(1D)η$ and $e^+e^-\toΥ_J(1D)π^+π^-$}},
author = {Belle and Belle II Collaborations and M. Abumusabh and I. Adachi and K. Adamczyk and A. Aggarwal and H. Ahmed and Y. Ahn and M. Akdag and N. Akopov and S. Alghamdi and M. Alhakami and N. Althubiti and K. Amos and M. Angelsmark and N. Anh Ky and C. Antonioli and K. Arai and H. Atmacan and T. Aushev and V. Aushev and R. Ayad and V. Babu and H. Bae and N. K. Baghel and S. Bahinipati and P. Bambade and Sw. Banerjee and M. Barrett and M. Bartl and J. Baudot and A. Baur and A. Beaubien and F. Becherer and J. Becker and G. F. Benfratello and J. V. Bennett and F. U. Bernlochner and V. Bertacchi and M. Bertemes and E. Bertholet and M. Bessner and S. Bettarini and V. Bhardwaj and B. Bhuyan and F. Bianchi and T. Bilka and A. Biswas and D. Biswas and A. Bobrov and D. Bodrov and A. Bondar and G. Bonvicini and A. Boschetti and A. Bozek and M. Bračko and P. Branchini and R. A. Briere and T. E. Browder and A. Budano},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.04369},
eprint = {2607.04369},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.04369},
}
RIS
TY - UNPB
TI - First measurement of the masses of the Υ_1(1D) and Υ_3(1D) states and the energy dependence of the cross sections for e^+e^-→Υ_J(1D)η and e^+e^-→Υ_J(1D)π^+π^-
AU - Belle
AU - Belle II Collaborations
AU - M. Abumusabh
AU - I. Adachi
AU - K. Adamczyk
AU - A. Aggarwal
AU - H. Ahmed
AU - Y. Ahn
AU - M. Akdag
AU - N. Akopov
AU - S. Alghamdi
AU - M. Alhakami
AU - N. Althubiti
AU - K. Amos
AU - M. Angelsmark
AU - N. Anh Ky
AU - C. Antonioli
AU - K. Arai
AU - H. Atmacan
AU - T. Aushev
AU - V. Aushev
AU - R. Ayad
AU - V. Babu
AU - H. Bae
AU - N. K. Baghel
AU - S. Bahinipati
AU - P. Bambade
AU - Sw. Banerjee
AU - M. Barrett
AU - M. Bartl
AU - J. Baudot
AU - A. Baur
AU - A. Beaubien
AU - F. Becherer
AU - J. Becker
AU - G. F. Benfratello
AU - J. V. Bennett
AU - F. U. Bernlochner
AU - V. Bertacchi
AU - M. Bertemes
AU - E. Bertholet
AU - M. Bessner
AU - S. Bettarini
AU - V. Bhardwaj
AU - B. Bhuyan
AU - F. Bianchi
AU - T. Bilka
AU - A. Biswas
AU - D. Biswas
AU - A. Bobrov
AU - D. Bodrov
AU - A. Bondar
AU - G. Bonvicini
AU - A. Boschetti
AU - A. Bozek
AU - M. Bračko
AU - P. Branchini
AU - R. A. Briere
AU - T. E. Browder
AU - A. Budano
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2607.04369
UR - https://arxiv.org/abs/2607.04369
AB - We study the processes e^+e^-→Υ_J(1D)η and e^+e^-→Υ_J(1D)π^+π^- at center-of-mass energies √s=(10.73 -- 11.02) GeV using a 142.5 fb^−1 data sample, including 122~fb^−1 near the Υ(10860) peak (√s = 10.866 GeV), collected with the Belle detector at the KEKB asymmetric-energy e^+e^- collider. From the peak sample, the products of Born cross section times branching fraction are obtained for σ_Born(e^+e^-→Υ_J(1D)η) or σ_Born(e^+e^-→Υ_J(1D)π^+π^-) and cal B(Υ_J(1D)→χ_b1γ) or cal B(Υ_J(1D)→χ_b2γ) for each Υ_J(1D) state. The corresponding branching fractions for Υ(10860) decays are also obtained. The significances of the Υ_1(1D), Υ_2(1D), and Υ_3(1D) signals are 4.8σ, >10σ, and 3.0σ, respectively, including systematic uncertainties. The mass for Υ_2(1D) is measured to be (10167.0± 1.0± 0.2) MeV/c^2, where the first and second uncertainties are statistical and systematic. The mass splittings Δm_12=m(Υ_2(1D))−m(Υ_1(1D)) and Δm_23=m(Υ_3(1D))−m(Υ_2(1D)) are (11.8±1.5±0.4) MeV/c^2 and (7.6±2.4±0.6) MeV/c^2, respectively.~We determine the energy dependence of the cross sections for e^+e^-→Υ_J(1D)η and e^+e^-→Υ_J(1D)π^+π^- for the Υ_1(1D), Υ_2(1D), and Υ_3(1D) states, combined.
ER -