Measurement of the Absolute Branching Fraction of Xi(1530)⁻ to (Xi pi)⁻ and Updated Measurement of the Branching Fraction of psi(3686) to anti-Xi⁺ Xi(1530)⁻ + c.c
A. Amoroso, A. A. Zafar, A. Bortone, A. Brueggemann, A. Calcaterra, A. Dbeyssi, A. Denig, A. Gilman, A. Guskov, A. Khoukaz, A. Kupsc, A. Limphirat, A. Marshall, A. N. Zhu, A. Pathak, A. Q. Guo, A. Rivetti, A. Sarantsev, A. Zhemchugov, B. A. Shi, B. C. Ke, BESIII Collaboration: M. Ablikim, B. H. Xiang, Bin Wang, B. J. Liu, B. Kopf, B. L. Zhang, B. Moses, B. M. Zheng, Bo Wang, B. Wang, B. X. Liu, B. X. Yu, B. X. Zhang, B. Zheng, B. Zhong, C. C. Lin, C. D. Fu, C. F. Qiao, C. F. Redmer, C. Geng, Chao Chen, Chao Wang, C. H. Chen, C. Herold, C. H. Heinz, C. H. Li, Ch. Rosner, Chunkai Li, Ch. Y. Shi, C. J. Tang, C. J. Xu, C. K. Li, C. Li, C. Liang, C. Liu, C. L. Luo, C. Normand, Cong Li, Cong Wang, C. P. Shen, C. Q. Deng, C. Q. Feng, C. S. Akondi, C. Wang, C. Xie, C. X. Lin, C. X. Liu, C. X. Yu, C. X. Yue, C. Y. Guan, C. Z. He, C. Zhong, C. Z. Yuan, D. Bettoni, D. B. Xiong, D. Cabiati, D. Dedovich, D. H. Wei, D. H. Zhang, D. Jiang, D. J. Wei, D. M. Li, D. Wei, D. Xiao, D. X. Lin, D. Y. Wang, E. Bianco, E. Di Fiore, E. M. Gersabeck, E. van der Smagt, F. A. Harris, F. Bianchi, F. C. Ma, F. Cossio, F. De Mori, F. E. Maas, Feng Liu, F. Feldbauer, F. Hanisch, F. H. Heinsius, F. H. Liu, F. Li, F. Liu, F. M. Melendi, F. Nerling, F. Rosini, F. R. Zeng, F. Stieler, F. Weidner, F. Yan, F. Z. Qi, G. B. Sun, G. Chen, G. Cibinetto, Gengyuan Zhang, G. F. Cao, G. Felici, G. F. Fan, G. F. Xu, G. Li, G. L. Peng, G. Mezzadri, G. M. Liu, G. R. Che, G. R. Liao, G. Rong, G. S. Huang, G. Wilkinson, G. X. Sun, G. Y. Hou, G. Y. Tang, G. Yu, G. Y. Xiao, G. Y. Zhang, G. Zhao, Han Zhang, H. B. Jiang, H. B. Li, H. B. Liu, H. Cai, H. C. Zhang, Heng Ma, H. F. Shen, H. Gao, H. Guo, H. H. Zhang, H. J. Li, H. J. Lu, H. J. Wang, H. J. Yang, H. K. Sun, H. L. Dai, H. Liang, H. Liu, H. L. Li, H. L. Ma, H. L. Song, H. L. Xia, H. L. Yang, H. M. Hu, H. Miao, H. M. Liu, H. Neuwirth, H. N. Li, H. P. Li, H. P. Peng, H. Q. Zhang, H.-R. Bao, H. R. Qi, H. R. Wang, H. R. Wei, H. R. Wen, H. R. Zhang, H. S. Chen, H. Shi, H. Sun, H. Tabaharizato, Huihui Liu, Hui Li, H. Xiao, H. X. Mao, H. X. Yang, H. Y. Chen, H. Yuan, H. Y. Xu, H. Y. Zhang, H. Zhang, H. Zhou, I. Boyko, I. Denisenko, I. Garzia, I. Mackay, I. Uman, J. B. Gong, J. B. Jiao, J. B. Liu, J. Cheng, J. Cottee-Meldrum, J. D. Gong, J. Dong, J. Fang, J. F. Chang, J. F. Hu, J. F. Qiu, J. F. Shangguan, J. F. Sun, J. F. Wu, J. G. Lu, J. Gollub, J. Gutierrez, J. H. Feng, J. H. Qiao, J. H. Yang, J. H. Zou, Jianyu Zhang, Jie Yuan, Jin Fang, Jin Zhang, Jiyuan Zhang, J. Jackson, J. J. Fan, J. J. Liu, J. J. Qin, J. J. Song, J. J. Tang, J. J. Wang, J. J. Zhang, J. K. Jiao, J. L. Fu, J. Libby, J. L. Ma, J. L. Ping, J. L. Qin, J. L. Shi, J. L. Zhang, J. Muskalla, J. N. Guo, J. N. Li, J. P. Dai, J. P. Wang, J.-P. Zhao, J. P. Zheng, J. Q. Zhang, J. Q. Zhou, J. Rademacker, J. R. Luo, J. S. Li, J. S. Luo, J. S. Yu, J. S. Zhang, J. Tang, Junhao Yin, J. Wang, J. W. Li, J. W. Zhang, J. X. Teng, J. X. Zhang, J. Y. Han, J. Y. Shi, J. Y. Tian, J. Yuan, J. Y. Zhang, J. Y. Zhao, J. Zhang, J. Zhu, J. Zu, J. Z. Zhang, J. Z. Zhao, K. Begzsuren, K. D. Hao, Ke Liu, K. Goetzen, K. J. Xie, K. J. Zhu, K. K. He, K. L. He, K. Li, K. Liu, K. L. Li, K. Peters, K. Petridis, K. Schoenning, K. Sun, K. S. Zhu, Kun Liu, K. Wang, K. X. Huang, K. Y. Liu, K. Zhu, L. B. Guo, L. B. Liao, L. C. Liu, L. C. L. Jin, Lei Li, Lei Zhang, Lei Zhao, L. Fava, L. Feng, L. F. Tang, L. Ge, L. Gong, L. G. Shao, L. H. Wu, Lianjie Wu, Lin Zhu, L. J. Li, L. J. Wu, L. K. Jia, L. Kr\"oger, L. Kr\"ummel, L. Liu, L. L. Ma, L. L. Wang, L. M. Zhang, L. N. Cheng, L. P\"opping, L. Q. Huang, L. Q. Qin, L. R. Ma, L. Sun, Lu Liu, L. W. Wang, L. W. Yu, L. Xia, L. X. Zhu, L. Yan, L. Y. Dong, L. Y. Qin, L. Y. Tao, L. Yuan, L. Zhao, M. Barbagiovanni, M. B. Bertani, M. Berlowski, M. C. Du, M. Destefanis, M. D. Gu, M. Fritsch, M. Greco, M. G. Zhao, M. H. Cai, M. H. Gu, M. H. Li, M. H. Liao, M. H. Liu, M. H. Shi, M. H. Song, M. H. Ye, Mi Wang, M. J. Guo, M. Kuessner, M. K. Yuan, M. L. Chen, M. Lellmann, M. Maggiora, M. N. Achasov, M. Pelizaeus, M. Qi, M. Q. Jing, M. Q. Ruan, M. R. Li, M. Rolo, M. Schernau, M. Scodeggio, M. Shao, M. Stolte, M. Tat, M. T. Li, M. Wang, M. Wolke, M. X. Luo, M. Y. Dong, M. Ye, M. Zhuge, N. Berger, N. Cao, N. H\"usken, N. in der Wiesche, N. Kumar, N. Salone, N. Yu. Muchnoi, N. Y. Wang, N. Zhang, O. Bakina, O. B. Kolcu, P. Adlarson, P. B. Qin, P. C. Hong, P. Egorov, P. Huang, P. L. Li, P. L. Liu, P. R. Li, P. T. Ge, P. Zhang, Q. A. Malik, Q. An, Q. Ji, Q. J. Xu, Q. Lan, Q. Liu, Q. L. Niu, Q. M. Li, Q. M. Ma, Q. N. Xu, Q. Ouyang, Q. P. Hu, Q. P. Ji, Q. X. Feng, Q. X. Li, Q. Y. Zhang, Q. Zhang, Q. Z. Zhang, R. A. Briere, R. Aliberti, R. E. de Boer, R. E. Mitchell, R. G. Ping, R. J. Yang, R. Li, R. P. Guo, R. P. Zhao, R. Q. Ma, R. Sun, R. Y. Ma, R. Y. Zhang, S. A. Cetin, S. B. Liu, S. Garbolino, S. Gramigna, S. G. Wu, Shanshan Li, Shaoxu Du, Shulei Zhang, Shun Wang, S. H. Yuan, S. H. Zeng, S. H. Zhang, S. H. Zhu, S. J. Chen, S. Jin, S. J. Jiang, S. J. Zhao, S. Kabana, S. K. Choi, S. L. Hu, S. Li, S. L. Olsen, S. Maity, S. Malde, S. Marcello, S. M. Chen, S. M. Wu, S. Nisar, S. N. Zhang, S. Pacetti, S. Plura, S. P. Wen, S. Qian, S. S. Fang, S. Sosio, S. Spataro, S. S. Rong, S. S Su, S. S. Sun, S. Stansilaus, S. Wang, S. X. Du, S. X. Li, S. Y. Li, S. Y. Shi, S. Zhou, T. Chen, T. D. Xu, T. Hu, T. Hussain, T. J. Min, T. Johansson, T. J. Wang, T. J. Zhu, T. Lenz, T. Li, T. Lin, T. Liu, T. Luo, T. Ma, T. Sun, T. T. Chang, T. T. Han, T. T. Lei, T. Wang, T. Y. Li, T. Yu, T. Y. Xing, T. Z. Song, U. Wiedner, V. Batozskaya, V. Khachatryan, V. Prasad, W. B. Qian, W. B. Yan, W. Chen, W. C. Yan, W. D. Li, W. D. Niu, W. D. Zhu, W. G. Li, W. Gradl, W. H. Shen, W. H. Tian, W. H. Yan, W. Ji, W. J. Zheng, W. J. Zhu, W. K\"uhn, W. M. Liu, W. M. Song, W. N. Lan, W. P. Wang, W. P. Yan, W. Q. Zheng, W. Shan, W. T. Liu, W. Wang, W. X. Fang, W. X. Gong, W. Y. Sun, W. Z. Zhu, X. B. Ji, X. Cai, X. C. Ai, X. C. Dai, X. Chu, X. C. Lou, X. Dong, X. D. Yu, X. F. Wang, X. Guo, X. Han, X. H. Li, X. H. Mo, Xin Wang, X. J. Peng, X. K. Li, X. K. Liu, X. Kui, X. K. Zhou, X. L. Bao, X. L. Du, X. Li, X. Liu, X. L. Ji, X. L. Kang, X. L. Li, X. L. Liu, X. L. Lu, X. L. Luo, X. L. Wang, X. M. Jing, X. M. Zhang, X. N. Wang, X. Pan, X. P. Liu, X. P. Qin, X. P. Xu, X. Q. Hao, X. Q. Jia, X. Q. Yan, X. R. Chen, X. R. Lyu, X. R. Zheng, X. R. Zhou, X. Shi, X. S. Jiang, X. S. Kang, X. S. Qin, X. T. Chen, X. T. Hou, X. T. Huang, X. T. Ma, X. W. Wu, X. X. Ding, X. Y. Chai, X. Y. Chen, X. Y. Li, X. Y. Liu, X. Y. Ma, X. Y. Shan, X. Y. Shen, X. Y. Yang, X. Y. Zhang, X. Y. Zhou, X. Y. Zhuang, X. Zeng, X. Zhou, X. Z. Li, Yanning Wang, Yaqian Wang, Y. A. Tang, Y. Bai, Y. B. Chen, Y. B. Liu, Y. B. Zhao, Y. C. Sun, Y. C. Xu, Y. C. Yu, Y. C. Zhai, Y. C. Zhu, Y. Ding, Y. D. Wang, Y. F. Liang, Y. F. Lyu, Y. F. Wang, Y. Gao, Y. G. Li, Y. G. Xie, Y. H. An, Y. H. Fan, Y. H. Lu, Y. H. Lyu, Y. H. Meng, Y. H. Sun, Y. Hu, Y. H. Wang, Y. H. Xie, Y. H. Yang, Y. H. Zhan, Y. H. Zhang, Y. H. Zheng, Yi. Ding, Yi Liu, Ying Yue, Yi Wang, Y. Jiang, Y. Jin, Y. J. Mao, Y. J. Sun, Y. J. Wang, Y. J. Zeng, Y. K. Heng, Y. Li, Y. Liu, Y. Lu, Y. L. Wang, Y. L. Xiao, Y. L. Zhao, Y. M. Ma, Y. M. Yang, Y. Nefedov, Y. N. Gao, Y. Niu, Y. N. Wang, Yongchao Yu, Youhua Yang, Y. Pan, Y. P. Guo, Y. P. Huang, Y. P. Li, Y. P. Liao, Y. P. Lu, Y. P. Pei, Y. P. Zhang, Y. P. Zhao, Y. Q. Chen, Y. Q. Du, Y. Q. Fang, Y. Q. Yang, Y. R. Hou, Y. Schelhaas, Y. S. Huang, Y. T. Feng, Y. Tian, Y. T. Liang, Y. T. Zhang, Yuan Wang, Yujie Zeng, Yunong Gao, Yu Zhang, Y. Wang, Y. W. Fu, Y. X. Ding, Y. X. Hu, Y. Xie, Y. X. Song, Y. Xu, Y. X. Zhao, Y. X. Zhou, Y. Yang, Y. Y. Duan, Y. Y. Gao, Y. Y. Ji, Y. Y. Kuang, Y. Y. Peng, Y. Yuan, Y. Y. Yan, Y. Z. Che, Y. Zhang, Y. Z. Sun, Y. Z. Yang, Y. Z. Zhou, Z. A. Liu, Z. A. Zhu, Z. D. Liu, Z. D. Zhang, Z. F. Tian, Z. Gao, Z. Guo, Z. G. Zhao, Z. H. Duan, Zhilong Zhang, Zhi Wang, Z. H. Li, Z. H. Lu, Z. H. Qin, Z. H. Qu, Z. H. Tang, Z. H. Zhang, Zh. Zh. Zhang, Zirong Song, Ziyang Zhang, Ziyi Wang, Ziyu Zhang, Z. Jiao, Z. J. Li, Z. J. Shang, Z. J. Xiao, Z. J. Ye, Z. K. Chen, Z. L. Hou, Z. L. Li, Z. L. Liu, Z. L. Wang, Z. L. Zhang, Z. M. Hu, Z. Ning, Z. P. Mao, Z. P. Xie, Z. P. Yao, Z. Q. Liu, Z. Q. Sun, Z. Q. Wang, Z. S. Xu, Z. T. Sun, Z. Wang, Z. W. Ge, Z. Wu, Z. X. Li, Z. X. Liu, Z. X. Meng, Z. X. Zhang, Z. Y. Deng, Z. Y. Li, Z. Y. Liu, Z. Y. Lv, Z. Y. Wang, Z. Y. Yang, Z. Y. You, Z. Y. Zhang, Z. Zhang
The Xi(1530) baryon decays to Xi pi final states with an absolute branching fraction of 91.1 percent.
A machine-rendered reading of the paper's core claim, the
machinery that carries it, and where it could break.
The paper establishes the first absolute branching fractions for the decays of the Xi(1530)^- resonance into Xi^0 pi^- and Xi^- pi^0. Using a large sample of psi(3686) decays, the analysis finds individual branching fractions of 61.4 percent and 29.7 percent respectively, with the combined value at 91.1 percent after accounting for correlations from isospin symmetry. It also provides an updated value for the branching fraction of the psi(3686) to anti-Xi^+ Xi(1530)^- plus charge conjugate. These measurements matter because they provide precise normalization for studies of hyperon decays and test the validity of isospin conservation in strong interactions. A sympathetic reader cares as this quantifies how dominant the two-body decay mode is for this excited state.
Core claim
The central claim is that the absolute branching fraction B(Xi(1530)^- to (Xi pi)^-) equals 91.1 percent with statistical and systematic uncertainties of 6.7 and 6.8 percent, derived from joint treatment of the two isospin-related modes in the decay chain from psi(3686), while the branching fraction of psi(3686) to anti-Xi^+ Xi(1530)^- + c.c. is updated to 8.67 times 10 to the minus 6 with three uncertainties.
What carries the argument
The joint analysis of the two decay modes Xi(1530)^- to Xi^0 pi^- and Xi(1530)^- to Xi^- pi^0 under the assumption of isospin symmetry, which allows treating them as fully correlated to extract the absolute branching fractions from the observed yields.
If this is right
The Xi(1530) resonance decays predominantly via the Xi pi channel, accounting for over 90 percent of its width.
The production branching fraction of Xi(1530) in psi(3686) decays is determined with a total uncertainty of about 11 percent.
Other possible decay modes of the Xi(1530), such as radiative or three-body decays, are limited to less than 10 percent combined.
The ratio of the two observed modes is consistent with the 2:1 expectation from isospin symmetry.
Where Pith is reading between the lines
These are editorial extensions of the paper, not claims the
author makes directly.
These absolute values can be used by other experiments to calibrate their detection efficiencies for similar hyperon decays without relying on relative measurements.
Confirmation at higher precision could reveal small isospin breaking effects if the ratio deviates from theoretical predictions.
Models of baryon spectroscopy can now be tested against these measured fractions to refine predictions for the Xi(1530) width and coupling constants.
Load-bearing premise
The two decay modes are treated as fully correlated under the assumption of isospin symmetry.
What would settle it
An independent measurement of the branching fractions in a different production process that finds a combined value for the two modes significantly below 80 percent or above 100 percent.
Figures
Figures reproduced from
arXiv: 2605.06753
by A. Amoroso, A. A. Zafar, A. Bortone, A. Brueggemann, A. Calcaterra, A. Dbeyssi, A. Denig, A. Gilman, A. Guskov, A. Khoukaz, A. Kupsc, A. Limphirat, A. Marshall, A. N. Zhu, A. Pathak, A. Q. Guo, A. Rivetti, A. Sarantsev, A. Zhemchugov, B. A. Shi, B. C. Ke, BESIII Collaboration: M. Ablikim, B. H. Xiang, Bin Wang, B. J. Liu, B. Kopf, B. L. Zhang, B. Moses, B. M. Zheng, Bo Wang, B. Wang, B. X. Liu, B. X. Yu, B. X. Zhang, B. Zheng, B. Zhong, C. C. Lin, C. D. Fu, C. F. Qiao, C. F. Redmer, C. Geng, Chao Chen, Chao Wang, C. H. Chen, C. Herold, C. H. Heinz, C. H. Li, Ch. Rosner, Chunkai Li, Ch. Y. Shi, C. J. Tang, C. J. Xu, C. K. Li, C. Li, C. Liang, C. Liu, C. L. Luo, C. Normand, Cong Li, Cong Wang, C. P. Shen, C. Q. Deng, C. Q. Feng, C. S. Akondi, C. Wang, C. Xie, C. X. Lin, C. X. Liu, C. X. Yu, C. X. Yue, C. Y. Guan, C. Z. He, C. Zhong, C. Z. Yuan, D. Bettoni, D. B. Xiong, D. Cabiati, D. Dedovich, D. H. Wei, D. H. Zhang, D. Jiang, D. J. Wei, D. M. Li, D. Wei, D. Xiao, D. X. Lin, D. Y. Wang, E. Bianco, E. Di Fiore, E. M. Gersabeck, E. van der Smagt, F. A. Harris, F. Bianchi, F. C. Ma, F. Cossio, F. De Mori, F. E. Maas, Feng Liu, F. Feldbauer, F. Hanisch, F. H. Heinsius, F. H. Liu, F. Li, F. Liu, F. M. Melendi, F. Nerling, F. Rosini, F. R. Zeng, F. Stieler, F. Weidner, F. Yan, F. Z. Qi, G. B. Sun, G. Chen, G. Cibinetto, Gengyuan Zhang, G. F. Cao, G. Felici, G. F. Fan, G. F. Xu, G. Li, G. L. Peng, G. Mezzadri, G. M. Liu, G. R. Che, G. R. Liao, G. Rong, G. S. Huang, G. Wilkinson, G. X. Sun, G. Y. Hou, G. Y. Tang, G. Yu, G. Y. Xiao, G. Y. Zhang, G. Zhao, Han Zhang, H. B. Jiang, H. B. Li, H. B. Liu, H. Cai, H. C. Zhang, Heng Ma, H. F. Shen, H. Gao, H. Guo, H. H. Zhang, H. J. Li, H. J. Lu, H. J. Wang, H. J. Yang, H. K. Sun, H. L. Dai, H. Liang, H. Liu, H. L. Li, H. L. Ma, H. L. Song, H. L. Xia, H. L. Yang, H. M. Hu, H. Miao, H. M. Liu, H. Neuwirth, H. N. Li, H. P. Li, H. P. Peng, H. Q. Zhang, H.-R. Bao, H. R. Qi, H. R. Wang, H. R. Wei, H. R. Wen, H. R. Zhang, H. S. Chen, H. Shi, H. Sun, H. Tabaharizato, Huihui Liu, Hui Li, H. Xiao, H. X. Mao, H. X. Yang, H. Y. Chen, H. Yuan, H. Y. Xu, H. Y. Zhang, H. Zhang, H. Zhou, I. Boyko, I. Denisenko, I. Garzia, I. Mackay, I. Uman, J. B. Gong, J. B. Jiao, J. B. Liu, J. Cheng, J. Cottee-Meldrum, J. D. Gong, J. Dong, J. Fang, J. F. Chang, J. F. Hu, J. F. Qiu, J. F. Shangguan, J. F. Sun, J. F. Wu, J. G. Lu, J. Gollub, J. Gutierrez, J. H. Feng, J. H. Qiao, J. H. Yang, J. H. Zou, Jianyu Zhang, Jie Yuan, Jin Fang, Jin Zhang, Jiyuan Zhang, J. Jackson, J. J. Fan, J. J. Liu, J. J. Qin, J. J. Song, J. J. Tang, J. J. Wang, J. J. Zhang, J. K. Jiao, J. L. Fu, J. Libby, J. L. Ma, J. L. Ping, J. L. Qin, J. L. Shi, J. L. Zhang, J. Muskalla, J. N. Guo, J. N. Li, J. P. Dai, J. P. Wang, J.-P. Zhao, J. P. Zheng, J. Q. Zhang, J. Q. Zhou, J. Rademacker, J. R. Luo, J. S. Li, J. S. Luo, J. S. Yu, J. S. Zhang, J. Tang, Junhao Yin, J. Wang, J. W. Li, J. W. Zhang, J. X. Teng, J. X. Zhang, J. Y. Han, J. Y. Shi, J. Y. Tian, J. Yuan, J. 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Figure 1.Figure 1: Fit to the Mrecoil Ξ¯+ distribution of the ST Ξ¯+ candidates. Data are shown as dots with error bars. The solid red and blue curves are the total fit and the background contribution, respectively. The dashed red curve is the fitted Ξ(1530)− signal. The shaded histogram represents the background shape of the inclusive MC sample. continuum process by Ncon. = σc·L3.686·ϵcon. ·B(Ξ¯+ → Λ¯π +)·B(Λ¯ → pπ¯ +), …view at source ↗Figure 2.Figure 2: The 2-D distributions of MΞ0 versus MΞ(1530)− (left) and MΞ− versus MΞ(1530)− (right) from data. extracted directly from the exclusive MC sample of Ξ(1530)− → Ξ −π 0 . Based on the isospin relation and phase space factors, the ratio r ≡ B(Ξ(1530)−→Ξ 0π −) B(Ξ(1530)−→Ξ−π0) is set to 2.06. Combining the relationship among yields of signal events, detection efficiencies, and BFs, Nbkg3 is related to NΞ0π− in …view at source ↗Figure 3.Figure 3: Projections of simultaneous fit result for data. The top row shows the projections for Ξ(1530)
[PITH_FULL_IMAGE:figures/full_fig_p009_3.png]view at source ↗
read the original abstract
Based on (2712.4+-14.3)*10^{6} psi(3686) events collected with the BESIII detector, the decays Xi(1530)^{-} to Xi^{0} pi^{-} and Xi(1530)^{-} to Xi^{-} pi^{0} are investigated jointly via the process psi(3686) to anti-Xi^{+} Xi(1530)^{-} + c.c. Under the assumption of isospin symmetry, the two decay modes are treated as fully correlated, and we report the first measurement of their absolute branching fractions. The results are B(Xi(1530)^{-} to Xi^{0} pi^{-})=(61.4+-4.5+-4.6)% and B(Xi(1530)^{-} to Xi^{-} pi^{0}) =(29.7+-2.2+-2.2)%. The combined branching fraction of the two decays is B(Xi(1530)^{-} to (Xi pi)^{-})=(91.1+-6.7+-6.8)%, with uncertainties accounting for the correlations between the two modes. Here, the first uncertainties are statistical, while the second are systematic. Additionally, we update the branching fraction of the decay psi(3686) to anti-Xi^{+} Xi(1530)^{-} + c.c. The updated measurement is B(psi(3686) to anti-Xi^{+} Xi(1530)^{-} + c.c.)=(8.67+-0.52+-0.58+-0.57)*10^{-6}, where the first uncertainty is statistical, the second is systematic related to event selection and the fit model, and the third is associated with the interference effect.
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Referee Report
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Summary. The manuscript reports a joint analysis of the decays Ξ(1530)^− → Ξ^0 π^− and Ξ(1530)^− → Ξ^− π^0 using (2712.4 ± 14.3) × 10^6 ψ(3686) events collected with the BESIII detector via the process ψ(3686) → Ξ-bar^+ Ξ(1530)^− + c.c. Under the assumption of isospin symmetry, the two modes are treated as fully correlated when propagating uncertainties. The paper claims the first absolute branching fraction measurements: B(Ξ(1530)^− → Ξ^0 π^−) = (61.4 ± 4.5 ± 4.6)% and B(Ξ(1530)^− → Ξ^− π^0) = (29.7 ± 2.2 ± 2.2)%, yielding a combined B(Ξ(1530)^− → (Ξ π)^−) = (91.1 ± 6.7 ± 6.8)%. It also updates B(ψ(3686) → Ξ-bar^+ Ξ(1530)^− + c.c.) = (8.67 ± 0.52 ± 0.58 ± 0.57) × 10^{-6}.
Significance. If the results hold after addressing the correlation treatment, this constitutes the first absolute branching fraction measurements for these Ξ(1530) decays, providing valuable inputs for testing isospin symmetry in hyperon decays and for normalizing other analyses involving Ξ(1530) resonances. The large data sample and joint fit approach are strengths, as is the explicit separation of statistical and systematic uncertainties in the reported values.
major comments (1)
[Abstract and uncertainty propagation section] Abstract and uncertainty propagation section: The combined branching fraction of (91.1 ± 6.7 ± 6.8)% treats the two decay modes as fully correlated (correlation coefficient = 1) under the isospin symmetry assumption. This is load-bearing for the quoted total uncertainty because the modes share the common ψ(3686) production branching fraction, total event count, and reconstruction efficiencies in the joint analysis. The observed ratio 61.4/29.7 ≈ 2.07 is close to the Clebsch-Gordan expectation of 2, but the manuscript does not quantify the impact of possible isospin-breaking effects (e.g., electromagnetic corrections or phase-space differences) on the combined central value and uncertainty.
minor comments (2)
[Abstract] The abstract and results section should explicitly state the number of observed signal events and the fit quality (e.g., χ²/dof) for each decay mode to allow direct assessment of the statistical component.
[Results section] Clarify in the text whether the third uncertainty on the updated ψ(3686) branching fraction (the interference effect) is treated as fully correlated or independent between the two Ξ(1530) modes.
Simulated Author's Rebuttal
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unresolved
We thank the referee for the careful review and constructive feedback on our manuscript. The single major comment is addressed point by point below, and we outline the revisions we will make.
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Referee: [Abstract and uncertainty propagation section] Abstract and uncertainty propagation section: The combined branching fraction of (91.1 ± 6.7 ± 6.8)% treats the two decay modes as fully correlated (correlation coefficient = 1) under the isospin symmetry assumption. This is load-bearing for the quoted total uncertainty because the modes share the common ψ(3686) production branching fraction, total event count, and reconstruction efficiencies in the joint analysis. The observed ratio 61.4/29.7 ≈ 2.07 is close to the Clebsch-Gordan expectation of 2, but the manuscript does not quantify the impact of possible isospin-breaking effects (e.g., electromagnetic corrections or phase-space differences) on the combined central value and uncertainty.
Authors: We agree that the full-correlation assumption is central to the quoted combined uncertainty and that the manuscript does not explicitly quantify possible isospin-breaking contributions. The choice of correlation coefficient = 1 follows directly from the joint fit: the two modes share the identical data sample of (2712.4 ± 14.3) × 10^6 ψ(3686) events, the same ψ(3686) → Ξ-bar+ Ξ(1530)− + c.c. branching fraction, and the dominant systematic uncertainties arising from event selection and reconstruction efficiencies. The measured ratio 61.4/29.7 ≈ 2.07 is statistically consistent with the Clebsch-Gordan value of 2, which supports the isospin-symmetry premise at the present precision. Phase-space differences between the two modes are negligible given the small mass splitting, and electromagnetic corrections in hyperon decays are known from the literature to be at the sub-percent level. In the revised manuscript we will add a short paragraph in the uncertainty-propagation section that states these considerations explicitly and notes that any residual isospin-breaking effects lie well below the current total uncertainty, thereby leaving the combined central value and error unchanged.
revision: yes
Circularity Check
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No circularity: direct experimental extraction from data counts and efficiencies
full rationale
The paper reports absolute branching fractions extracted from observed event yields in psi(3686) data, corrected by reconstruction efficiencies and normalized to the total number of psi(3686) events. The isospin symmetry assumption is invoked only to set the correlation coefficient to 1 for the combined uncertainty on the two decay modes; it is a standard external physical hypothesis, not a self-definition or fitted parameter renamed as a prediction. No equations reduce the reported B values to prior fitted quantities by construction, and no self-citation chain supplies the central results. The derivation chain remains self-contained against external benchmarks (data counts, MC efficiencies).
The central claim rests on the collected experimental dataset and the domain assumption of isospin symmetry used to correlate the two decay modes. No additional free parameters or invented entities are introduced beyond standard efficiency corrections implicit in any branching fraction analysis.
axioms (1)
domain assumptionisospin symmetry The two decay modes Xi(1530)^- to Xi^0 pi^- and Xi^- pi^0 are treated as fully correlated under this assumption.
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· methodology
Y. X. Guo, S. S. Sen, F. F. An, Y. R. Xing, Z. Ming, Z. Wu, H. L. Dai, H. Y. Kun, L. Cheng, Z. Y. Deng, H. M. Liu, and L. W. Guo, Radiat. Detect. Technol. Methods 12 1, 15 (2017)
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