R ( 3780 ) Resonance Interpreted as the 1 D 1 3 -Wave Dominant State of Charmonium from Precise Measurements of the Cross Section of e + e − → Hadrons

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Ai, X. C.; Aliberti, R.; Amoroso, A.; An, M. R.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F.; Bianco, E.; Bloms, J.; Bortone, A.; Boyko, I.; Briere, R. A.; Brueggemann, A.; Cai, H.; Cai, X.; Calcaterra, A.; Cao, G. F.; Cao, N.; Cetin, S. A.; Chang, J. F.; Chang, T. T.; Chang, W. L.; Che, G. R.; Chelkov, G.; Chen, C.; Chen, Chao; Chen, G.; Chen, H. S.; Chen, M. L.; Chen, S. J.; Chen, S. M.; Chen, T.; Chen, X. R.; Chen, X. T.; Chen, Y. B.; Chen, Y. Q.; Chen, Z. J.; Cheng, W. S.; Choi, S. K.; Chu, X.; Cibinetto, G.; Coen, S. C.; Cossio, F.; Cui, J. J.; Dai, H. L.; Dai, J. P.; Dbeyssi, A.; de Boer, R. E.; Dedovich, D.; Deng, Z. Y.; Denig, A.; Denysenko, I.; Destefanis, M.; De Mori, F.; Ding, B.; Ding, X. X.; Ding, Y.; Ding, Y.; Dong, J.; Dong, L. Y.; Dong, M. Y.; Dong, X.; Du, S. X.; Duan, Z. H.; Egorov, P.; Fan, Y. L.; Fang, J.; Fang, S. 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doi:10.1103/PhysRevLett.133.241902

Title: $R (3780)$ Resonance Interpreted as the $1 {}^{3}{D_{1}}$ -Wave Dominant State of Charmonium from Precise Measurements of the Cross Section of $e^{+} e^{-} \to Hadrons$

Journal Article · 10 December 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.133.241902 · OSTI ID:2480992

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Ai, X. C.; Aliberti, R.; Amoroso, A.; An, M. R.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F.; Bianco, E. more »

We report the precise measurements of the cross section of $e^{+} e^{-} \to hadrons$ at center-of-mass energies from 3.645 to 3.871 GeV. We thereby perform the most precise study of the cross sections and find a complex system composed of three resonances of $R (3760)$ , $R (3780)$ , and $R (3810)$ . For the first time, we measure the $R (3810)$ electronic width to be $(19.4 \pm 7.4 \pm 12.1) eV$ . For the $R (3760)$ resonance, we measure the mass to be $(3751.9 \pm 3.8 \pm 2.8) MeV / c^{2}$ , the total width to be $(32.8 \pm 5.8 \pm 8.7) MeV$ , and the electronic width to be $(184 \pm 75 \pm 86) eV$ . For the $R (3780)$ resonance, we measure its mass to be $(3778.7 \pm 0.5 \pm 0.3) MeV / c^{2}$ , total width to be $(20.3 \pm 0.8 \pm 1.7) MeV$ , and electronic width to be $(265 \pm 67 \pm 83) eV$ . Forty-seven years ago, the $ψ (3770)$ resonance was discovered, and was subsequently interpreted as the $1 {}^{3}{D_{1}}$ -wave dominant state of charmonium. However, our analysis of the total-hadron cross sections indicates that the $ψ (3770)$ is not a single state, but a complex system composed of the $R (3760)$ , $R (3780)$ , and $R (3810)$ resonances. Among these, we interpret the $R (3780)$ is a resonance dominated by the $1 {}^{3}{D_{1}}$ charmonium state. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER41374

OSTI ID:: 2480992

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 133; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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