Observation of the decays B0 → K+π -π0 and B0 → ρ-K +

P. Chang; K. Abe; K. Abe; T. Abe; H. Aihara; Y. Asano; V. Aulchenko; T. Aushev; T. Aziz; S. Bahinipati; A. M. Bakich; Y. Ban; A. Bay; I. Bedny; U. Bitenc; I. Bizjak; A. Bondar; A. Bozek; M. Bracko; J. Brodzicka; T. E. Browder; M. C. Chang; Y. Chao; B. G. Cheon; R. Chistov; S. K. Choi; Y. Choi; S. Cole; M. Danilov; M. Dash; L. Y. Dong; A. Drutskoy; S. Eidelman; V. Eiges; Y. Enari; F. Fang; S. Fratina; N. Gabyshev; A. Garmash; T. Gershon; G. Gokhroo; B. Golob; R. Guo; N. C. Hastings; H. Hayashii; M. Hazumi; T. Higuchi; L. Hinz; T. Hokuue; Y. Hoshi; W. S. Hou; Y. B. Hsiung; H. C. Huang; K. Inami; A. Ishikawa; R. Itoh; H. Iwasaki; M. Iwasaki; Y. Iwasaki; J. H. Kang; J. S. Kang; S. U. Kataoka; N. Katayama; H. Kawai; T. Kawasaki; H. R. Khan; H. Kichimi; H. J. Kim; J. H. Kim; S. K. Kim; T. H. Kim; P. Koppenburg; S. Korpar; P. Križan; P. Krokovny; A. Kuzmin; Y. J. Kwon; S. E. Lee; T. Lesiak; J. Li; S. W. Lin; J. MacNaughton; G. Majumder; F. Mandl; D. Marlow; T. Matsumoto; A. Matyja; W. Mitaroff; H. Miyake; H. Miyata; R. Mizuk; D. Mohapatra; T. Mori; T. Nagamine; Y. Nagasaka; E. Nakano; M. Nakao; H. Nakazawa; Z. Natkaniec; S. Nishida; O. Nitoh; S. Ogawa; T. Okabe; S. Okuno; S. L. Olsen; W. Ostrowicz; H. Ozaki; P. Pakhlov; H. Park; N. Parslow; L. S. Peak; L. E. Piilonen; A. Poluektov; N. Root; M. Rozanska; H. Sagawa; Y. Sakai; O. Schneider; J. Schümann; S. Semenov; K. Senyo; M. E. Sevior; H. Shibuya; V. Sidorov; A. Somov; R. Stamen; S. Stanič; M. Starič; K. Sumisawa; T. Sumiyoshi; S. Suzuki; O. Tajima; F. Takasaki; K. Tamai; N. Tamura; M. Tanaka; Y. Teramoto; T. Tsukamoto; S. Uehara; K. Ueno; T. Uglov; Y. Unno; S. Uno; G. Varner; K. E. Varvell; S. Villa; C. C. Wang; C. H. Wang; M. Z. Wang; M. Watanabe; B. D. Yabsley; Y. Yamada; A. Yamaguchi; Y. Yamashita; M. Yamauchi; J. Ying; C. C. Zhang; J. Zhang; Z. P. Zhang; D. Žontar

doi:10.1016/j.physletb.2004.07.063

Observation of the decays B⁰ → K⁺π ^-π⁰ and B⁰ → ρ^-K ⁺

P. Chang, K. Abe, K. Abe, T. Abe, H. Aihara, Y. Asano, V. Aulchenko, T. Aushev, T. Aziz, S. Bahinipati, A. M. Bakich, Y. Ban, A. Bay, I. Bedny, U. Bitenc, I. Bizjak, A. Bondar, A. Bozek, M. Bracko, J. BrodzickaT. E. Browder, M. C. Chang, Y. Chao, B. G. Cheon, R. Chistov, S. K. Choi, Y. Choi, S. Cole, M. Danilov, M. Dash, L. Y. Dong, A. Drutskoy, S. Eidelman, V. Eiges, Y. Enari, F. Fang, S. Fratina, N. Gabyshev, A. Garmash, T. Gershon, G. Gokhroo, B. Golob, R. Guo, N. C. Hastings, H. Hayashii, M. Hazumi, T. Higuchi, L. Hinz, T. Hokuue, Y. Hoshi, W. S. Hou, Y. B. Hsiung, H. C. Huang, K. Inami, A. Ishikawa, R. Itoh, H. Iwasaki, M. Iwasaki, Y. Iwasaki, J. H. Kang, J. S. Kang, S. U. Kataoka, N. Katayama, H. Kawai, T. Kawasaki, H. R. Khan, H. Kichimi, H. J. Kim, J. H. Kim, S. K. Kim, T. H. Kim, P. Koppenburg, S. Korpar, P. Križan, P. Krokovny, A. Kuzmin, Y. J. Kwon, S. E. Lee, T. Lesiak, J. Li, S. W. Lin, J. MacNaughton, G. Majumder, F. Mandl, D. Marlow, T. Matsumoto, A. Matyja, W. Mitaroff, H. Miyake, H. Miyata, R. Mizuk, D. Mohapatra, T. Mori, T. Nagamine, Y. Nagasaka, E. Nakano, M. Nakao, H. Nakazawa, Z. Natkaniec, S. Nishida, O. Nitoh, S. Ogawa, T. Okabe, S. Okuno, S. L. Olsen, W. Ostrowicz, H. Ozaki, P. Pakhlov, H. Park, N. Parslow, L. S. Peak, L. E. Piilonen, A. Poluektov, N. Root, M. Rozanska, H. Sagawa, Y. Sakai, O. Schneider, J. Schümann, S. Semenov, K. Senyo, M. E. Sevior, H. Shibuya, V. Sidorov, A. Somov, R. Stamen, S. Stanič, M. Starič, K. Sumisawa, T. Sumiyoshi, S. Suzuki, O. Tajima, F. Takasaki, K. Tamai, N. Tamura, M. Tanaka, Y. Teramoto, T. Tsukamoto, S. Uehara, K. Ueno, T. Uglov, Y. Unno, S. Uno, G. Varner, K. E. Varvell, S. Villa, C. C. Wang, C. H. Wang, M. Z. Wang, M. Watanabe, B. D. Yabsley, Y. Yamada, A. Yamaguchi, Y. Yamashita, M. Yamauchi, J. Ying, C. C. Zhang, J. Zhang, Z. P. Zhang, D. Žontar

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Abstract

We report the observation of B0 decays to the K+π-π0 final state using a data sample of 78 fb^-1 collected by the Belle detector at the KEKB e+e- collider. With no assumptions about intermediate states in the decay, the branching fraction is measured to be (36.6-4.3+4.2±3.0)×10-6. We also search for B decays to intermediate two-body states with the same K+π-π0 final state. Significant B signals are observed in the ρ(770)-K+ and K*(892)+π- channels, with branching fractions of (15.1-3.3-1.5-2.1+3.4+1.4+2.0)×10-6 and (14.8-4.4-1.0-0.9+4.6+1.5+2.4) ×10-6, respectively. The first error is statistical, the second is systematic and the third is due to the largest possible interference. Contributions from other possible two-body states will be discussed. No CP asymmetry is found in the inclusive K+π-π0 or ρ-K+ modes, and we set 90% confidence level bounds on the asymmetry of -0.12<ACP<0.26 and -0.18<ACP<0.64, respectively.

Original language	English (US)
Pages (from-to)	148-158
Number of pages	11
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	599
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2004.07.063
State	Published - Oct 14 2004

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.physletb.2004.07.063

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Chang, P., Abe, K., Abe, K., Abe, T., Aihara, H., Asano, Y., Aulchenko, V., Aushev, T., Aziz, T., Bahinipati, S., Bakich, A. M., Ban, Y., Bay, A., Bedny, I., Bitenc, U., Bizjak, I., Bondar, A., Bozek, A., Bracko, M., ... Žontar, D. (2004). Observation of the decays B⁰ → K⁺π ^-π⁰ and B⁰ → ρ^-K ⁺. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 599(3-4), 148-158. https://doi.org/10.1016/j.physletb.2004.07.063

@article{a8ce9a3cde2647ff80c7373e786e04c6,

title = "Observation of the decays B0 → K+π -π0 and B0 → ρ-K +",

abstract = "We report the observation of B0 decays to the K+π-π0 final state using a data sample of 78 fb-1 collected by the Belle detector at the KEKB e+e- collider. With no assumptions about intermediate states in the decay, the branching fraction is measured to be (36.6-4.3+4.2±3.0)×10-6. We also search for B decays to intermediate two-body states with the same K+π-π0 final state. Significant B signals are observed in the ρ(770)-K+ and K*(892)+π- channels, with branching fractions of (15.1-3.3-1.5-2.1+3.4+1.4+2.0)×10-6 and (14.8-4.4-1.0-0.9+4.6+1.5+2.4) ×10-6, respectively. The first error is statistical, the second is systematic and the third is due to the largest possible interference. Contributions from other possible two-body states will be discussed. No CP asymmetry is found in the inclusive K+π-π0 or ρ-K+ modes, and we set 90% confidence level bounds on the asymmetry of -0.12",

author = "P. Chang and K. Abe and K. Abe and T. Abe and H. Aihara and Y. Asano and V. Aulchenko and T. Aushev and T. Aziz and S. Bahinipati and Bakich, {A. M.} and Y. Ban and A. Bay and I. Bedny and U. Bitenc and I. Bizjak and A. Bondar and A. Bozek and M. Bracko and J. Brodzicka and Browder, {T. E.} and Chang, {M. C.} and Y. Chao and Cheon, {B. G.} and R. Chistov and Choi, {S. K.} and Y. Choi and S. Cole and M. Danilov and M. Dash and Dong, {L. Y.} and A. Drutskoy and S. Eidelman and V. Eiges and Y. Enari and F. Fang and S. Fratina and N. Gabyshev and A. Garmash and T. Gershon and G. Gokhroo and B. Golob and R. Guo and Hastings, {N. C.} and H. Hayashii and M. Hazumi and T. Higuchi and L. Hinz and T. Hokuue and Y. Hoshi and Hou, {W. S.} and Hsiung, {Y. B.} and Huang, {H. C.} and K. Inami and A. Ishikawa and R. Itoh and H. Iwasaki and M. Iwasaki and Y. Iwasaki and Kang, {J. H.} and Kang, {J. S.} and Kataoka, {S. U.} and N. Katayama and H. Kawai and T. Kawasaki and Khan, {H. R.} and H. Kichimi and Kim, {H. J.} and Kim, {J. H.} and Kim, {S. K.} and Kim, {T. H.} and P. Koppenburg and S. Korpar and P. Kri{\v z}an and P. Krokovny and A. Kuzmin and Kwon, {Y. J.} and Lee, {S. E.} and T. Lesiak and J. Li and Lin, {S. W.} and J. MacNaughton and G. Majumder and F. Mandl and D. Marlow and T. Matsumoto and A. Matyja and W. Mitaroff and H. Miyake and H. Miyata and R. Mizuk and D. Mohapatra and T. Mori and T. Nagamine and Y. Nagasaka and E. Nakano and M. Nakao and H. Nakazawa and Z. Natkaniec and S. Nishida and O. Nitoh and S. Ogawa and T. Okabe and S. Okuno and Olsen, {S. L.} and W. Ostrowicz and H. Ozaki and P. Pakhlov and H. Park and N. Parslow and Peak, {L. S.} and Piilonen, {L. E.} and A. Poluektov and N. Root and M. Rozanska and H. Sagawa and Y. Sakai and O. Schneider and J. Sch{\"u}mann and S. Semenov and K. Senyo and Sevior, {M. E.} and H. Shibuya and V. Sidorov and A. Somov and R. Stamen and S. Stani{\v c} and M. Stari{\v c} and K. Sumisawa and T. Sumiyoshi and S. Suzuki and O. Tajima and F. Takasaki and K. Tamai and N. Tamura and M. Tanaka and Y. Teramoto and T. Tsukamoto and S. Uehara and K. Ueno and T. Uglov and Y. Unno and S. Uno and G. Varner and Varvell, {K. E.} and S. Villa and Wang, {C. C.} and Wang, {C. H.} and Wang, {M. Z.} and M. Watanabe and Yabsley, {B. D.} and Y. Yamada and A. Yamaguchi and Y. Yamashita and M. Yamauchi and J. Ying and Zhang, {C. C.} and J. Zhang and Zhang, {Z. P.} and D. {\v Z}ontar",

note = "Funding Information: We wish to thank the KEKB accelerator group for the excellent operation of the KEKB accelerator. We acknowledge support from the Ministry of Education, Culture, Sports, Science, and Technology of Japan and the Japan Society for the Promotion of Science; the Australian Research Council and the Australian Department of Education, Science and Training; the National Science Foundation of China under contract No. 10175071; the Department of Science and Technology of India; the BK21 program of the Ministry of Education of Korea and the CHEP SRC program of the Korea Science and Engineering Foundation; the Polish State Committee for Scientific Research under contract No. 2P03B 01324; the Ministry of Science and Technology of the Russian Federation; the Ministry of Education, Science and Sport of the Republic of Slovenia; the National Science Council and the Ministry of Education of Taiwan; and the US Department of Energy.",

year = "2004",

month = oct,

day = "14",

doi = "10.1016/j.physletb.2004.07.063",

language = "English (US)",

volume = "599",

pages = "148--158",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "3-4",

}

Chang, P, Abe, K, Abe, K, Abe, T, Aihara, H, Asano, Y, Aulchenko, V, Aushev, T, Aziz, T, Bahinipati, S, Bakich, AM, Ban, Y, Bay, A, Bedny, I, Bitenc, U, Bizjak, I, Bondar, A, Bozek, A, Bracko, M, Brodzicka, J, Browder, TE, Chang, MC, Chao, Y, Cheon, BG, Chistov, R, Choi, SK, Choi, Y, Cole, S, Danilov, M, Dash, M, Dong, LY, Drutskoy, A, Eidelman, S, Eiges, V, Enari, Y, Fang, F, Fratina, S, Gabyshev, N, Garmash, A, Gershon, T, Gokhroo, G, Golob, B, Guo, R, Hastings, NC, Hayashii, H, Hazumi, M, Higuchi, T, Hinz, L, Hokuue, T, Hoshi, Y, Hou, WS, Hsiung, YB, Huang, HC, Inami, K, Ishikawa, A, Itoh, R, Iwasaki, H, Iwasaki, M, Iwasaki, Y, Kang, JH, Kang, JS, Kataoka, SU, Katayama, N, Kawai, H, Kawasaki, T, Khan, HR, Kichimi, H, Kim, HJ, Kim, JH, Kim, SK, Kim, TH, Koppenburg, P, Korpar, S, Križan, P, Krokovny, P, Kuzmin, A, Kwon, YJ, Lee, SE, Lesiak, T, Li, J, Lin, SW, MacNaughton, J, Majumder, G, Mandl, F, Marlow, D, Matsumoto, T, Matyja, A, Mitaroff, W, Miyake, H, Miyata, H, Mizuk, R, Mohapatra, D, Mori, T, Nagamine, T, Nagasaka, Y, Nakano, E, Nakao, M, Nakazawa, H, Natkaniec, Z, Nishida, S, Nitoh, O, Ogawa, S, Okabe, T, Okuno, S, Olsen, SL, Ostrowicz, W, Ozaki, H, Pakhlov, P, Park, H, Parslow, N, Peak, LS, Piilonen, LE, Poluektov, A, Root, N, Rozanska, M, Sagawa, H, Sakai, Y, Schneider, O, Schümann, J, Semenov, S, Senyo, K, Sevior, ME, Shibuya, H, Sidorov, V, Somov, A, Stamen, R, Stanič, S, Starič, M, Sumisawa, K, Sumiyoshi, T, Suzuki, S, Tajima, O, Takasaki, F, Tamai, K, Tamura, N, Tanaka, M, Teramoto, Y, Tsukamoto, T, Uehara, S, Ueno, K, Uglov, T, Unno, Y, Uno, S, Varner, G, Varvell, KE, Villa, S, Wang, CC, Wang, CH, Wang, MZ, Watanabe, M, Yabsley, BD, Yamada, Y, Yamaguchi, A, Yamashita, Y, Yamauchi, M, Ying, J, Zhang, CC, Zhang, J, Zhang, ZP & Žontar, D 2004, 'Observation of the decays B⁰ → K⁺π ^-π⁰ and B⁰ → ρ^-K ⁺', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 599, no. 3-4, pp. 148-158. https://doi.org/10.1016/j.physletb.2004.07.063

TY - JOUR

T1 - Observation of the decays B0 → K+π -π0 and B0 → ρ-K +

AU - Chang, P.

AU - Abe, K.

AU - Abe, T.

AU - Aihara, H.

AU - Asano, Y.

AU - Aulchenko, V.

AU - Aushev, T.

AU - Aziz, T.

AU - Bahinipati, S.

AU - Bakich, A. M.

AU - Ban, Y.

AU - Bay, A.

AU - Bedny, I.

AU - Bitenc, U.

AU - Bizjak, I.

AU - Bondar, A.

AU - Bozek, A.

AU - Bracko, M.

AU - Brodzicka, J.

AU - Browder, T. E.

AU - Chang, M. C.

AU - Chao, Y.

AU - Cheon, B. G.

AU - Chistov, R.

AU - Choi, S. K.

AU - Choi, Y.

AU - Cole, S.

AU - Danilov, M.

AU - Dash, M.

AU - Dong, L. Y.

AU - Drutskoy, A.

AU - Eidelman, S.

AU - Eiges, V.

AU - Enari, Y.

AU - Fang, F.

AU - Fratina, S.

AU - Gabyshev, N.

AU - Garmash, A.

AU - Gershon, T.

AU - Gokhroo, G.

AU - Golob, B.

AU - Guo, R.

AU - Hastings, N. C.

AU - Hayashii, H.

AU - Hazumi, M.

AU - Higuchi, T.

AU - Hinz, L.

AU - Hokuue, T.

AU - Hoshi, Y.

AU - Hou, W. S.

AU - Hsiung, Y. B.

AU - Huang, H. C.

AU - Inami, K.

AU - Ishikawa, A.

AU - Itoh, R.

AU - Iwasaki, H.

AU - Iwasaki, M.

AU - Iwasaki, Y.

AU - Kang, J. H.

AU - Kang, J. S.

AU - Kataoka, S. U.

AU - Katayama, N.

AU - Kawai, H.

AU - Kawasaki, T.

AU - Khan, H. R.

AU - Kichimi, H.

AU - Kim, H. J.

AU - Kim, J. H.

AU - Kim, S. K.

AU - Kim, T. H.

AU - Koppenburg, P.

AU - Korpar, S.

AU - Križan, P.

AU - Krokovny, P.

AU - Kuzmin, A.

AU - Kwon, Y. J.

AU - Lee, S. E.

AU - Lesiak, T.

AU - Li, J.

AU - Lin, S. W.

AU - MacNaughton, J.

AU - Majumder, G.

AU - Mandl, F.

AU - Marlow, D.

AU - Matsumoto, T.

AU - Matyja, A.

AU - Mitaroff, W.

AU - Miyake, H.

AU - Miyata, H.

AU - Mizuk, R.

AU - Mohapatra, D.

AU - Mori, T.

AU - Nagamine, T.

AU - Nagasaka, Y.

AU - Nakano, E.

AU - Nakao, M.

AU - Nakazawa, H.

AU - Natkaniec, Z.

AU - Nishida, S.

AU - Nitoh, O.

AU - Ogawa, S.

AU - Okabe, T.

AU - Okuno, S.

AU - Olsen, S. L.

AU - Ostrowicz, W.

AU - Ozaki, H.

AU - Pakhlov, P.

AU - Park, H.

AU - Parslow, N.

AU - Peak, L. S.

AU - Piilonen, L. E.

AU - Poluektov, A.

AU - Root, N.

AU - Rozanska, M.

AU - Sagawa, H.

AU - Sakai, Y.

AU - Schneider, O.

AU - Schümann, J.

AU - Semenov, S.

AU - Senyo, K.

AU - Sevior, M. E.

AU - Shibuya, H.

AU - Sidorov, V.

AU - Somov, A.

AU - Stamen, R.

AU - Stanič, S.

AU - Starič, M.

AU - Sumisawa, K.

AU - Sumiyoshi, T.

AU - Suzuki, S.

AU - Tajima, O.

AU - Takasaki, F.

AU - Tamai, K.

AU - Tamura, N.

AU - Tanaka, M.

AU - Teramoto, Y.

AU - Tsukamoto, T.

AU - Uehara, S.

AU - Ueno, K.

AU - Uglov, T.

AU - Unno, Y.

AU - Uno, S.

AU - Varner, G.

AU - Varvell, K. E.

AU - Villa, S.

AU - Wang, C. C.

AU - Wang, C. H.

AU - Wang, M. Z.

AU - Watanabe, M.

AU - Yabsley, B. D.

AU - Yamada, Y.

AU - Yamaguchi, A.

AU - Yamashita, Y.

AU - Yamauchi, M.

AU - Ying, J.

AU - Zhang, C. C.

AU - Zhang, J.

AU - Zhang, Z. P.

AU - Žontar, D.

N1 - Funding Information: We wish to thank the KEKB accelerator group for the excellent operation of the KEKB accelerator. We acknowledge support from the Ministry of Education, Culture, Sports, Science, and Technology of Japan and the Japan Society for the Promotion of Science; the Australian Research Council and the Australian Department of Education, Science and Training; the National Science Foundation of China under contract No. 10175071; the Department of Science and Technology of India; the BK21 program of the Ministry of Education of Korea and the CHEP SRC program of the Korea Science and Engineering Foundation; the Polish State Committee for Scientific Research under contract No. 2P03B 01324; the Ministry of Science and Technology of the Russian Federation; the Ministry of Education, Science and Sport of the Republic of Slovenia; the National Science Council and the Ministry of Education of Taiwan; and the US Department of Energy.

PY - 2004/10/14

Y1 - 2004/10/14

N2 - We report the observation of B0 decays to the K+π-π0 final state using a data sample of 78 fb-1 collected by the Belle detector at the KEKB e+e- collider. With no assumptions about intermediate states in the decay, the branching fraction is measured to be (36.6-4.3+4.2±3.0)×10-6. We also search for B decays to intermediate two-body states with the same K+π-π0 final state. Significant B signals are observed in the ρ(770)-K+ and K*(892)+π- channels, with branching fractions of (15.1-3.3-1.5-2.1+3.4+1.4+2.0)×10-6 and (14.8-4.4-1.0-0.9+4.6+1.5+2.4) ×10-6, respectively. The first error is statistical, the second is systematic and the third is due to the largest possible interference. Contributions from other possible two-body states will be discussed. No CP asymmetry is found in the inclusive K+π-π0 or ρ-K+ modes, and we set 90% confidence level bounds on the asymmetry of -0.12

AB - We report the observation of B0 decays to the K+π-π0 final state using a data sample of 78 fb-1 collected by the Belle detector at the KEKB e+e- collider. With no assumptions about intermediate states in the decay, the branching fraction is measured to be (36.6-4.3+4.2±3.0)×10-6. We also search for B decays to intermediate two-body states with the same K+π-π0 final state. Significant B signals are observed in the ρ(770)-K+ and K*(892)+π- channels, with branching fractions of (15.1-3.3-1.5-2.1+3.4+1.4+2.0)×10-6 and (14.8-4.4-1.0-0.9+4.6+1.5+2.4) ×10-6, respectively. The first error is statistical, the second is systematic and the third is due to the largest possible interference. Contributions from other possible two-body states will be discussed. No CP asymmetry is found in the inclusive K+π-π0 or ρ-K+ modes, and we set 90% confidence level bounds on the asymmetry of -0.12

UR - http://www.scopus.com/inward/record.url?scp=4544376081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4544376081&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2004.07.063

DO - 10.1016/j.physletb.2004.07.063

M3 - Article

AN - SCOPUS:4544376081

SN - 0370-2693

VL - 599

SP - 148

EP - 158

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

Observation of the decays B⁰ → K⁺π ^-π⁰ and B⁰ → ρ^-K ⁺

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