Mass spectrum and mixing angle of axial-vector mesons

Lü Jian; Yang Guang

doi:10.7498/aps.60.101201

Abstract

In this work, using the formula for hyperfine splittings, we first calculate the mass of the bottomonium member for the axial-vector multiplet (11P1). Then, the masses of the axial-vector mesons Bc1,(ss and K1B are extracted in Regge phenomenology. After that, we estimate the nonet mixing angle and the mixing angle for K1A - K1B. We suggest restudying h1(1380) near 1478 MeV and searching Bc1(1P) near 6774 MeV. The predictions may be useful for the discovery of the unobserved doubly heavy meson Bc1 and useful for understanding the K1A - K1B mixing and the axial-vector (11P1) nonet mixing.

Keywords:

Authors and contacts

Lü Jian¹,
Yang Guang²

1.
College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;
2.
Basic Teaching Department, Jiaozuo University, Jiaozuo 454000, China

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Cited By

[1]	Nakamura K, Hagiwara K, Hikasa K (Particle Data Group) 2010 J. Phys. G 37 075021
[2]
[3]	Amsler C, Doser M, Antonelli M (Particle Data Group) 2008 Phys. Lett. B 667 1
[4]	Aston D, Awaji N, Bienz T, Bird F, Amore J D, Dunwoodie W, Endorf R, Fujii K, Hayashi H, Iwata S, Johnson W b, Kajikawa R, Kunz P, Leith D W G s, Levinson L, Matsui T, Meadows B T, Miyamoto A, Nussbaum M, Ozaki H, Pak C O, ratcliff B N, Schultz D, Shapiro S, Shimomura T, Sinervo P K, Sugiyama A, Suzuki S, Tarnopolsky G, Tauchi T, Toge N, Ukai K, Waite A, Williams S 1988 Phys. Lett. B 201 573
[5]
[6]	Abele A, Adomeit J, Amsler C (Crystal Barrel Collaboration) 1997 Phys. Lett. B 415 280
[7]
[8]	Regge, T 1959 Nuovo Cim. 14, 951; Regge T, 1960 Nuovo Cim. 18 947
[9]
[10]	Chew G F, Frantschi S C 1961 Phys. Rev. Letters 7 394; Chew G F, Frantschi S C 1962 Phys. Rev. Letters 8 41
[11]
[12]
[13]	Collins P D B, 1977, An introduction to Regge theory and high energy physics(1st ed), (Cambridge University Press)p102; Gribov V N, 2003, The theory of complex angular momenta: Gribov lectures on theoretical physics(1st ed), (Cambridge University Press)p32
[14]
[15]	Guo S H 1965 Acta Phys. Sin. 21 1689 (in Chinese) [郭硕鸿 1965 物理学报 21 1689]
[16]	Kaidalov A B 1982 Z. Phys. C 12 63
[17]
[18]	Brower R C, Ellis J, Schmidt M G, Weis J H 1977 Nucl. Phys. B 128 175
[19]
[20]	Kawarabayashi K, Kitakado S, Yabuki H, 1969 Phys. Lett. B 28 432
[21]
[22]	Cassing W, Kondratyuk L A, Lykasov G I, Rzjanin M V, 2001 Phys. Lett. B 513 1
[23]
[24]	Guo X H, Wei K W, Wu X H 2008 Phys. Rev. D 78 056005
[25]
[26]
[27]	Li D M, Wei K W, Yu H 2005 Eur. Phys. J. A 25 263 Feng X C, Wei K W and Zhang G J 2006 Chin. Phys. 15 2906 Liu Y H, Feng X C, Zhang J J, 2010 Eur. Phys. J. A 43 379
[28]
[29]	Anisovich A V, Anisovich V V, Sarantsev A V 2000 Phys. Rev. D 62 051502(R);Anisovich V V 2002 AIP Conf. Proc. 619, 197;Anisovich V V 2004 Phys. Usp. 47 45 ;Anisovich VV, 2004 AIP Conf. Proc. 717 441
[30]	Burakovsky L, Goldman T, Horwitz L P, 1997 Phys. Rev. D 56 7119; Burakovsky L, Goldman T, Horwitz L P, 1998 J. Phys. G 24 771
[31]
[32]
[33]	Zhang A, 2005 Phys. Rev. D 72 017902
[34]	Li D M, Ma B, Li Y X, Yao Q K, Yu H, 2004 Eur. Phys. J. C 37 323
[35]
[36]
[37]	Feng X C, Jiang F C, Chang T Q, Feng J L 2008 Chinese Physics B 17 4472 Feng X C, Li D M 2005 Acta Phys. Sin. 54 4084 (in Chinese) [冯学超、李德民 2005 物理学报 54 4084]
[38]	Liu Y H 2009 Chinese Physics B 18 1828
[39]
[40]
[41]	Eichten E J, Quigg C 1994 Phys. Rev. D 49 5845
[42]	Zhang A 2007 Phys. Lett. B 647 140 Kong Y M, Zhang A 2007 Phys. Lett. B 657 192
[43]
[44]
[45]	Motyka L, Zalewski K 1998 Eur. Phys. J. C 4 107
[46]
[47]	Lees J P, Poireau V, Prencipe E (The BABAR Collaboration) 2011 arXiv:1102.4565
[48]
[49]	Wei K W, Guo X H 2010 Phys. Rev. D 81 076005
[50]	El-Hady Abd A, Spence J R, Vary J P 2005 Phys. Rev. D 71 034006
[51]
[52]	Chiu T W, Hsieh T H, Huang C H, Ogawa K (TWQCD Collaboration), 2007 Phys. Lett. B 651 171
[53]
[54]	Davies C T H, Hornbostel K, Lepage G P, Lidsey A J, Shigemitsu J, Sloan J H, 1996 Phys. Lett. B 382 131
[55]
[56]
[57]	Ebert D, Faustov R N, Galkin V O, 2003 Phys. Rev. D 67 014027
[58]
[59]	Godfrey S, 2004 Phys. Rev. D 70 054017
[60]
[61]	Chen Y Q, Kuang Y P, 1992 Phys. Rev. D 46 1165.
[62]
[63]	Fulcher L P, 1999 Phys. Rev. D 60 074006
[64]	Delbourgo R, Scadron M D 1998 Int. J. Mod. Phys. A 13 657 Scadron M D et al, 2004 Phys. Rev. D 69 014010
[65]
[66]
[67]	Li D M, Yu H, Shen Q X 2001 J. Phys. G 27 807
[68]	Chliapnikov P V 2000. Phys. Lett. B 496 129.Burakovsky L, Goldman T 1998 Phys. Rev. D 57 2879
[69]
[70]	Suzuki M, 1997 Phys. Rev. D 47 1252
[71]
[72]
[73]	Vijande J, Fern'andez F, Valcarce A 2005 J. Phys. G 31 481
[74]	Cheng H Y 2003 Phys. Rev. D 67 094007
[75]
[76]	Li D M, Ma B, Yu H 2005 Eur. Phys. J. A 26 141
[77]
[78]	Godfrey S, Isgur N 1985 Phys. Rev. D 32 189
[79]

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Vol. 60, Issue 10 - 2011-05-20

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