轴矢介子的质量和混合角

吕健; 杨光

doi:10.7498/aps.60.101201

摘要

根据质量劈裂公式计算了轴矢介子多重态(11P1)中底偶素的质量,然后利用粒子表上最新的实验数据,在雷吉唯象的框架下计算轴矢介子多重态中双重介子Bc1、奇异偶素(ss-bar和奇异介子K1B的质量. 最后在介子-介子混合的框架下,计算了K1A - K1B混合角和轴矢介子九重态中两个同位旋标量态的混合角. 我们建议实验上在1478 MeV能量附近进一步研究轴矢介子h1(1380)的性质,在6774 MeV能量附近寻找和研究轴矢介子Bc1(1P).本文的计算结果对于实验上寻找还没有观测到的双重介子态Bc1以及理解K1A - K1B混合和轴矢介子九重态的混合有一定的意义.

关键词:

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:

作者及机构信息

吕健¹,
杨光²

1.
华北水利水电学院数学与信息科学学院,郑州 450011;

2.
焦作大学基础科学系,焦作 454000

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

参考文献

[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]

施引文献

[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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