矢量介子及其激发态的讨论

魏科伟; 陈兵; 王振洋; 祁敬娟; 陈新云; 翁铭华

doi:10.7498/aps.62.181101

摘要

在Regge唯象下, 首先研究自旋-宇称多重态中六个介子质量间的关系式. 运用验证后的关系式, 重点计算基态矢量介子多重态(13S1)中尚未观测到的双重粲-底介子 Bc*的质量. 还计算了径向激发态23S1多重态的介子质量和轨道激发态13G5介子九重态的质量. 根据计算结果结合实验数据和其他理论进行讨论, 建议在6355 MeV附近寻找和研究 Bc*介子, 将 D(2600)和 Ds1(2700)分别作为主要成分为 nc(23S1)和 sc(23S1)的态进行研究; 分别在5812, 5917, 6896 MeV附近寻找矢量介子第一径向激发态 B*(2S), Bs*(2S)和 Bc*(2S). 建议将 5(2250)安排在13G5介子九重态的同位旋标量态, 实验上在2259 MeV附近进一步研究 5(2350)的性质, 在2438 MeV附近寻找和研究 5(13G5). 研究结果对于相关介子的自旋-宇称安排和通过实验寻找新的介子激发态具有重要的参考价值.

关键词:

Regge唯象 /
矢量介子 /
质量谱

Abstract

Based on the Regge phenomenology, we first study the mass relations for six mesons involving three flavors in one spin-parity multiplet. Using the examined mass relation, mass of the unobserved vector doubly heavy charm-bottom Bc*(13S1) is calculated. Masses of the unobserved radial excited vector (23S1) mesons and the orbital excited 13G5 meson nonet are given. Our predictions are discussed. We suggest searching Bc* near 6355 MeV. D(2600) and Ds1(2700) can be considered as candidates for nc(23S1 and sc(23S1) dominated states, respectively. We suggest searching B*(2S), Bs*(2S) and Bc*(2S) near 5812, 5917 and 6896 MeV, respectively. We suggest restudying 5(2350) near 2259 MeV, searching 5(13G5) near 2438 MeV and identifying 5(2250) as isoscalar member of 13G5 nonet. The results may be profoundly useful for the JP assignment of related states and the discovery of the unobserved excited mesons.

Keywords:

作者及机构信息

1.
安阳师范学院物理与电气工程学院, 安阳 455000;

2.
中国科学院高能物理研究所, 大科学装置理论物理研究中心, 北京 100049;

3.
北京师范大学核科学与技术学院, 北京 100875;

4.
闽江学院物理学与电子信息工程系, 福州 350108

基金项目: 国家自然科学基金(批准号:11147197,U1204115,11247287,11275025,11261130311);河南省教育厅科学技术研究重点项目(批准号:12B140001,13A140014)和安阳师范学院大学生创新基金项目(批准号:ASCX/2013-Z62)资助的课题.

Authors and contacts

1.
College of Physics and Electrical Engineering, Anyang Normal University, Anyang 455000, China;

2.
Theoretical Physics Center for Sciences Facilities, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;

3.
College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China;

4.
Department of Physics and Electronic Information Engineering, Minjiang University, Fuzhou 350108, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11147197, U1204115, 11247287, 11275025, 11261130311), the Key Program of Scientific and Technological Research of the Education Department of Henan Province, China (Grant Nos. 12B140001, 13A140014) and the Innovation Fund of Undergraduate at Anyang Normal University, China (Grant No. ASCX/2013-Z62).

参考文献

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[37]	Aaij R (LHCb Collab.) 2012 Phys. Rev. Lett. 109 232001
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[57]	Aubert B (BABAR Collab.) 2009 Phys. Rev. D 80 092003
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[59]	Aaij R (LHCb Collab.) 2012 J. High Energy Phys. 1210 151
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[61]	Matsuki T, Morii T, Sudoh K 2007 Eur. Phys. J. A 31 701
[62]	Badalian A M, Bakker B L G 2011 Phys. Rev. D 84 034006
[63]	Devlani N, Rai A 2011 Phys. Rev. D 84 074030
[64]	Colangelo P, De Fazio F, Giannuzzi F, Nicotri S 2012 Phys. Rev. D 86 054024
[65]	Chen B, Wang D X, Zhang A 2009 Phys. Rev. D 80 071502
[66]	Wang D X, Chen B, Zhang A 2011 Chin. Phys. C 35 525
[67]	Segovia J, Entem D R, Fernández F 2012 Phys. Lett. B 715 322
[68]	Wang G L, Zhang J M, Wang Z H 2009 Phys. Lett. B 681 326
[69]	Close F E, Thomas C E, Lakhina O, Swanson E S 2007 Phys. Lett. B 647 159
[70]	Li D M, Ji P F, Ma B 2011 Eur. Phys. J. C 71 1582
[71]	Martin A D, Pennington M R 1980 Nucl. Phys. B 169 216
[72]	Anisovich A V, Baker C A, Batty C J, Bugg D V, Montanet L, Nikonov V A, Sarantsev A V, Sarantsev V V, Zou B S 2002 Phys. Lett. B 542 19

施引文献

[1]	Godfery S, Napolitano J N 1999 Rev. Mod. Phys. 71 1411
[2]	Beringer J (Particle Data Group) 2012 Phys. Rev. D 86 010001
[3]	Hagiwara K (Particle Data Group) 2002 Phys. Rev. D 66 1
[4]	Nakamura K (Particle Data Group) 2010 J. Phys. G 37 075021
[5]	Li B Q, Chao K T 2009 Phys. Rev. D 79 094004
[6]	Wei K W, Guo X H 2010 Phys. Rev. D 81 076005
[7]	Guo X H, Wei K W, Wu X H 2008 Phys. Rev. D 78 056005
[8]	Wei K W, Dong X P, L G 2011 Int. J. Mod. Phys. A 26 2065
[9]	Feng X C, Wei K W, Wu J, Zhang Y Q, Wu M Y, Jiang F C 2013 Adv. High Energy Phys. 2013 704529
[10]	Guo S H 1965 Acta Phys. Sin. 21 1689 (in Chinese) [郭硕鸿 1965 21 1689]
[11]	Ebert D, Faustov R N, Galkin V O 2011 Eur. Phys. J. C 71 1825
[12]	Anisovich A V, Anisovich V V, Sarantsev A V 2000 Phys. Rev. D 62 051502(R)
[13]	Zhang A 2007 Phys. Lett. B 647 140
[14]	Li D M, Wei K W, Yu H 2005 Eur. Phys. J. A 25 263
[15]	Feng X C, Wei K W, Zhang G J 2006 Chin. Phys. 15 2906
[16]	Liu Y H 2009 Chin. Phys. B 18 1828
[17]	Feng X C, Jiang F C, Chang T Q, Feng J L 2008 Chin. Phys. B 17 4472
[18]	Feng X C, Li D M 2005 Acta Phys. Sin. 54 4084 (in Chinese) [冯学超, 李德民 2005 54 4084]
[19]	Feng X C, Wei K W 2012 Chin. Phys. Lett. 29 101101
[20]	Feng X C, Chang T Q 2012 Acta Phys. Sin. 61 231401 (in Chinese) [冯学超, 常同钦 2012 61 231401]
[21]	L J, Yang G 2011 Acta Phys. Sin. 60 101201 (in Chinese) [吕健, 杨光 2011 60 101201]
[22]	Li D M, Ma B, Liu Y H 2007 Eur. Phys. J. C 51 359
[23]	Li D M, Ma B, Li Y X, Yao Q K, Yu H 2004 Eur. Phys. J. C 37 323
[24]	Regge T 1959 Nuovo Cim. 14 951
[25]	Chew G F, Frautschi S C 1962 Phys. Rev. Lett. 8 41
[26]	Burakovsky L, Goldman T 1998 Phys. Lett. B 434 251
[27]	Tashiro T 1987 Z. Phys. C 35 21
[28]	Lykasov G I, Sergeenko M N 1991 Z. Phys. C 52 635
[29]	Basdevant J L, Boukraa S 1985 Z. Phys. C 28 413
[30]	Kaidalov A B 1982 Z. Phys. C 12 63
[31]	Brower R C, Ellis J, Schmidt M G, Weis J H 1977 Nucl. Phys. B 128 175
[32]	Kobylinsky N A, Martynov E S, Prognimak A B 1979 Ukr. Fiz. Zh. 24 969
[33]	Dixit V V, Balazs L A P 1979 Phys. Rev. D 20 816
[34]	Pasupathy J 1976 Phys. Rev. Lett. 37 1336
[35]	Igi K 1977 Phys. Lett. B 66 276
[36]	Cassing W, Kondratyuk L A, Lykasov G I, Rzjanin M V 2001 Phys. Lett. B 513 1
[37]	Aaij R (LHCb Collab.) 2012 Phys. Rev. Lett. 109 232001
[38]	Davies C T H, Hornbostel K, Lepage G P, Lidsey A J, Shigemitsu J, Sloan J H 1996 Phys. Lett. B 382 131
[39]	Chen Y Q, Kuang Y P 1992 Phys. Rev. D 46 1165
[40]	Fulcher L P 1999 Phys. Rev. D 60 074006
[41]	Rai A K, Vinodkumar P C 2006 Pramana 66 953
[42]	Zeng J, Van Orden J W, Roberts W 1995 Phys. Rev. D 52 5229
[43]	Godfrey S 2004 Phys. Rev. D 70 054017
[44]	Wang Z G 2012 arXiv:1203.6252 [hep-ph]
[45]	Godfrey S, Isgur N 1985 Phys. Rev. D 32 189
[46]	Ebert D, Galkin V O, Faustov R N 1998 Phys. Rev. D 57 5663
[47]	Li D M, Ma B, Feng X C, Yu H 2005 Mod. Phys. Lett. A 20 2497
[48]	Törnqvist N A 1991 Nucl. Phys. B 21 (Proc. Suppl.) 196
[49]	Burakovsky L, Goldman T 1997 Nucl. Phys. A 625 220
[50]	del Amo Sanchez P (BABAR Collab.) 2010 Phys. Rev. D 82 111101
[51]	Zhong X H 2010 Phys. Rev. D 82 114014
[52]	Sun Z F, Yu J S, Liu X, Matsuki T 2010 Phys. Rev. D 82 111501
[53]	Li D M, Ma B 2010 Phys. Rev. D 81 014021
[54]	Wang Z G 2011 Phys. Rev. D 83 014009
[55]	Zhou Z Y, Xiao Z 2012 Phys. Rev. D 84 034023
[56]	Aubert B (BABAR Collab.) 2006 Phys. Rev. Lett. 97 222001
[57]	Aubert B (BABAR Collab.) 2009 Phys. Rev. D 80 092003
[58]	Brodzicka J (Belle Collab.) 2008 Phys. Rev. Lett. 100 092001
[59]	Aaij R (LHCb Collab.) 2012 J. High Energy Phys. 1210 151
[60]	Ebert D, Faustov R N, Galkin V O 2010 Eur. Phys. J. C 66 197
[61]	Matsuki T, Morii T, Sudoh K 2007 Eur. Phys. J. A 31 701
[62]	Badalian A M, Bakker B L G 2011 Phys. Rev. D 84 034006
[63]	Devlani N, Rai A 2011 Phys. Rev. D 84 074030
[64]	Colangelo P, De Fazio F, Giannuzzi F, Nicotri S 2012 Phys. Rev. D 86 054024
[65]	Chen B, Wang D X, Zhang A 2009 Phys. Rev. D 80 071502
[66]	Wang D X, Chen B, Zhang A 2011 Chin. Phys. C 35 525
[67]	Segovia J, Entem D R, Fernández F 2012 Phys. Lett. B 715 322
[68]	Wang G L, Zhang J M, Wang Z H 2009 Phys. Lett. B 681 326
[69]	Close F E, Thomas C E, Lakhina O, Swanson E S 2007 Phys. Lett. B 647 159
[70]	Li D M, Ji P F, Ma B 2011 Eur. Phys. J. C 71 1582
[71]	Martin A D, Pennington M R 1980 Nucl. Phys. B 169 216
[72]	Anisovich A V, Baker C A, Batty C J, Bugg D V, Montanet L, Nikonov V A, Sarantsev A V, Sarantsev V V, Zou B S 2002 Phys. Lett. B 542 19

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