Study of singlet-triplet mixing via semileptonic decays

JIANG Yue; WANG Guo-Li; WANG Tian-Hong; JU Wan-Li

doi:10.1088/1674-1137/37/1/013101

Chinese Physics C> 2013, Vol. 37> Issue(1) : 013101 DOI: 10.1088/1674-1137/37/1/013101

Study of singlet-triplet mixing via semileptonic decays

Abstract
HTML
Reference
Related

PDF

Abstract：
The singlet-triplet mixing of ¹P₁-³P₁ is studied via calculating the branching ratios of semileptonic decay B_s→D_s1lν and B→D₁lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q² region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.

References

[1]

Rosner J. Comm. Nucl. Part. Phys., 1986, 16: 109[2] Isgur N, Wise M B. Phys. Rev. D, 1991, 43: 819[3] Godfrey S, Kokoski R. Phys. Rev. D, 1981, 43: 1679[4] Isgur N, Wise M B. Phys. Lett. B, 1989, 232: 113; 1990, 237: 527[5] Voloshin M B, Shifman M A. Sov. J. Nucl. Phys. 1987, 45: 292; 1988, 47: 511[6] Aliev T M, Azizi K, Ozpineci A. Eur. Phys. J. C, 2007, 51: 593[7] ZHAO Shu-Min, LIU Xiang, LI Shuang-Jiu. Eur. Phys. J. C, 2007, 51: 601[8] Segovia J et al. Phys. Rev. D, 84: 094029[9] HUANG Ming-Qiu. Phys. Rev. D, 2004, 69: 114015[10] Scora D, Isgur N. Phys. Rev. D, 1995, 52: 2783[11] Salpeter E E, Bethe H A. Phys. Rev., 1951, 84: 1232[12] Salpeter E E. Phys. Rev. 1952, 87: 328[13] Mandelstam S. Proc. R. Soc. London, 1955, 233: 248[14] Isgur N, Scora D, Grinstein B, Wise M B. Phys. Rev. D, 1989, 39: 799[15] CHANG Chao-Hsi, CHEN Jiao-Kai, WANG Guo-Li. Commun. Theor. Phys., 2006, 46: 467[16] Kim C S, WANG Guo-Li. Phys. Lett. B, 2004, 584: 285[17] WANG Guo-Li. Phys. Lett. B, 2007, 650: 15[18] Ebert D, Faustov R N, Galkin V O. Eur. Phys. J. C, 2010, 66: 197[19] Particle Data Group. J. Phys. G, 2010, 37: 1[20] Ebert D, Faustov R N, Galkin V O. Phys. Rev. D, 2000, 61: 014016[21] Mayorga H B, Briceno A Moreno, Munoz J H. J. Phys. G, 2003, 29: 2059[22] Abazov V M et al. (D0 collaboration). Phys. Rev. Lett., 2009, 102: 051801[23] Abe K et al. (Belle collaboration). Phys. Rev. D, 2004, 69: 112002[24] Liventsev D et al. (Belle collaboration). Phys. Rev. D, 2008, 77: 091503[25] Aubert B et al. (BABAR collaboration). Phys. Rev. Lett., 2008, 101: 261802[26] Aubert B et al. (BABAR collaboration). Phys. Rev. Lett., 2009, 103: 051803

[1]	Kan Chen , Hong-Wei Ke , Xiang Liu , Takayuki Matsuki . Estimating the production rates of D -wave charmed mesons via the semileptonic decays of bottom mesons. Chinese Physics C, 2019, 43(2): 023106. doi: 10.1088/1674-1137/43/2/023106
[2]	Zhi-Hui Wang , Yi Zhang , Tian-Hong Wang , Yue Jiang , Qiang Li , Guo-Li Wang . Strong decays of P-wave mixing heavy-light 1⁺ states. Chinese Physics C, 2018, 42(12): 123101. doi: 10.1088/1674-1137/42/12/123101
[3]	Yueling Yang , Yupei Guo , Junfeng Sun , Na Wang , Qin Chang , Gongru Lu . B_u → ψM decays and S-D wave mixing effects. Chinese Physics C, 2018, 42(11): 113102. doi: 10.1088/1674-1137/42/11/113102
[4]	WANG Dong , BAN Yong , LI Gang . ρ-ω mixing in J/ø→VP decays. Chinese Physics C, 2014, 38(6): 063101. doi: 10.1088/1674-1137/38/6/063101
[5]	Farida Tahir , Azeem Mir , Shakeel Mahmood . Study of pure and semileptonic decays of D_s meson within R-parity violating supersymmetric model. Chinese Physics C, 2014, 38(12): 123101. doi: 10.1088/1674-1137/38/12/123101
[6]	WANG Wen-Fei , FAN Ying-Ying , XIAO Zhen-Jun . Semileptonic decays B_c→(η_c,J/Ψ)lv in the perturbative QCD approach. Chinese Physics C, 2013, 37(9): 093102. doi: 10.1088/1674-1137/37/9/093102
[7]	Wei Chiang , LI Run-Hui , . The study of B→K^(*)l⁺l^- decays in family non-universal Z' models. Chinese Physics C, 2012, 36(1): 14-24. doi: 10.1088/1674-1137/36/1/003
[8]	LI Bao-Fei , CHEN Xiao-Lin , DENG Wei-Zhen . Study on the mechanism of open-flavor strong decays. Chinese Physics C, 2012, 36(2): 106-116. doi: 10.1088/1674-1137/36/2/002
[9]	HOU Zhao-Yu , GUO Peng , WU Wen-Wang . Uncertainty study of D_S^-(D^-)→γlν (l=e,μ) decays determined by wave function. Chinese Physics C, 2011, 35(7): 603-607. doi: 10.1088/1674-1137/35/7/001
[10]	LI Jing-Wu , XUE Dan-Qing , XU Qing-Qiang , WU Xiang-Yao . D⁺ → η^(')l⁺ν_l semileptonic decays in light-cone sum rules. Chinese Physics C, 2011, 35(6): 519-524. doi: 10.1088/1674-1137/35/6/001
[11]	ZHANG Zhi-Qing , XIAO Zhen-Jun . Study of scalar meson a₀(980) from B→a₀(980)π decays. Chinese Physics C, 2010, 34(5): 528-534. doi: 10.1088/1674-1137/34/5/002
[12]	ZHAO Li , ZHANG Zi-Ping (for the Belle collaboration) . D⁰-D⁰ mixing and other charm decays at Belle. Chinese Physics C, 2010, 34(6): 774-779. doi: 10.1088/1674-1137/34/6/027
[13]	J.M. Flynn , E. Hernandez . Semileptonic bc to cc and bb to bc baryon decays and heavy quark spin symmetry. Chinese Physics C, 2010, 34(9): 1364-1367. doi: 10.1088/1674-1137/34/9/043
[14]	LI Hai-Bo , YANG Mao-Zhi . Rare semileptonic decays of heavy mesons in the heavy quark limit. Chinese Physics C, 2010, 34(2): 262-266. doi: 10.1088/1674-1137/34/2/021
[15]	WU Jia-Jun , ZHAO Qiang , ZOU Bing-Song . Study a₀(980)}-f₀(980) mixing in charmonium decays. Chinese Physics C, 2010, 34(6): 848-854. doi: 10.1088/1674-1137/34/6/038
[16]	E. Hernandez , J. Nieves . Role of hyperfine mixing in b→c semileptonic decays of doubly-heavy baryons. Chinese Physics C, 2010, 34(9): 1488-1490. doi: 10.1088/1674-1137/34/9/080
[17]	LI Ying , HUA Juan . Study of pure annihilation decays B_d,s→D⁰D⁰. Chinese Physics C, 2008, 32(10): 781-787. doi: 10.1088/1674-1137/32/10/003
[18]	HUANG Bin , ZHENG Yang-Heng , LI Wei-Dong . A simulation study on the measurement of D⁰-D⁰ mixing parameter y at BESⅢ. Chinese Physics C, 2008, 32(12): 945-951. doi: 10.1088/1674-1137/32/12/002
[19]	ZHAO Shu-Min , ZHANG Yin-Jie , YAN Yu-Li , LIU Li-Quan , WU Li-Ping . Study of semileptonic decays B_s→D_s1(2536)lν and B_s→D_s2(2573) lν in the CQM model. Chinese Physics C, 2008, 32(8): 603-607. doi: 10.1088/1674-1137/32/8/002
[20]	BES Collaboration . Experiment Study of f₀(975) in J/ψ Decays. Chinese Physics C, 1995, 19(S2): 125-131.

Access

Get Citation

JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101. doi: 10.1088/1674-1137/37/1/013101

JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101. doi: 10.1088/1674-1137/37/1/013101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-03-02
Revised: 2012-04-05

Article Metric

Article Views(2074)
PDF Downloads(289)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Study of singlet-triplet mixing via semileptonic decays

Received Date: 2012-03-02

Accepted Date: 2012-04-05

Available Online: 2013-01-05

Abstract: The singlet-triplet mixing of ¹P₁-³P₁ is studied via calculating the branching ratios of semileptonic decay B_s→D_s1lν and B→D₁lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q² region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.

HTML

Reference (1)

Study of singlet-triplet mixing via semileptonic decays

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Study of singlet-triplet mixing via semileptonic decays

HTML

目录