Analysis of the coupling constants ga0ηπ0 and ga0η′π0 with light-cone QCD sum rules

WANG Zhi-Gang

doi:10.1088/1674-1137/34/1/002

Chinese Physics C> 2010, Vol. 34> Issue(1) : 7-15 DOI: 10.1088/1674-1137/34/1/002

Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules

WANG Zhi-Gang ^,

Department of Physics, North China Electric Power University, Baoding 071003, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this article, we take the point of view that the light scalar meson a₀(980) is a conventional qq state, and calculate the coupling constants g_a0_ηπ0 and g_a0_η′π0 with the light-cone QCD sum rules. The central value of the coupling constant g_a0_ηπ0 is consistent with that extracted from the radiative decay φ(1020)→a₀(980)γ→ηπ⁰γ. The central value and lower bound of the decay width Γ_a0→ηπ0=127⁺⁸⁴_－48 MeV are compatible with the experimental data of the total decay width Γ_a0(980)=(50-100) MeV from the Particle Data Group with a very model dependent estimation (the decay width can be much larger), while the upper bound is too large. We give a possible explanation for the discrepancy between the theoretical calculation and experimental data.

References

[1]

. Godfrey S, Napolitano J. Rev. Mod. Phys., 1999, 71: 1411-14622. Close F E, Tornqvist N A. J. Phys. G, 2002, 28: R249{R2673. Ja e R L. Phys. Rept., 2005, 409: 1-454. Amsler C, Tornqvist N A. Phys. Rept., 2004, 389: 61-1175. Ja e R L. Phys. Rev. D, 1977, 15: 267-280, 281-2896. Ja e R L. Phys. Rev. D, 1978, 17: 1444-14467. Weinstein J D, Isgur N. Phys. Rev. D, 1990, 41: 2236-22578. Weinstein J D, Isgur N, Phys. Rev. D, 1983, 27: 588-5999. Tornqvist N A. Z. Phys. C, 1995, 68: 647-66010. Boglione M, Pennington M R. Phys. Rev. Lett., 1997, 79:1998-200111. Boglione M, Pennington M R. Phys. Rev. D, 2002, 65:11401012. Bramon A, Colangelo G, Franziniet P J et al. Phys. Lett.B, 1992, 287: 263-26613. Franzini P J, Kim W, Lee-Franzini J. Phys. Lett. B, 1992,287: 259-26214. Colangelo G, Franzini P J. Phys. Lett. B, 1992, 289: 189-19315. Achasov N N, Gubin V V, Solodov E P. Phys. Rev. D, 1997,55: 2672-268216. Bramon A, Grau A, Pancheri G. Phys. Lett. B, 1992, 289:97-10217. Bramon A, Escribano R, Lucio M J L et al. Eur. Phys. J.C, 2002, 26: 253-26018. Marco E, Hirenzaki S, Oset E et al. Phys. Lett. B, 1999,470: 20-2619. WANG Z G, WAN S L. Phys. Rev. D, 2006, 73: 09402020. WANG Z G. J. Phys. G, 2007, 34: 753-76521. WANG Z G, WAN S L. Phys. Rev. D, 2006, 74: 01401722. Colangelo P, Fazio F D. Phys. Lett. B, 2003, 559: 49-5923. WANG Z G, YANG W M, WAN S L. Eur. Phys. J. C,2004, 37: 223-23124. WANG Z G. Phys. Rev. D, 2008, 77: 05402425. Gokalp A, Sarac Y, Yilmaz O. Mod. Phys. Lett. A, 2004,19: 3011-301726. Gokalp A, Sarac Y, Yilmaz O. Phys. Lett. B, 2005, 609:291-29727. Balitsky I I, Braun V M, Kolesnichenko A V. Nucl. Phys.B, 1989, 312: 509-55028. Chernyak V L, Zhitnitsky I R. Nucl. Phys. B, 1990, 345:137-17229. Chernyak V L, Zhitnitsky A R. Phys. Rept., 1984, 112:173-31830. Braun V M, Filyanov I E. Z. Phys. C, 1989, 44: 157-16631. Braun V M, Filyanov I E. Z. Phys. C, 1990, 48: 239-24832. Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys.B, 1979, 147: 385-44733. Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys.B, 1979, 147: 448-51834. Reinders L J, Rubinstein H, Yazaki S. Phys. Rept., 1985,127: 1-9735. Belyaev V M, Braun V M, Khodjamirian A et al. Phys.Rev. D, 1995, 51: 6177-619536. Ball P. JHEP, 1999, 9901: 01037. Ball P, Zwicky R. Phys. Lett. B, 2006, 633: 289-29738. Ball P, Zwicky R. JHEP, 2006, 0602: 03439. Ball P, Braun V M, Lenz A. JHEP, 2006, 0605: 00440. Burakovsky L, Goldman J T. Phys. Lett. B, 1998, 427:361-37041. YAO W M et al. J. Phys. G, 2006, 33: 1-123242. Schmedding A, Yakovlev O I. Phys. Rev. D, 2000, 62:11600243. Bakulev A P, Mikhailov S V, Stefanis N G. Phys. Lett. B,2001, 508: 279-28944. Bakulev A P, Mikhailov S V, Stefanis N G. Phys. Rev. D,2003, 67: 07401245. Bakulev A P, Mikhailov S V, Stefanis N G. Phys. Lett. B,2004, 578: 91-9846. Bakulev A P, Pimikov A V. Acta. Phys. Polon. B, 2006,37: 3627-363447. Bakulev A P. hep-ph/061113948. Achasov N N, Ivanchenko V N. Nucl. Phys. B, 1989, 315:465-47649. Achasov N N, Gubin V V. Phys. Rev. D, 1997, 56: 4084-409750. Achasov M N et al. Phys. Lett. B, 2000, 485: 349-35651. Achasov M N et al. Phys. Lett. B, 2000, 479: 53-5852. Aloisio A et al. Phys. Lett. B, 2002, 536: 209-21653. Aloisio A et al. Phys. Lett. B, 2002, 537: 21-2654. Ambrosino F et al. arXiv:0707.460955. Brito T V, Navarra F S, Nielsen M et al. Phys. Lett. B,2005, 608: 69-76

[1]	Jian-Rong Zhang , Jing-Lan Zou , Jin-Yun Wu . 0⁺ tetraquark states from improved QCD sum rules: delving into X(5568). Chinese Physics C, 2018, 42(4): 043101. doi: 10.1088/1674-1137/42/4/043101
[2]	Long-Ke Li , Ye-Qi Chen , Wen-Biao Yan , Zi-Ping Zhang . D⁰-D⁰ mixing sensitivity estimation at Belle Ⅱ in wrong-sign decays D⁰→K⁺π^-π⁰ via time-dependent amplitude analysis. Chinese Physics C, 2017, 41(2): 023001. doi: 10.1088/1674-1137/41/2/023001
[3]	Zhi-Gang Wang . Analysis of the Y (4220) and Y (4390) as molecular states with QCD sum rules. Chinese Physics C, 2017, 41(8): 083103. doi: 10.1088/1674-1137/41/8/083103
[4]	Guo-Liang Yu , Zhi-Gang Wang , Zhen-Yu Li . Analysis of the strong coupling form factors of ∑_bNB and∑_cND in QCD sum rules. Chinese Physics C, 2017, 41(8): 083104. doi: 10.1088/1674-1137/41/8/083104
[5]	M. Imran Jamil , Bilal Masud , Faisal Akram , S. M. Sohail Gilani . D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential. Chinese Physics C, 2017, 41(1): 013103. doi: 10.1088/1674-1137/41/1/013103
[6]	M. Ablikim , M. N. Achasov , X. C. Ai , O. Albayrak , M. Albecht , D. J. Ambrose , A. Amoroso . Measurement of the absolute branching fraction of D+→K0e+ve via K0→π0π0. Chinese Physics C, 2016, 40(11): 113001. doi: 10.1088/1674-1137/40/11/113001
[7]	DU Meng-Lin , CHEN Wei , CHEN Xiao-Lin , ZHU Shi-Lin . Possible J^PC = 0^+- exotic states. Chinese Physics C, 2013, 37(3): 033104. doi: 10.1088/1674-1137/37/3/033104
[8]	BIAN Li-Gong , WEI Zheng-Tao . Constraints of unparticle physics parameters from K⁰-K⁰ mixing. Chinese Physics C, 2013, 37(12): 123102. doi: 10.1088/1674-1137/37/12/123102
[9]	SUN Yan-Jun , WANG Zhi-Gang , HUANG Tao . B → A transitions in the light-cone QCD sum rules with the chiral current. Chinese Physics C, 2012, 36(11): 1046-1054. doi: 10.1088/1674-1137/36/11/003
[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]	KANG Xian-Wei , LI Hai-Bo , LU Gong-Ru , ZOU Bing-Song . Partial wave analysis of ψ′→γχ_c0→γpK^－Λ used for searching for baryon resonance. Chinese Physics C, 2010, 34(8): 1061-1068. doi: 10.1088/1674-1137/34/8/005
[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]	LI Hai-Bo , YANG Mao-Zhi . About detecting CP-violating processes in J/ψ→K⁰K⁰ decay. Chinese Physics C, 2009, 33(2): 85-88. doi: 10.1088/1674-1137/33/2/001
[14]	LU GoNG-Ru , WANG Ru-Min , YANG Ya-Dong . Analysis of the Annihilation Decays B0s,d→J/ψ γ with QCD Factorization. Chinese Physics C, 2005, 29(3): 232-236.
[15]	ZHANG Zhu-Feng , JIN Hong-Ying . Effect of Instanton on the QCD Sum Rule of 0⁺⁺ Glueball. Chinese Physics C, 2004, 28(3): 245-249.
[16]	LI Ying , LU Cai-Dian . Calculation of Rare Decay B⁺→D⁺_sK^*0 in Perturbative QCD Approach. Chinese Physics C, 2003, 27(12): 1062-1066.
[17]	BES Callaboration . Decay of the J/ψ to Σ⁰Σ⁰ Final State. Chinese Physics C, 2002, 26(2): 93-99.
[18]	BES Collaboration . Study of J/ψ、γπ⁰π⁰ at BES. Chinese Physics C, 1999, 23(8): 745-752.
[19]	Lu Wentao , liu Jueping . QCD Sum Rules for the 0⁺⁺ Three-Gluon Scalar Glueball. Chinese Physics C, 1996, 20(8): 691-697.
[20]	Lu Wentao , Liu Jueping . Quantum Chromodynamics Sum Rules for the 0⁺⁺ Three-Gluon Scalar Glueball. Chinese Physics C, 1996, 20(S3): 261-268.

Access

Get Citation

WANG Zhi-Gang. Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules[J]. Chinese Physics C, 2010, 34(1): 7-15. doi: 10.1088/1674-1137/34/1/002

WANG Zhi-Gang. Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules[J]. Chinese Physics C, 2010, 34(1): 7-15. doi: 10.1088/1674-1137/34/1/002 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-01-19
Revised: 2009-02-24

Article Metric

Article Views(2761)
PDF Downloads(587)
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

Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules

Corresponding author: WANG Zhi-Gang,

Department of Physics, North China Electric Power University, Baoding 071003, China

Received Date: 2009-01-19

Accepted Date: 2009-02-24

Available Online: 2010-01-05

Abstract:

In this article, we take the point of view that the light scalar meson a₀(980) is a conventional qq state, and calculate the coupling constants g_a0_ηπ0 and g_a0_η′π0 with the light-cone QCD sum rules. The central value of the coupling constant g_a0_ηπ0 is consistent with that extracted from the radiative decay φ(1020)→a₀(980)γ→ηπ⁰γ. The central value and lower bound of the decay width Γ_a0→ηπ0=127⁺⁸⁴_－48 MeV are compatible with the experimental data of the total decay width Γ_a0(980)=(50-100) MeV from the Particle Data Group with a very model dependent estimation (the decay width can be much larger), while the upper bound is too large. We give a possible explanation for the discrepancy between the theoretical calculation and experimental data.

HTML

Reference (1)

Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article