D0D0* (D0D0*) system in QCD-improved many body potential

M. Imran Jamil; Bilal Masud; Faisal Akram; S. M. Sohail Gilani

doi:10.1088/1674-1137/41/1/013103

Chinese Physics C> 2017, Vol. 41> Issue(1) : 013103 DOI: 10.1088/1674-1137/41/1/013103

D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential

1.
University of Management and Technology, Lahore, Pakistan
2.
Centre For High Energy Physics, Punjab University, Lahore(54590), Pakistan

Abstract
HTML
Reference
Related

PDF

Abstract：
For a system of current interest (composed of charm, anticharm and a pair of light quarks), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to the D⁰D^0* molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 MeV by introducing another parameter I₀ that changes the strength of the interaction in this one component of X(3872). The revised value of this second parameter can guide future trends in modeling of the full exotic meson X(3872). We also report the changes with I₀ in the S-wave spin averaged cross sections for D⁰D^0*→ωJ/ψ and D⁰D^0*→ρJ/ψ. These cross sections are important regarding the study of QGP (quark gluon plasma).
- meson-meson interaction ,
- resonating group method ,
- quark potential model ,
- X(3872)

References

[1]	J. Weinstein and N. Isgur, Phys. Rev. C, 27:588(1983), J. Weinstein and N. Isgur, Phys. Rev. D, 41:2236(1990)
[2]	T. Barnes and E. S. Swanson, Phys. Rev. D, 46:131(1992)
[3]	Gui-Jun Ding, Wei Huang, Jia-Feng Liu, and Mu-Lin Yan, Phys. Rev. D, 79:034026(2009)
[4]	E. S. Swanson, Phys. Lett. B, 588:189(2004)
[5]	Ying Cui, Xiao-Lin Chen, Wei-Zhen Deng, and Shi-Lin Zhu, HighEnergyPhys. Nucl. Phys., 31:7(2007)
[6]	T. Barnes, N. Black, and E. S. Swanson, Phys. Rev. C, 63:025204(2001)
[7]	Cheuk-Yin Wong, E. S. Swanson, and T. Barnes, Phys. Rev. C, 62:045201(2000)
[8]	Cheuk-Yin Wong, E. S. Swanson, and T. Barnes, Phys. Rev. C, 65:014903(2002); 66:029901(2002)
[9]	P. Bicudo, Nucl. Phys. A, 748:537(2005)
[10]	E. S. Swanson, Phys. Rept. 429, 243(2006)
[11]	W. L. Wang,. F. Huang, Z.Y. Zhang et al, J. Phys. G, 34:1771(2007)
[12]	Emiko Hiyama, Hideo Suganuma, and Masayasu Kamimura, Prog. Theor. Phys. Suppl., 168:101(2007)
[13]	E. Hiyama, M. Kamimura, A. Hosaka et al, Phys. Lett. B, 633:237(2006)
[14]	A. M. Green and P. Pennanen, Phys. Rev. C, 57:3384(1998)
[15]	A. M. Green, J. Koponen, and P. Pennanen, Phys. Rev. D, 61:014014(1999)
[16]	B. Masud, J. Paton, A. M. Green, and G. Q. Liu, Nucl. phys. A, 528:477(1991)
[17]	A. M. Green and P. Pennanen, Phys. Lett. B, 426:243(1998)
[18]	A.M.Green, C.Michael, M. E. Sainio, and Z. Phys. C, 67:291(1995)
[19]	A.M.Green, J. Lukkarinen, P. Pennanen et al, Nucl. Phys. Proc. Suppl., 42:249(1995)
[20]	A.M.Green, J.Lukkarinen, P. Pennanen et al, Phys. Rev. D, 53:261(1996)
[21]	Petrus Pennanen, Phys. Rev. D, 55:3958(1997)
[22]	Cheuk-Yin Wong, Phys. Rev. C, 69:055202(2004)
[23]	Stephen Godfrey, arXiv:0910.3409v2; Stephen Godfrey (Carleton), and Stephen L. Olsen (Hawaii and IHEP Beijing), Ann. Rev. Nucl. Part. Sci., 58:51(2008), arXiv:0801.3867
[24]	F. E. Close, Int.J.Mod.Phys. A, 20:5156(2005) arXiv:hep-ph/0411396; J. Vijande, Int. J. Mod. Phys. A, 20:702(2005), arXiv:hep-ph/0407136
[25]	Shi-Lin Zhu, Int. J. Mod. Phys. E, 17, 283(2008)
[26]	Yubing Dong, Amond Faessler, Thomas Gutsche, and Valery E Lyubovitskij, J. Phys. G, 38:015001(2011)
[27]	P. G. Ortega, J. Segovia, D. R. Enten, and F. Fernendez, Phys. Rev. D, 81:0054023(2010)
[28]	D. V. Bugg, J. Phys. G, 37:055002(2010)
[29]	E. J. Eichten, K. Lane, and C. Quigg, Phys. Rev. D, 73:014014(2006); 73, 079903(2006)
[30]	M. B. Voloshin, Int. J. Mod. Phys. A, 21:1239(2006)
[31]	I. W. Lee, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, Phys. Rev. D, 80:094005(2009)
[32]	Yu. S. Kalashnikova and A. V. Nefediev, Phys. Rev. D, 80:074004(2009)
[33]	E. S. Swanson, Phys. Lett. B, 598:197(2004)
[34]	E. Braaten and Masaoki Kusunoki, Phys. Rev. D, 72:014012(2005)
[35]	E. Braaten, Meng Lu, and Jungil Lee, Phys. Rev. D, 76:054010(2007)
[36]	P. Colangelo, F. De Fazio, and S. Nicotri, Phys. Lett. B, 650:166(2007)
[37]	Masayasu Harada, Yong-Liang Ma, and Prog. Theor. Phys., 126:91(2011)
[38]	Thomas Mehan and Roxanne Springer, Phys. Rev. D, 83:094009(2011)
[39]	Xiang Liu, Bo Zhang, and Shi-Lin Zhu, Phys. Lett. B, 645:185(2007)
[40]	Ce Meng and Kuang-Ta Chao, Phys. Rev. D, 75:114002(2007)
[41]	Eric Braaten, Masaoki Kusunoki, and Shmuel Nussinov, Phys. Rev. Lett., 93:162001(2004)
[42]	Eric Braaten and Masaoki Kusunoki, Phys. Rev. D, 71:074005(2005)
[43]	Eric Braaten, Daekyoung Kang, arXiv:1305.5564[hep-ph] (2013)
[44]	T. Barnes, Eur. Phys. J. A, 18:531(2003)
[45]	M. Imran Jamil, and Bilal Masud, Eur. Phys. J. A, 47:33(2011)
[46]	T. Barnes, E. S. Swanson, and J. Weinstein, Phys. Rev. D, 46:4868(1992)
[47]	T. Barnes and E. S. Swanson, Phys. Rev. C, 49:1166(1994)
[48]	T. Barnes and NuovoCim. A, 107:2491(1994)
[49]	S. M. Sohail Gilani, M. Imran Jamil, B. Masud, and Faisal Akram, work in progress
[50]	B. Masud, Phys. Rev. D, 50:6783(1994)
[51]	W. R. Thomas, Phys. Rev. D, 41:3446(1990)
[52]	T. Barnes, S. Godfrey, and E. S. Swanson, Phys. Rev. D, 72:054026(2005)
[53]	S. Godfrey and N. Isgur, Phys. Rev. D, 32:189(1985)
[54]	Bai-Qing Li and Kuang-Ta Chao, Phys. Rev. D, 79:094004(2009)
[55]	Fumiko Okiharu, Hideo Suganuma, and Toru T. Takahashi, Phys. Rev. D, 72:014505(2005)
[56]	K. Masutani, Nucl. Phys. A, 468:593(1987)
[57]	Makota Oka and Koichi Yazaki, Progress of Theoretical Physics, 66 (2):556(1981)
[58]	J. Burger, R. Muller, K. Tragl, and H. M. Hofmann Nucl. Phys. A, 493:427(1989)
[59]	Makota Oka and Koichi Yazaki, Ch. 6, Quarks and Nuclei, ed. by W. Weise, Singapore World Scientific, 1984
[60]	K. J. Juge, Phys. Rev. Letters, 82:4400(1999)
[61]	L.C. Elliot, Master of Science Thesis Supervised by E. Swanson, North Carolina State Univesity, (1998)
[62]	Nouredine Zettili, Quantum Mechanics, (John Wiley and Sons, Ltd., 2001)
[63]	J. Beringer et al (Particle Data Group), Phys. Rev. D, 86:010001(2012)
[64]	Steven Weinberg, The Quantum Theory of Fields, Vol-1(Cambridge University Press, 2002)
[65]	J. R. Taylor, Scattering Theroy:The Quantum Theory on Nonrelativistic Collisions (John Wiley and Sons, 1972)

[1]	Hai-Peng Li , Jing-Yu Yi , Chu-Wen Xiao , De-Liang Yao , Wei-Hong Liang , Eulogio Oset . Correlation function and the inverse problem in the BD interaction. Chinese Physics C, 2024, 48(5): 053107. doi: 10.1088/1674-1137/ad2dc2
[2]	Ting-Ting Wang , Xiao-Ming Xu . Cross sections for inelastic 2-to-2 meson-meson scattering in hadronic matter. Chinese Physics C, 2019, 43(2): 024102. doi: 10.1088/1674-1137/43/2/024102
[3]	A. Esposito , B. Grinstein , L. Maiani , F. Piccinini , A. Pilloni , A. D. Polosa , V. Riquer . Comment on ‘Note on X(3872) production at hadron collidersand its molecular structure’. Chinese Physics C, 2018, 42(11): 114107. doi: 10.1088/1674-1137/42/11/114107
[4]	Miguel Albaladejo , Feng-Kun Guo , Christoph Hanhart , Ulf-G. Meißner , Juan Nieves , Andreas Nogga , Zhi Yang . Note on X(3872) production at hadron colliders and its molecular structure. Chinese Physics C, 2017, 41(12): 121001. doi: 10.1088/1674-1137/41/12/121001
[5]	Y. K. Hsiao , Chao-Qiang Geng . Branching fractions of B_(c) decays involving J/ψ and X(3872). Chinese Physics C, 2017, 41(1): 013101. doi: 10.1088/1674-1137/41/1/013101
[6]	HAN Lei , WANG Hai-Jun . New method of applying conformal group to quantum fields. Chinese Physics C, 2015, 39(9): 093102. doi: 10.1088/1674-1137/39/9/093102
[7]	LIU Lang . No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group. Chinese Physics C, 2015, 39(5): 054103. doi: 10.1088/1674-1137/39/5/054103
[8]	LUAN Yi-Long , CHEN Xiao-Lin , DENG Wei-Zhen . Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors. Chinese Physics C, 2015, 39(11): 113103. doi: 10.1088/1674-1137/39/11/113103
[9]	DENG Hong-Bo , CHEN Xiao-Lin , DENG Wei-Zhen . Meson decays in an extended Nambu—Jona-Lasinio model with heavy quark flavors. Chinese Physics C, 2014, 38(1): 013103. doi: 10.1088/1674-1137/38/1/013103
[10]	YU Si-Hai , WANG Bao-Kai , CHEN Xiao-Lin , DENG Wei-Zhen . Study of the heavy molecular states in the quark model with meson exchange interaction. Chinese Physics C, 2012, 36(1): 25-30. doi: 10.1088/1674-1137/36/1/004
[11]	LI Ming-Tao , DONG Yu-Bing , ZHANG Zong-Ye . A study of meson-meson potential in the chiral quark model. Chinese Physics C, 2011, 35(7): 622-628. doi: 10.1088/1674-1137/35/7/005
[12]	K. B. Vijaya Kumar , Antony Prakash Monteiro . Light meson spectrum and their leptonic decay widths in the frame work of constituent quark models. Chinese Physics C, 2010, 34(9): 1396-1398. doi: 10.1088/1674-1137/34/9/052
[13]	DAI Lian-Rong . Mixing of scalar meson and baryon-baryon interaction. Chinese Physics C, 2010, 34(9): 1459-1461. doi: 10.1088/1674-1137/34/9/071
[14]	WANG Bao-Kai , DENG Wei-Zhen , CHEN Xiao-Lin . Dynamical study of the possible molecular state X(3872) with the s-channel one gluon exchange interaction. Chinese Physics C, 2010, 34(8): 1052-1056. doi: 10.1088/1674-1137/34/8/003
[15]	HUANG Fei . Resonance properties from a coupled channel meson exchange model. Chinese Physics C, 2009, 33(12): 1273-1278. doi: 10.1088/1674-1137/33/12/037
[16]	WANG Hai-Jun , ZHANG Wei-Ning , Yin Wong , . Meson spectra governed by the Fermi-Breit potential. Chinese Physics C, 2009, 33(3): 170-176. doi: 10.1088/1674-1137/33/3/002
[17]	Zhou Baosen , He Zejun . Effects of Particle Distribution on the Rates of s-Quark and K^--Meson Production. Chinese Physics C, 1991, 15(S4): 385-388.
[18]	Yu Youwen , Shen Pengnian , Zhang Zongye . Equivalent Meson Exchange Potential on Quark Model and N-N Scattering. Chinese Physics C, 1990, 14(S4): 377-380.
[19]	Yu Youwen , Shen Pengnian . The Effective Two-Meson-Exchange Potential Derived From the Quark-Antiquark Pair Creation Model. Chinese Physics C, 1989, 13(S2): 175-180.
[20]	LIU Bo , JIANG Huan-Qing . PSEUDOSCALAR MESON-MESON POTENTIALS IN THE QUARK MODEL. Chinese Physics C, 1988, 12(5): 622-626.

Access

Get Citation

M. Imran Jamil, Bilal Masud, Faisal Akram and S. M. Sohail Gilani. D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential[J]. Chinese Physics C, 2017, 41(1): 013103. doi: 10.1088/1674-1137/41/1/013103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-06-27
Revised: 2016-09-22

Fund

BM and FA acknowledge the support of PU research (D/605/Est.I Sr. 20 Project 2014-15, D/34/Est.1 Sr. 109 Project 2013-14), SG is thankful to the Higher Education Commission (HEC) of Pakistan for its financial support through (17-5-4(Ps3-128) HEC/Sch/2006)

Article Metric

Article Views(1611)
PDF Downloads(48)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential

HTML

目录