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

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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)

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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

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

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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)

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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

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

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