Fast computation of observed cross section for ψ'→PP decays

WANG Bo-Qun; MO Xiao-Hu; WANG Ping; BAN Yong

doi:10.1088/1674-1137/35/5/001

Chinese Physics C> 2011, Vol. 35> Issue(5) : 411-418 DOI: 10.1088/1674-1137/35/5/001

Fast computation of observed cross section for ψ'→PP decays

Abstract
HTML
Reference
Related

PDF

Abstract：
It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ' decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative (ISR) correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation.

References

[1]

Jousset J et al. (DM / collaboration). Phys. Rev. D, 1990, 41: 13892 Coffman D et al. (Mark 0 collaboration). Phys. Rev. D, 1988, 38: 26953 Suzuki M. Phys. Rev. D, 1999, 60: 0515014 López G, Lucio M J L, Pestieau J. hep-ph/99023005 Kpke L, Wermes N. Phys. Rep., 1989, 174: 676 Baldini R et al. Phys. Lett. B, 1998, 444: 1117 Suzuki M. Phys. Rev. D, 2001, 63: 0540218 Gérard J M, Weyers J. Phys. Lett. B, 1999, 462: 3249 YUAN C Z, WANG P, MO X H. Phys. Lett. B, 2003, 567: 7310 WANG P, YUAN C Z, MO X H. Phys. Rev. D, 2004, 69: 05750211 BAI J Z et al. (BES collaboration). Phys. Rev. Lett., 2004, 91: 05200112 WANG P, YUAN C Z, MO X H. Phys. Lett. B, 2003, 574: 4113 WANG P, MO X H, YUAN C Z. Int. J. Mod. Phys. A, 2006, 21: 516314 Ablikim M et al. (BES/ collaboration). Phys. Rev. D, 2004, 70: 07710115 WANG Y K, MO X H, YUAN C Z et al. Nucl. Instrum. Methods A, 2007, 583: 47916 WANG Y K, ZHANG J Y, MO X H, YUAN C Z et al. China Physic C, 2009, 33: 50117 Haber H E and Perrier J. Phys. Rev. D, 1985, 32: 296118 Chernyak V L and Zhitnitsky A R. Nucl. Phys. B, 1982, 201: 49219 WANG P, MO X H, YUAN C Z. Phys. Lett. B, 2003, 557: 19220 Kuraev E A, Fadin V S. Sov. J. Nucl. Phys., 1985, 41: 466-47221 Altarelli G and Martinelli G. CERN, 1986, 86-02: 4722 Berends F A, Burgers G, Neerven W L. Nucl. Phys. B, 1988, 297: 429; Berends F A, Burgers G, Neerven W L. Nucl. Phys. B, 1988, 304: 92123 Tsai Y S. SLAC-PUB-3129, 198324 Alexander P et al. Nucl. Phys. B, 1989, 320: 4525 Lee S Y. Accelerator Physics (2nd Edition). Shanghai: Fu- Dan University Press, 200626 Wille K. The Physics of Particle Accelerators. New York: Oxford University Press, 200027 CHEN F Z, WANG P, WU J M, ZHU Y S. HEP NP, 1990, 14: 585-595 (in Chinese)28 Cahn R N. Phys. Rev. D, 1987, 36: 266629 Amsler C et al. Phys. Lett. B, 2008, 667: 130 MO X H, ZHU Y S. HEP NP, 2001, 25: 1133-1139 (in Chinese)31 MO X H. (2S) Scan and Some Other Studies (Post-doctor report). Beijing, 2003

[1]	Zhen-Xing Chen , Ying Yang , Man-Qi Ruan , Da-Yong Wang , Gang Li , Shan Jin , Yong Ban . Cross section and Higgs mass measurement with Higgsstrahlung at the CEPC. Chinese Physics C, 2017, 41(2): 023003. doi: 10.1088/1674-1137/41/2/023003
[2]	G. R. Boroun . Top reduced cross section behavior at the LHeC kinematic range. Chinese Physics C, 2017, 41(1): 013104. doi: 10.1088/1674-1137/41/1/013104
[3]	ZHANG Dong-Hong , XIE Wen-Jie , SU Jun , ZHANG Feng-Shou . Production cross section of neutron-rich calcium isotopes in heavy ion collisions. Chinese Physics C, 2015, 39(4): 044103. doi: 10.1088/1674-1137/39/4/044103
[4]	ZHANG Ao , GUO Wen-Jun , HUANG Jiang-Wei , YANG Lin-Meng . Isospin effect of the in-medium nucleon-nucleon cross section in excited nuclear reactions. Chinese Physics C, 2014, 38(5): 054103. doi: 10.1088/1674-1137/38/5/054103
[5]	YANG Lin-Meng , GUO Wen-Jun , ZHANG Fan , NI Sheng . Study of the total reaction cross section via QMD. Chinese Physics C, 2013, 37(10): 104101. doi: 10.1088/1674-1137/37/10/104101
[6]	DUAN Chun-Gui , LIU Na , MIAO Wen-Dan . The dependence of J/ψ-nucleon inelastic cross section on the Feynman variable. Chinese Physics C, 2011, 35(9): 804-807. doi: 10.1088/1674-1137/35/9/002
[7]	ZHANG Jun-Jie , HU Bi-Tao . Cross section of reaction ¹⁸¹Ta(p,nγ)¹⁸¹W and the influence of the spin cut-off parameter on the cross section. Chinese Physics C, 2011, 35(12): 1100-1104. doi: 10.1088/1674-1137/35/12/004
[8]	GUO Shuang , HU Zhen , QIAN Si-Jin , YANG Zong-Chang , LIU Lie . Feasibility study on cross-section measurement of Υ(1S)→μ⁺μ^－ by using early CMS data. Chinese Physics C, 2010, 34(8): 1037-1044. doi: 10.1088/1674-1137/34/8/001
[9]	LIU Xiao-Hai , ZHANG Yuan-Jiang , ZHAO Qiang . Vector meson rescattering effect in understanding the threshold enhancement observed in J/ψ→γpp. Chinese Physics C, 2010, 34(9): 1402-1404. doi: 10.1088/1674-1137/34/9/054
[10]	LI Hong-Nian , YING Li-Jian , NI Jing-Fu , LI Gang , WANG Peng , KURASH Ibrahim , QIAN Hai-Jie , . Fine structure of K₃C₆₀ photoionization cross-section oscillations. Chinese Physics C, 2009, 33(11): 991-995. doi: 10.1088/1674-1137/33/11/012
[11]	YANG Zong-Chang , QIAN Si-Jin . Feasibility study of a J/ψ cross section measurement with early CMS data. Chinese Physics C, 2009, 33(8): 609-616. doi: 10.1088/1674-1137/33/8/002
[12]	LIU Xiang . Strong decays of newly observed heavy flavor hadrons. Chinese Physics C, 2009, 33(6): 473-480. doi: 10.1088/1674-1137/33/6/014
[13]	ZHOU Feng-Qun , YANG Xing-Qiang , WANG Wei-Feng , LI Yong , ZHANG Fang , TUO Fei , KONG Xiang-Zhong . A formula used to subtract the effect of gamma-ray of the others to that ofmeasured reaction in measurement of cross section of nuclear reaction andits application. Chinese Physics C, 2008, 32(11): 873-876. doi: 10.1088/1674-1137/32/11/005
[14]	YANG Hong-Wei , YE Wei . Spin distribution of evaporation residue cross section within a stochastic approach. Chinese Physics C, 2008, 32(3): 182-185. doi: 10.1088/1674-1137/32/3/004
[15]	YE Wei , WU Feng . Influence of angular momentum on evaporation residue cross section as a probe of nuclear dissipation. Chinese Physics C, 2008, 32(6): 433-436. doi: 10.1088/1674-1137/32/6/004
[16]	ZHONG Qi-Ping , ZHOU Zu-Ying , TANG Hong-Qing , CHEN Xiao-Liang , HE Guo-Zhu , ZHANG Qi-Wei , GUO Wei-Xin , YUAN Ji-Long , MA Xiao-Yun , WANG Qiang , RUAN Xi-Chao , LI Zhi-Hong . New detector system to measure (n,γ) reaction cross section precisely in China. Chinese Physics C, 2008, 32(S2): 102-105.
[17]	LIU Xiang , ZENG Xiao-Qiang , DING Yi-Bing , LI Xue-Qian , SHENG Hong , SHEN Peng-Nian . The Linearσ-model and the Observed Enhancement in the Mass Spectrum of pp in J/ψ→γpp. Chinese Physics C, 2006, 30(1): 1-12.
[18]	Mao Guangjun , Zhao Enguang , Li Zhuxia , Zhuo Yizhong . In-medium △ Absorption Cross Section. Chinese Physics C, 1996, 20(S4): 387-390.
[19]	Yang Yi , Yu Jianzhong , Zou Yongqing , Su Junchen . Gluon Exchange Potential and Cross-Section for pp→ΛΛ Proce. Chinese Physics C, 1994, 18(1): 85-90.
[20]	Wang Yongchang , Yuan Junqian , Ren Zhongliang , Wang Huamin , Yang Jingkang , Shui Yongqing , Xiang Sicang . Cross Section Measurement of the ⁶³Cu(n,α)⁶⁰Co Reaction. Chinese Physics C, 1991, 15(S1): 73-77.

Access

Get Citation

WANG Bo-Qun, MO Xiao-Hu, WANG Ping and BAN Yong. Fast computation of observed cross section for ψ'→PP decays[J]. Chinese Physics C, 2011, 35(5): 411-418. doi: 10.1088/1674-1137/35/5/001

WANG Bo-Qun, MO Xiao-Hu, WANG Ping and BAN Yong. Fast computation of observed cross section for ψ'→PP decays[J]. Chinese Physics C, 2011, 35(5): 411-418. doi: 10.1088/1674-1137/35/5/001 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-08-12
Revised: 1900-01-01

Article Metric

Article Views(2645)
PDF Downloads(488)
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

Fast computation of observed cross section for ψ'→PP decays

Received Date: 2010-08-12

Accepted Date: 1900-01-01

Available Online: 2011-05-05

Abstract: It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ' decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative (ISR) correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation.

HTML

Reference (1)

Fast computation of observed cross section for ψ'→PP decays

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Fast computation of observed cross section for ψ'→PP decays

HTML

目录