Determination of Decay Width Error and Luminosity in ψ(2S) Scan

MO Xiao-Hu; ZHU Yong-Sheng

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2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(12) : 1133-1139

Determination of Decay Width Error and Luminosity in ψ(2S) Scan

MO Xiao-Hu ^, ,
ZHU Yong-Sheng

Institute of High Energy Physics,CAS,Beijing 100039,China

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Abstract：
The observed cross sections of processes e⁺e^－→e⁺e^－,μ⁺μ^－,π⁺π^－J/ψ and hadrons at 24 energy points in the vicinity of ψ(2S) resonance have been measured by BES(Beijing Spectrometer). The resonance cross sections for above four final states take the Breit-Wigner forms. By combining the cross sections of resonance part,continuum(QED or QCD) part and their interferences together with radiative corrections,and then convoluted with the energy spread of BEPC(Beijing Electron and Positron Collider),the χ² fit of these 4 observed cross sections with the assumption of e-μ-τ universality gives the decay widths and branching ratios of ψ(2S):Γ_t,Γ_μ,Γ_h,Γ_π+π－J/ψ,B_μ,B_h,B_π+π-J/ψ. This article mainly describes the methods for calculating the intregral luminosity and for determining the fitting errors of ψ(2S) decay widths and branching ratios in this scan experiment. The intregral luminosity for each energy point is calculated by using the data of e₊e_－ final state and the iteration method with assumption of lepton universality,that is B_e=B_μ . The errors of decay widths and branching ratios are determined by Monte Carlo sampling method.

References

[1]

. BES Collaboration.HEP NP ,1992,16(9):769—787(in Chinese);(BES合作组.高能物理与核物理,1992,16(9):769—787)BAI J Z et al.Nucl.Instr.Meth.1994,A344:319-334;GUO Y N .Nucl.Instr.Meth.,1996,A379:349—353;BAI J Z et al.Nucl.Instr.Meth.,2001,A458:627—6372. MO XiaoHu,ZHU YongSheng,WANG Ping.Measurement of ψ′Resonance Parameter.BES Memo,2001;Harris F A ,MO X H . B (ψ(2S)→π+π–J/ψ).BES Memo,20013. BES Collaboration.HEP NP ,1995,19:673—685(in Chinese);BAI J Z et al.Phys.Lett.,1995,B355:374—380.(BES合作组.高能物理与核物理,1995,19:673—685) 4. MINUIT Reference Manual,Version94.1(March1994)5. Particle Data Group.Eur.Phys.J.2000,C15:1;1998,C1:1;Phys.Rev.,1996,D54:1 6. ZHU Y S .Proposal for ψ(2S) Scan Experiment on BES .In:BES Collaborationed.BES 98(The Internal Collected Works),1998:303—308

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[3]	M. Ablikim et al (BESⅡ collaboration) . First evidence of ψ(2S)→Ω^-Ω⁺. Chinese Physics C, 2012, 36(11): 1040-1045. doi: 10.1088/1674-1137/36/11/002
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[11]	MO Xiao-Hu , ZHU Yong-Sheng . Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment. Chinese Physics C, 2003, 27(6): 474-478.
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[20]	LI Jun-Qing , ZHU Jie-Ding . A CALCULATION OF ISOSPIN DEPENDENT LEVEL WIDTH IN COMPOUND NUCLEUS ³⁰P. Chinese Physics C, 1989, 13(1): 70-74.

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MO Xiao-Hu and ZHU Yong-Sheng. Determination of Decay Width Error and Luminosity in ψ(2S) Scan[J]. Chinese Physics C, 2001, 25(12): 1133-1139.

MO Xiao-Hu and ZHU Yong-Sheng. Determination of Decay Width Error and Luminosity in ψ(2S) Scan[J]. Chinese Physics C, 2001, 25(12): 1133-1139. shu

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Received: 2001-03-29
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Determination of Decay Width Error and Luminosity in ψ(2S) Scan

MO Xiao-Hu ^,
ZHU Yong-Sheng

Corresponding author: MO Xiao-Hu,

Institute of High Energy Physics,CAS,Beijing 100039,China

Received Date: 2001-03-29
Accepted Date: 1900-01-01
Available Online: 2001-12-05

Abstract: The observed cross sections of processes e⁺e^－→e⁺e^－,μ⁺μ^－,π⁺π^－J/ψ and hadrons at 24 energy points in the vicinity of ψ(2S) resonance have been measured by BES(Beijing Spectrometer). The resonance cross sections for above four final states take the Breit-Wigner forms. By combining the cross sections of resonance part,continuum(QED or QCD) part and their interferences together with radiative corrections,and then convoluted with the energy spread of BEPC(Beijing Electron and Positron Collider),the χ² fit of these 4 observed cross sections with the assumption of e-μ-τ universality gives the decay widths and branching ratios of ψ(2S):Γ_t,Γ_μ,Γ_h,Γ_π+π－J/ψ,B_μ,B_h,B_π+π-J/ψ. This article mainly describes the methods for calculating the intregral luminosity and for determining the fitting errors of ψ(2S) decay widths and branching ratios in this scan experiment. The intregral luminosity for each energy point is calculated by using the data of e₊e_－ final state and the iteration method with assumption of lepton universality,that is B_e=B_μ . The errors of decay widths and branching ratios are determined by Monte Carlo sampling method.