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

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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.

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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

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Received: 2010-08-12
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

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.

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

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