$\rm{p\bar p}$和$\rm pp$散射中轮廓函数的能量依赖性
Energy Dependence of Profile Functions in $\rm{p\bar p}$ and $\rm pp$ Scattering
摘要:
我们构造的分析形式的碰撞参量$b$ -空间的实部和虚部振幅描述弹性PP和$\rm p \bar p $散射。的振幅转换分析的动量转移$t$ -空间的幅度,斜率,曲率,零,符号,服从现象学和理论的预期,并描述了高精度的所有细节的数据,在全t范围内,能量从20 GeV到7 TeV。前向与大$|t|$行为的连接允许精确确定总截面、斜率和其他散射参数。我们研究了$b$ -空间轮廓函数的性质和能量依赖性,观察到实部在$dσ/dt$的结构中具有根本性的影响,在中间和大的$|t|$值。本文讨论了CERN SPS和Fermilab TEVATRON的540/546 GeV和1.8/1.96 TeV数据以及LHC的TOTEM测量的7 TeV数据,并探讨了14 TeV及更高能量的外推。
英文摘要:
We construct analytical forms in the impact parameter $b$-space for the real and imaginary amplitudes describing elastic pp and $\rm p \bar p $ scattering. The amplitudes converted analytically to the momentum transfer $t$-space have magnitudes, slopes, curvatures, zeros, signs, obeying phenomenological and theoretical expectations, and describe with high precision all details of the data, in the full-t range, and for energies from 20 GeV to 7 TeV. The connection of forward with large-$|t|$ behavior allows precise determination of total cross-sections, slopes and other scattering parameters. We study the properties and the energy dependence of the $b$-space profile functions, observing that the real part has fundamental influence in the structure of $dσ/dt$ at intermediate and large $|t|$ values. We discuss the 540/546 GeV and 1.8/1.96 TeV data from CERN SPS and Fermilab TEVATRON and the 7 TeV results from TOTEM measurements at LHC, and investigate the extrapolation to 14 TeV and higher energies.
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