来自广义Bialas-Bzdak模型的质子弹性散射从sqrt{s}=23.5 GeV到7 TeV
Elastic scattering of protons from sqrt{s}=23.5 GeV to 7 TeV from a generalized Bialas-Bzdak model
摘要：
本文将质子-质子弹性散射的Bialas-Bzdak模型推广到部分子-部分子能级前向散射振幅实部不为零的情形。这样的推广使得模型能够很好地描述ISR能量下弹性散射微分截面的倾斜区域，并且显著地提高了模型描述sqrt{s} = 7 TeV LHC能量下最近的TOTEM数据的能力。在这个框架内，总截面的增加，以及下降的位置随着碰撞能量的增加，是与夸克-双夸克距离的增加和增加的“脆性”的质子随着能量的增加。此外，我们提出并测试两个新的唯象关系的有效性：其中之一涉及到一个有效的，模型无关的质子半径的总p+p截面，而另一个涉及的微分弹性截面的倾角的位置的总截面的测量值。
英文摘要：
The Bialas-Bzdak model of elastic proton-proton scattering is generalized to the case when the real part of the parton-parton level forward scattering amplitude is non-vanishing. Such a generalization enables the model to describe well the dip region of the differential cross-section of elastic scattering at the ISR energies, and improves significantly the ability of the model to describe also the recent TOTEM data at sqrt{s} = 7 TeV LHC energy. Within this framework, both the increase of the total cross-section, as well as the decrease of the location of the dip with increasing colliding energies, is related to the increase of the quark-diquark distance and to the increase of the "fragility" of the protons with increasing energies. In addition, we present and test the validity of two new phenomenological relations: one of them relates the total p+p cross-section to an effective, model-independent proton radius, while the other relates the position of the dip in the differential elastic cross-section to the measured value of the total cross-section.
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