arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1603.06802hep-ph
收藏

$pp$和$\bar{p}p$总截面中的Odderon和Pomeron分形维数

Odderon and Pomeron as Fractal Dimension in $pp$ and $\bar{p}p$ Total Cross Sections

F. S. Borcsik, S. D. Campos

摘要:

在本文中,一个朴素的参数化$pp$和$\bar{p}p$总截面。这种参数化的主要目的是研究总截面中可能存在的分形结构。拟合过程的结果显示了两种不同的分形维数:负(低能量)和正(高能量)。分形维数的负值表示总截面结构的空性,正值表示随着能量的增加而逐渐填充的过程。因此,总截面呈现多重分形行为。在低能量下,odderon交换可能与负分形维数相关,而在高能量下,pomeron可能与正分形维数相关。因此,奇子和坡密子的交换可以被看作是从一个不太明确的内部结构到一个更明确的内部结构的转变,这取决于能量。

英文摘要:

In this paper one presents a naive parametrization to $pp$ and $\bar{p}p$ total cross sections. The main goal of this parametrization is to study the possible fractal structure present in the total cross section. The result of the fitting procedure shows two different fractal dimensions: a negative (low-energies) and a positive (high-energies). The negative fractal dimension represents the emptiness of the total cross section structure and the positive represents the filling up process with the energy increase. Hence, the total cross section presents a multifractal behavior. At low-energies, the odderon exchange may be associated with the negative fractal dimension and at high-energies, the pomeron may be associated with the positive fractal dimension. Therefore, the exchange of odderons and pomerons may be viewed as a transition from a less well-defined to a more well-defined internal structure, depending on the energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑