﻿ 物理大讲堂—青年学者论坛（126）-吉林大学物理学院 ### 学术活动

#### 物理大讲堂—青年学者论坛（126）

In this talk, we propose a new method for obtaining a Born cross section using visible cross section data. It is assumed that the final state radiation is taken into account in a visible cross section, while in a Born cross section this effect is omitted. Since the equation that connects Born and visible cross sections is an integral equation of the first kind, the problem of finding its numerical solution is ill-posed. Various regularization based approaches are often used to solve ill-posed problems, since direct methods usually do not lead to an acceptable result. This naive method is based on finding a numerical solution to the integral equation by reducing it to a system of linear equations. The naive method works well because the kernel of the integral operator is a rapidly decreasing function of the variable x. This property of the kernel leads to the fact that the condition number of the matrix of the system of linear equations is of the order of unity, which makes it possible to neglect the ill-posedness of the problem when the above condition is satisfied. The advantages of the naive method are its model independence and the possibility of obtaining the covariance matrix of a Born cross section in a simple way.

吉林大学理论物理中心