一种新的构造粒子波函数方法

A new method for constructing flavor wave function

提出了一种构造粒子波函数的新方法.首先给出了利用线性方程方法计算得到的同位标量因子的解析公式.然后利用杨图外积规则和盖尔范德基具体构造了SU(3)表示下的重子味道波函数,最后推广到描述包括粲夸克的SU(4)重子味道波函数.这一方法可以很容易推广到计算任意SU(n)表示的粒子味道波函数,并且使用同一方法也可以构造颜色空间和自旋空间的波函数.研究表明这一新方法对构造新的粒子波函数和进一步理解强子结构有很大的帮助.

A new method is proposed to constructing the flavor wave functions.In this method,we use the Gelfand basis and the isoscalar factor to calculate the flavor wave functions of particle by applying the outer product rule.Firstly,the up quark（u）,down quark（d） and strange quark（s） are considered to obtain the SU（3） flavor wave functions of baryon with spin 3/2.Then,the charm quark（c） is further considered to construct the SU（4） flavor wave functions.It shows that this new method can be easily extended to SU（n） flavor wave functions.It also shows that this method can be used to calculate the wave function in color space and spin space.Hence,this method is very helpful for constructing new wave function and further understanding the new structure of hadron physics.