Color and Kinematic Interference Influence on the Probability of Color Singlet Chain States

Abstract

In popular event generators of high energy reaction, the large Nc, the number of color approximation is implied, which reduces the possible interference effects, and the probability of color singlet chain reaches to about 100%. In $Nc=3$ real world, we show that not only the color interference decreases this probability to 83%, 77%, 72%, $...$, respectively to $n=2$, 3, 4, $...$, {in the process of}$e^+e^-{\longrightarrow}q\bar {q}+ng$ final state, but also the accompanying kinematic interference exists, which decreases this probability to about 67%, 58%, $...$, further. In the meanwhile, we fin d that the kinematic interference makes the probability of color separate singlet states increases synchronously. Combing and analyzing above facts, we infer that the probability of color singlet chain states in high energy ${e^+e^-}{\longrightarrow}{h's}$ reaction would be much smaller than 100%, which is commonly accepted. And the fraction of other color connec tion states, $e.g.$, color separate singlet states should be significant.