Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-03-03
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 12 figures
Scientific paper
We consider the two-pion decay of the $\rho$-meson, the $^3S_1q\bar q$-state of the constituent quarks -- the decay being determined by the transition $q\bar q\to \pi\pi$ contains information about confinement interactions. One can specify in this decay two types of transitions: ({\bf i}) the bremsstrahlung radiation of a pion $q\to q+\pi$ (or $\bar q\to\bar q+\pi$) with the subsequent fusion $q\bar q\to \pi$, and ({\bf ii}) the direct transition $q\bar q\to \pi\pi$. We demonstrate how in the amplitudes of the corresponding transitions the quark singularities have to disappear, {\it i.e.} what is the way the quark confinement at relatively short distances can be realized. We calculate and estimate the contributions of processes with bremsstrahlung radiation of the pion and of the direct transition $q\bar q\to \pi\pi$. The estimates demonstrate that the processes involving the direct transition $q\bar q\to \pi\pi$ are necessary, but they cannot be determined unambiguously by the decay $\rho(775)\to \pi\pi$. We conclude that for the determination of the $q\bar q\to \pi\pi$ transition more complete data on the resonance decays into the $\pi\pi$ channels are required than those available at the moment.
Anisovich A. V.
Anisovich V. V.
Matveev M. A.
Nikonov V. A.
Nyiri J.
No associations
LandOfFree
Two-pion decays of mesons and confinement singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-pion decays of mesons and confinement singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-pion decays of mesons and confinement singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-653023