Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance

Details Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance

2010-03-25

arxiv.org/abs/1003.4934v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 6 figures

Scientific paper

We present a two-flavour linear sigma model with global chiral symmetry and vector and axial-vector mesons. We calculate pion-pion scattering lengths and the decay widths of scalar, vector, and axial-vector mesons. It is demonstrated that vector and axial-vector meson degrees of freedom play an important role in these low-energy processes and that a reasonable theoretical description requires globally chirally invariant terms other than the vector meson mass term. An important question for meson vacuum phenomenology is the quark content of the physical scalar f0(600) and a0(980) mesons. We investigate this question by assigning the quark-antiquark sigma and a0 states of our model with these physical mesons. We show via a detailed comparison with experimental data that this scenario can describe all vacuum properties studied here except for the decay width of the sigma, which turns out to be too small. We also study the alternative assignment f0(1370) and a0(1450) for the scalar mesons. In this case the decay width agrees with the experimental value, but the pion-pion scattering length $a_{0}^{0}$ is too small. This indicates the necessity to extend our model by additional scalar degrees of freedom.

Affiliated with

Also associated with

No associations

Rating

Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance 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 Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556600