Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-03-17
Physics
Nuclear Physics
Nuclear Theory
12 pages, 8 figures
Scientific paper
It was found that the most simple analysis in the linear \sigma- model, where the sigma meson couples in vacuum to two virtual pions, predicted the most typical values for the \sigma-mass and total decay width as 486+/-7MeV and 340+/-20MeV respectively. It was demonstrate, via statistical analysis, that the experimental values reported by the Fermilab (E791) Collaboration represents approximately 56% of the values predicted by the linear \sigma- model together with the Breit-Wigner formalism. Additional, it was created the spectral function, in terms of the \sigma-meson regularized self-energy, which is consistently with the Breit-Wigner distribution and it reproduces reasonably well the total width and observable mass given by the Fermilab (E791) Collaboration and Dalitz plot. The results are a strong evidence that the \sigma- meson can be considered as a two-pion resonance.
Menchaca Maciel M. C.
Morones Ibarra J. R.
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