$γγ\toπ^0π^0$ and $η\toπ^0γγ$ at $O(p^6)$ in the NJL model

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dc.creatorBel'kov, A. A.
dc.creatorLanyov, A. V.
dc.creatorScherer, S.
dc.date1995-06-23
dc.date1995-06-24
dc.date.accessioned2026-07-07T10:58:09Z
dc.date.available2026-07-07T10:58:09Z
dc.descriptionWe discuss the processes $γγ\toπ^0π^0$ and $η\toπ^0 γγ$ at $O(p^6)$ in the momentum expansion. The calculation involves tree--level, one--loop and two--loop diagrams of a chiral effective lagrangian which is obtained by a bosonization of the NJL model. The importance of integrating out meson resonances (reduction) is pointed out. Our final results for the total cross section of $γγ\toπ^0π^0$ are in good agreement with the experimental data of the Crystal Ball Collaboration. For the width of the $η\toπ^0γγ$ decay we obtain the value $0.11$ eV which has to be compared with the experimental value of $(0.84 \pm 0.18)$ eV. Alternatively, taking empirical parameters from a vector--meson--dominance model the prediction for the decay width is $0.35$ eV. We present a prediction for the differential decay probability as a function of $m_{γγ}^2/m_η^2$.
dc.description16 pages, LaTeX, 2 figures included. Complete Postscript file is available at http://cv.jinr.dubna.su/~lanyov/save/gg-prep.ps
dc.identifierhttps://arxiv.org/abs/hep-ph/9506406
dc.identifierhttp://arxiv.org/abs/hep-ph/9506406
dc.identifierJ.Phys.G22:1383-1394,1996
dc.identifierdoi:10.1088/0954-3899/22/10/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186998
dc.subjectHigh Energy Physics - Phenomenology
dc.title$γγ\toπ^0π^0$ and $η\toπ^0γγ$ at $O(p^6)$ in the NJL model
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