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We investigate the decays of $\chi_{c0,2}$ into vector meson pairs ($VV$),pseudoscalar pairs ($PP$), and scalar pairs ($SS$) in a general factorizationscheme. The purpose is to clarify the role played by the OZI-rule violationsand SU(3) flavour breakings in the decay transitions, and their correlationswith the final state meson wavefunctions. For $\chi_{c0,2}\to VV$ and $PP$, weobtain an overall self-contained description of the experimental data. Applyingthis factorization to $\chi_{c0}\to f_0^i f_0^j$, where $i, j=1, 2, 3$ denotes$f_0(1710)$, $f_0(1500)$ and $f_0(1370)$, respectively, we find that specificpatterns will arise from the model predictions for the decay branching ratiomagnitudes, and useful information about the structure of those three scalarscan be abstracted.Comment: Revtex, 8 pages, 3 figures; Typos corrected, version accepted by  Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Coherent study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>χ</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>→</mml:mo><mml:mi>V</mml:mi><mml:mi>V</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mi>P</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</…

Coherent study ofχc0,2→VV,PPandS