Statistical properties of the charmonium spectrum and a new mechanism of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi></mml:math>suppression

The statistical properties of the charmonium energy spectrum determined by the Bethe-Salpeter equation are investigated. It is found that the regular motion of the $c\overline{c}$ system can be expected at a small value of color screening mass but the chaotic motion is expected at a large one. It is shown that the level mixing due to color screening serves as a new mechanism resulting in the $J/\ensuremath{\psi}$ suppression. Moreover, this kind of suppression can occur before the color screening mass reaches its critical value for $J/\ensuremath{\psi}$ dissociation. This implies that a strong $J/\ensuremath{\psi}$ suppression is possible in the absence of dissociation of $J/\ensuremath{\psi}.$

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