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We have performed a detailed investigation of total lifetimes for the$\Xi_{cc}^{++}$ and $\Xi_{cc}^{+}$ baryons in the framework of operator productexpansion over the inverse mass of charmed quark, whereas, to estimate matrixelements of operators obtained in OPE, some approximations of nonrelativisticQCD are used. This approach allows one to take into account the corrections tothe spectator decays of $c$-quarks, which reflect the fact, that these quarksare bound, as well as the contributions, connected to the effects of both thePauli interference for the $\Xi_{cc}^{++}$-baryon and the weak scattering forthe $\Xi_{cc}^{+}$-baryon. The realization of such program leads to thefollowing estimates for the total lifetimes of doubly charmed baryons:$\tau_{\Xi_{cc}^{++}}=0.43\pm 0.1~ps$ and $\tau_{\Xi_{cc}^{+}}=0.11\pm0.01~ps$.Comment: 15 pages, Latex file, 3eps fige

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

Lifetimes of doubly charmed baryons:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>Ξ</mml:mi></mml:mrow><mml:mrow><mml:mi>cc</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>Ξ</mml:mi></mml:mrow><mml:mrow><mml:mi>cc</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:…

Lifetimes of doubly charmed baryons:Ξcc+andΞcc+