  Champanerkar and Kofman introduced an interesting way to construct new
examples of quasi-alternating links from existing ones. Actually, they proved
that replacing a quasi-alternating crossing c in a quasi-alternating link by a
rational tangle of same type yields a new quasi-alternating link. This
construction has been extended to alternating algebraic tangles and applied to
characterize all quasi-alternating Montesinos links. In this paper, we extend
this technique to any alternating tangle of same type as c. As an application,
we give new examples of quasi-alternating knots of 13 and 14 crossings.
Moreover, we prove that the Jones polynomial of a quasi-alternating link that
is obtained in this way has no gap if the original link has no gap in its Jones
polynomial. This supports a conjecture introduced in arXiv:1810.11773
[math.GT], which states that Jones polynomial of any prime quasi-alternating
link except (2; n)-torus link has no gap.
