A closure capsule for closing a container, comprising: - a cap that can be associated with a container and comprising a frangible mouth ; - a cutter comprising a cutting edge designed to open said frangible mouth ; at least said cap and said cutter in combination defining a reservoir for containing a substance to be dropped into the container when the frangible mouth is opened; - a covering that protects the cap and the cutter ; said covering being separate from the cutter and, in turn, comprising: i) a lateral wall that encloses a zone for at least partially housing the cutter ; ii) a base from which said lateral wall extends; - means for transmitting an opening torque, from the covering to the cutter, for opening the frangible mouth , said transmitting means comprising a first and a second portion incorporated in the covering and in the cutter , respectively; said first portion being incorporated in the base ; characterized in that the transmitting means , when enmeshed, enables a solidly rotational-translational movement of the covering and of the cutter ; the transmitting means , when enmeshed, thus enables the transmission of the opening torque of the frangible mouth without relative sliding between the covering and the cutter . - a cap that can be associated with a container and comprising a frangible mouth ; - a cutter comprising a cutting edge designed to open said frangible mouth ; at least said cap and said cutter in combination defining a reservoir for containing a substance to be dropped into the container when the frangible mouth is opened; - a covering that protects the cap and the cutter ; said covering being separate from the cutter and, in turn, comprising: i) a lateral wall that encloses a zone for at least partially housing the cutter ; ii) a base from which said lateral wall extends; - means for transmitting an opening torque, from the covering to the cutter, for opening the frangible mouth , said transmitting means comprising a first and a second portion incorporated in the covering and in the cutter , respectively; said first portion being incorporated in the base ; characterized in that the transmitting means , when enmeshed, enables a solidly rotational-translational movement of the covering and of the cutter ; the transmitting means , when enmeshed, thus enables the transmission of the opening torque of the frangible mouth without relative sliding between the covering and the cutter . i) a lateral wall that encloses a zone for at least partially housing the cutter ; ii) a base from which said lateral wall extends; - means for transmitting an opening torque, from the covering to the cutter, for opening the frangible mouth , said transmitting means comprising a first and a second portion incorporated in the covering and in the cutter , respectively; said first portion being incorporated in the base ; characterized in that the transmitting means , when enmeshed, enables a solidly rotational-translational movement of the covering and of the cutter ; the transmitting means , when enmeshed, thus enables the transmission of the opening torque of the frangible mouth without relative sliding between the covering and the cutter . - means for transmitting an opening torque, from the covering to the cutter, for opening the frangible mouth , said transmitting means comprising a first and a second portion incorporated in the covering and in the cutter , respectively; said first portion being incorporated in the base ; <EOS>