the pressure damper 27 which natural vibration forms of the housing cap 15 have to be damped and to what extent depends in particular on the precise construction of the fuel pump 11 and on the planned operating states of the fuel pump 11 it is therefore necessary that the nature of the damping element 53 u2014 in particular the properties of the connection layer 55 and the thickness of the individual layers 55 57 and 59 u2014 be adapted to an intended use for the fuel pump 11 such an adaptation can thus lead for instance to the embodiment shown in fig2 in which the damping element 53 has a total of three layers once again and there is an adhesive or glue layer 61 between the damping element 53 and the housing cap 15 this glue layer 61 is applied to the damping element 53 in the manufacture of the damping element and in the manufacture of the fuel pump 11 the damping element 53 together with the glue layer 61 is pressed onto the housing cap 15 the glue layer 61 is self adhesive in an embodiment not shown however the glue layer 61 is pressure activated that is it does not develop its adhesive action until the damping element 53 and the housing cap 15 are pressed against one another as shown in fig3 the housing cap 15 can itself be embodied as a damping element 53 also the damping element 53 again has the connection layer 55 which is sandwiched by two cover.