A set of seals for sealing between the stator components of a pump, the stator components comprising two half shells defining at least one pumping chamber and two head plates to be mounted at either end of the two half shells. The set of seals comprises: at least one annular seal for sealing between at least one of the head plates and the two half shells; two longitudinal seals for sealing between longitudinal contact faces of the two half shell stators on either side of the at least one pumping chamber, the longitudinal seals being configured to have end portions that abut against the at least one annular seal when mounted in the pump. Each of the seals within the set of seals are made of a material having at least one of: a hardness between 73 – 83, preferably 75 - 81 on the Shore A hardness scale; and a stiffness of between 2.4 and 4.2 N/mm per mm length, wherein the stiffness is measured by axially compressing at room temperature an O-ring of the material, the O-ring having a cross section diameter of 3.4 mm and an internal diameter of at least 40 mm.
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