  We propose a method of Casimir pressure renormalization for massive scalar
field in a ball. This method is slightly different from the generally accepted.
An alternative way of choosing the normalization point leads to an exponential
pressure dependence on the mass of the field instead of an inverse polynomial
dependence. The method proposed does not use the scalar quantized field in the
exterior domain. This allows us to bypass the difficulties that appear when one
uses the standard approach.
