An immune response based on directed amplification of specific receptors for antigen produced through a somatic diversification process that includes somatic recombination of germline gene segments encoding immunoglobulin superfamily domains, and allowing for enhanced responses upon subsequent exposures to the same antigen (immunological memory). Recombined receptors for antigen encoded by immunoglobulin superfamily domains include T cell receptors and immunoglobulins (antibodies). An example of this is the adaptive immune response found in Mus musculus.