Context : We study the evolution of close binary systems composed of a normal , intermediate mass star and a neutron star considering a chemical composition typical of that present in globular clusters ( Z = 0.001 ) .

Aims : We look for similarities and differences with respect to solar composition donor stars , which we have extensively studied in the past .
As a definite example , we perform an application on one of the redbacks located in a globular cluster .

Methods : We performed a detailed grid of models in order to find systems that represent the so-called redback binary radio pulsar systems with donor star masses between 0.6 and 2.0 solar masses and orbital periods in the range 0.2 - 0.9 days .

Results : We find that the evolution of these binary systems is rather similar to those corresponding to solar composition objects , allowing us to account for the occurrence of redbacks in globular clusters , as the main physical ingredient is the irradiation feedback .
Redback systems are in the quasi-RLOF state , that is , almost filling their corresponding Roche lobe .
During the irradiation cycle the system alternates between semi-detached and detached states .
While detached the system appears as a binary millisecond pulsar , called a redback .
Circumstellar material , as seen in redbacks , is left behind after the previous semi-detached phase .

Conclusions : The evolution of binary radio pulsar systems considering irradiation successfully accounts for , and provides a way for , the occurrence of redback pulsars in low-metallicity environments such as globular clusters .
This is the case despite possible effects of the low metal content of the donor star that could drive systems away from redback configuration .