The rapid neutron capture abundance peaks appear around mass numbers 80, 130 and 195 and the corresponding time scales are determined by the \(\beta \) -decay half-lives. We investigate the \(\beta \) -decay properties for odd-A nuclei in the vicinity of mass range 130 using the proton-neutron quasiparticle random phase approximation (pn-QRPA) model. We calculate log \(ft\) values, Gamow-Teller (GT) strength distributions, branching ratios, half-lives and stellar rates for the selected nuclei. The computed \(\beta \) -decay properties were compared with previous calculations and measurements. The pn-QRPA model reproduced well the low-lying GT transitions up to 3 MeV in daughter and fulfilled the Ikeda sum rule. The calculations reproduced measured \(\beta \) -decay half-lives within a factor 2 for more than 82% of the cases. The stellar \(\beta ^+\) /electron capture rates on Cs, Ba and La odd-A isotopes increased with increasing core temperatures and densities. For the Xe isotopes, the stellar \(\beta ^-\) /positron capture rates decreased by orders of magnitude with increasing core densities and created impact only at high core temperature values in excess of 10 GK. The reported results can prove useful for simulators working on nucleosynthesis calculations.
