Based on Pyatov‐Salamov method, spin‐isospin (Gamow‐Teller) effective interaction strength parameter has been found self‐consistently. Then, the problem has been solved within the framework of QRPA. Gamow‐Teller matrix elements for both β− and β+ transitions and two neutrino
double beta decay nuclear matrix elements have been calculated for 128,130Te→128,130Xe transitions. The obtained results have been compared with the corresponding experimental data and other theoretical results.