uenlue, SerdarBIrcan, Hasancakmak, NeclaSelam, Cevad2024-09-292024-09-2920230304-42890973-7111https://doi.org/10.1007/s12043-023-02601-5https://hdl.handle.net/20.500.14619/4153We describe the first-forbidden beta transitions by using Pyatov's restoration method within the framework of proton-neutron quasiparticle random phase approximation (pn-QRPA). A detailed formalism related to how to obtain the energies and wave functions of the first-forbidden excitations is clearly given in the present work. A comparison of the calculated results for various nuclei with the corresponding experimental data is given to demonstrate an application of the present approximation.eninfo:eu-repo/semantics/closedAccessRestorationfirst-forbidden beta transitionproton-neutron quasiparticle random phase approximationArticle10.1007/s12043-023-02601-52-s2.0-851675053613Q297WOS:001044274500001Q2