The Using complex scaling method based on Jost function formalism to investigate single-particle resonances in ²⁴O

Abstract

We apply the complex scaling method (CSM) to study single-particle resonance states in ²⁴O by using the Jost function formalism with a Woods-Saxon plus spin-orbit potential. The CSM transformation r →  rotates the branch cut of the complex momentum plane, enabling direct location of resonance poles on the physical Riemann sheet without analytic continuation. The complex-scaled Jost function  is evaluated numerically, and its zeros are found with the Newton-Raphson method. A scan over five rotation angles  (    rad is the scan step) confirms the q-independence of resonance pole positions, as required by the Aguilar-Balslev-Combes theorem. The physical resonance energy  is q-independent for . Four single-particle resonances above the neutron threshold are identified for the and partial waves, with resonance energies of  and  MeV, respectively.