Probing the resonance of Dirac particle by the application of complex momentum representation

Abstract

Resonance plays critical roles in the formation of many physical phenomena, and several methods have been developed for the exploration of resonance. In this work, we propose a new scheme for resonance by solving the Dirac equation in complex momentum representation, in which the resonant states are exposed clearly in complex momentum plane and the resonance parameters can be determined precisely without imposing unphysical parameters. Combining with the relativistic mean-field theory, this method is applied to probe the resonances in ${}^{120}$Sn with the energies, widths, and wavefunctions being obtained. Comparing with other methods, this method is not only very effective for narrow resonances, but also can be reliably applied to broad resonances.

6 pages, 5 figures

References in corpus (14)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Shell Model in the Complex Energy Plane
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Pseudospin symmetry in single particle resonant states
• Real stabilization method for nuclear single particle resonances
• Green's function method for single-particle resonant states in relativistic mean field theory
• Isospin dependence of pseudospin symmetry in nuclear resonant states
• Reexamining the temperature and neutron density conditions for r-process nucleosynthesis with augmented nuclear mass models
• Relativistic R matrix and continuum shell model
• Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space
• Scattering of two-dimensional Dirac fermions on gate-defined oscillating quantum dots
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• Magnetic-field-induced electric quadrupole moments for relativistic hydrogenlike atoms: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Cited by in corpus (8)

• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Research on the halo in ${}^{31}$Ne with complex momentum representation method
• Searching for single-particle resonances with the Green's function method
• Role of quadrupole deformation and continuum effects in the "island of inversion'' nuclei ${}^{28,29,31}$F
• Study of single-particle resonant states with Green's function method
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra