Gamow and R-matrix Approach to Proton Emitting Nuclei

Abstract

Proton emission from deformed nuclei is described within the non-adiabatic weak coupling model which takes into account the coupling to $\gamma$-vibrations around the axially-symmetric shape. The coupled equations are derived within the Gamow state formalism. A new method, based on the combination of the R-matrix theory and the oscillator expansion technique, is introduced that allows for a substantial increase of the number of coupled channels. As an example, we study the deformed proton emitter ${}^{141}$Ho.

submitted to Phys. Rev. C

References in corpus (5)

• Gamow Shell Model Description of Neutron-Rich Nuclei
• Two-Particle Resonant States in a Many-Body Mean Field
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Role of dynamical particle-vibration coupling in reconciliation of the $d_{3/2}$ puzzle for spherical proton emitters
• Decay Rate of Triaxially-Deformed Proton Emitters

Cited by in corpus (24)

• Radioactive decays at limits of nuclear stability
• Shell Model in the Complex Energy Plane
• Proton radioactivity within a generalized liquid drop model
• Systematics of proton emission
• Alpha Decay in the Complex Energy Shell Model
• Recent Progress in Two-proton Radioactivity
• The puzzling two-proton decay of ${}^{67}$Kr
• Nuclear rotation in the continuum
• Two-proton emission and related phenomena
• Systematic study of proton radioactivity of spherical proton emitters within various versions of proximity potential formalisms
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Isospin-invariant Skyrme energy-density-functional approach with axial symmetry
• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Two-proton radioactivity within Coulomb and proximity potential model
• Bound states of dipolar molecules studied with the Berggren expansion method
• Effects of the triaxial deformation and pairing correlation on the proton emitter 145Tm
• Spectroscopic factors, overlaps, and isospin symmetry from an $R$-matrix point of view
• Bound and resonance states of the dipolar anion of hydrogen cyanide: competition between threshold effects and rotation in an open quantum system
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Shadow poles in a coupled-channel problem calculated with Berggren basis
• Systematic study of proton radioactivity half-lives based on the relationship between the Skyrme-Hartree-Fock and the macroscopic quantities of nuclear matter
• Centrifugal-corrected harmonic oscillator model for spherical proton emitters