Sohail Khan - Profile on Academia.edu (original) (raw)
Related Authors
Uploads
Papers by Sohail Khan
Physical Review C, 1986
A projection operator method is presented for the extraction of resonance energies, shifts, and w... more A projection operator method is presented for the extraction of resonance energies, shifts, and widths of bound states embedded in the continuum for potentials that have a repulsive core. The procedure is apphcable for heavy ion as well as nucleon-nucleus colhsions. The original potential is modified beyond the radius where the repulsive core merges into the attractive part of the potential by a harmonic oscillator potential whose shape is determined primarily by the harmonic oscillator frequency. The method requires that the size of the modified well be fixed for only one particular I value. It is then automatically determined for a range of other I values. The extracted bound states can be used reliably in ensuing diagonalization procedures and in treating continuum-continuum coupling. The method is readily applicable to the determination of widths in those situations where the normal phase shift procedure cannot be employed. As a test case the procedure is applied to ' C+' C for I =0 to 8 and yields resonance energies and widths in very good agreement with a phase shift analysis.
Si28 elastic scattering in the doorway model
Physical Review C, 1985
ABSTRACT Projection operator methods are used to obtain the elastic differential scattering cross... more ABSTRACT Projection operator methods are used to obtain the elastic differential scattering cross section at 90° c.m. for 28Si+ 28Si in the region Elab=100–120 MeV. Good agreement with the energies and structures of resonances seen experimentally is obtained by introducing doorway states for l=34–38 constructed from a particle-vibration model that includes both the 2+ and 3- excitation energies of 28Si. The sudden approximation is used in deriving the ion-ion potential and the density distribution is investigated. The calculated cross sections and widths support the association of the resonances with nuclear molecular formation.
Physical Review C, 1986
A projection operator method is presented for the extraction of resonance energies, shifts, and w... more A projection operator method is presented for the extraction of resonance energies, shifts, and widths of bound states embedded in the continuum for potentials that have a repulsive core. The procedure is apphcable for heavy ion as well as nucleon-nucleus colhsions. The original potential is modified beyond the radius where the repulsive core merges into the attractive part of the potential by a harmonic oscillator potential whose shape is determined primarily by the harmonic oscillator frequency. The method requires that the size of the modified well be fixed for only one particular I value. It is then automatically determined for a range of other I values. The extracted bound states can be used reliably in ensuing diagonalization procedures and in treating continuum-continuum coupling. The method is readily applicable to the determination of widths in those situations where the normal phase shift procedure cannot be employed. As a test case the procedure is applied to ' C+' C for I =0 to 8 and yields resonance energies and widths in very good agreement with a phase shift analysis.
Si28 elastic scattering in the doorway model
Physical Review C, 1985
ABSTRACT Projection operator methods are used to obtain the elastic differential scattering cross... more ABSTRACT Projection operator methods are used to obtain the elastic differential scattering cross section at 90° c.m. for 28Si+ 28Si in the region Elab=100–120 MeV. Good agreement with the energies and structures of resonances seen experimentally is obtained by introducing doorway states for l=34–38 constructed from a particle-vibration model that includes both the 2+ and 3- excitation energies of 28Si. The sudden approximation is used in deriving the ion-ion potential and the density distribution is investigated. The calculated cross sections and widths support the association of the resonances with nuclear molecular formation.