We investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framewo...We investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framework of the asymptotic iteration method.When the velocity-dependent term is selected as a constant parameter𝜌0,we present that the energy eigenvalues can be obtained analytically for both Coulomb and harmonic oscillator potentials.However,when the velocity-dependent term is considered as a harmonic oscillator type𝜌ρor^(2)𝑟,taking the velocity-dependent term as a perturbation,we present how to obtain the energy eigenvalues of the Coulomb and harmonic oscillator potentials for any n and e quantum states by using perturbation expansion and numerical calculations in the asymptotic iteration method procedure.展开更多
The angular distributions of elastic scattering of^14N ions on^10B targets have been measured at incident beam energies of 21.0 and 24.5 MeV.Angular distributions at higher energies 38–94.0 MeV(previously measured)we...The angular distributions of elastic scattering of^14N ions on^10B targets have been measured at incident beam energies of 21.0 and 24.5 MeV.Angular distributions at higher energies 38–94.0 MeV(previously measured)were also included in the analysis.All data were analyzed within the framework of the optical model and the distorted waves Born approximation method.The observed rise in cross sections at large angles was interpreted as a possible contribution of theα-cluster exchange mechanism.Spectroscopic amplitudes SA2 and SA4 for the configuration^14N→^10B+αwere extracted.Their average values are 0.58±0.10 and 0.81±0.12 for SA2 and SA4,respectively,suggesting that the exchange mechanism is a major component of the elastic scattering for this system.The energy dependence of the depths for the real and imaginary potentials was found.展开更多
基金Partially supported by the Turkish Science and Research Council(TÜBİTAK)under Grant Nos 109T373 and 210T155,the Turkish Academy of Sciences(TÜBA-GEBİP),Akdeniz University Scientific Research Projects Unit.O.Bayrak and A.Soylu acknowledge the financial support of TÜBİTAK-BİDEP.
文摘We investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framework of the asymptotic iteration method.When the velocity-dependent term is selected as a constant parameter𝜌0,we present that the energy eigenvalues can be obtained analytically for both Coulomb and harmonic oscillator potentials.However,when the velocity-dependent term is considered as a harmonic oscillator type𝜌ρor^(2)𝑟,taking the velocity-dependent term as a perturbation,we present how to obtain the energy eigenvalues of the Coulomb and harmonic oscillator potentials for any n and e quantum states by using perturbation expansion and numerical calculations in the asymptotic iteration method procedure.
基金The work was supported partially by under Sub-Program 105"Applied technological research in atomic energy"of the Republic Program 036"Development of Nuclear and Energy Projects"and the project(BR05236291)of Ministry of Education and Science of Kazakhstan Republic。
文摘The angular distributions of elastic scattering of^14N ions on^10B targets have been measured at incident beam energies of 21.0 and 24.5 MeV.Angular distributions at higher energies 38–94.0 MeV(previously measured)were also included in the analysis.All data were analyzed within the framework of the optical model and the distorted waves Born approximation method.The observed rise in cross sections at large angles was interpreted as a possible contribution of theα-cluster exchange mechanism.Spectroscopic amplitudes SA2 and SA4 for the configuration^14N→^10B+αwere extracted.Their average values are 0.58±0.10 and 0.81±0.12 for SA2 and SA4,respectively,suggesting that the exchange mechanism is a major component of the elastic scattering for this system.The energy dependence of the depths for the real and imaginary potentials was found.
