We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employ...We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric (SUSY) quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov (NU) method.展开更多
The aim of this work is to provide a phenomenological analysis of the contribution of D^0 meson to K*(892)~0π^+π^-(K*(892)~0-→π^+K^-), K^-π^+ω(ω-→π^+π^-π~0) and K^-π^+?(?(1020)-→ K^+K^-) quasi-three-body ...The aim of this work is to provide a phenomenological analysis of the contribution of D^0 meson to K*(892)~0π^+π^-(K*(892)~0-→π^+K^-), K^-π^+ω(ω-→π^+π^-π~0) and K^-π^+?(?(1020)-→ K^+K^-) quasi-three-body decays. The analysis of mentioned multi-body decays is such as to factorize into the three-body decay and several channels observed. Hadronic three-body decays receive both resonant and non-resonant contribution. Based on the factorization method, there are tree and emission annihilation diagrams for these decay modes. In the case of D^0 to vector pseudoscalar states appeared in factored terms, the matrix elements of the vector and axial vector currents between the D^0 and PV mesons can be computed by using D^(*+)pole. Considering the non-resonant and resonant amplitude in our computation,the theoretical values of the branching ratio are(9.78 ± 0.46) × 10^(-3),(2.74 ± 0.17) × 10^(-2), and(3.53 ± 0.23) × 10^(-5), while the experimental results of them are(9.9 ±2.3) × 10^(-3),(2.7 ± 0.5) × 10^(-2), and(4 ± 1.7) × 10^(-5) respectively. Comparing computational analysis values with experimental values show that our results are in approximately agreement with them.展开更多
By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning–Rosen potentials...By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning–Rosen potentials for any quantum numbers n and l. Energy eigenvalues and the scattering amplitude are calculated. Some special cases of the problem are also investigated.展开更多
The relativistic problem of spin-1/2 fermions subject to vector hyperbolic (kink-like) potential (- tanh kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the ...The relativistic problem of spin-1/2 fermions subject to vector hyperbolic (kink-like) potential (- tanh kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomials in two cases.展开更多
文摘We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric (SUSY) quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov (NU) method.
文摘The aim of this work is to provide a phenomenological analysis of the contribution of D^0 meson to K*(892)~0π^+π^-(K*(892)~0-→π^+K^-), K^-π^+ω(ω-→π^+π^-π~0) and K^-π^+?(?(1020)-→ K^+K^-) quasi-three-body decays. The analysis of mentioned multi-body decays is such as to factorize into the three-body decay and several channels observed. Hadronic three-body decays receive both resonant and non-resonant contribution. Based on the factorization method, there are tree and emission annihilation diagrams for these decay modes. In the case of D^0 to vector pseudoscalar states appeared in factored terms, the matrix elements of the vector and axial vector currents between the D^0 and PV mesons can be computed by using D^(*+)pole. Considering the non-resonant and resonant amplitude in our computation,the theoretical values of the branching ratio are(9.78 ± 0.46) × 10^(-3),(2.74 ± 0.17) × 10^(-2), and(3.53 ± 0.23) × 10^(-5), while the experimental results of them are(9.9 ±2.3) × 10^(-3),(2.7 ± 0.5) × 10^(-2), and(4 ± 1.7) × 10^(-5) respectively. Comparing computational analysis values with experimental values show that our results are in approximately agreement with them.
文摘By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning–Rosen potentials for any quantum numbers n and l. Energy eigenvalues and the scattering amplitude are calculated. Some special cases of the problem are also investigated.
文摘The relativistic problem of spin-1/2 fermions subject to vector hyperbolic (kink-like) potential (- tanh kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomials in two cases.