Angular Momentum Analysis of Spin 12 × 12 Scattering including Singlet - Triplet Mixing
نویسندگان
چکیده
The angular momentum (partial wave) reduction of the Lippmann–Schwinger equation describing the interaction of two spin 1 2 particles is extended to the case in which the spin singlet and triplet states are coupled. A straight forward method for obtaining the angular momentum decomposition of the general potential is indicated. The derived formalism is needed to describe the interaction between two nonidentical spin– 1 2 particles or between two nucleons when isospin symmetry is violated. The resulting modification of the Stapp phase–shift analysis is given.
منابع مشابه
Two-electron transport in a quantum waveguide having a single Anderson impurity
We consider the scattering problem of two-electron transport in onedimensional channel coupled with an Anderson-type impurity. The treatment includes the backscattering of the electrons. We show that the transport properties are fundamentally different for spin singlet and triplet states, thus the impurity acts as a novel filter that operates based on the total spin angular momentum of the elec...
متن کاملUltrafast Luminescence Decay in Rhenium(I) Complexes with Imidazo[4,5-f]-1,10-Phenanthroline Ligands: TDDFT Method
The interpretation of the ultrafast luminescence decay in [Re(Br(CO)3(N^N)] complexes as a new group of chromophoric imidazo[4,5-f]-1,10-phenanthroline ligands, including 1,2-dimethoxy benzene, tert-butyl benzene (L4) and 1,2,3-trimethoxy benzene, tert-butyl benzene (L6), was studied. Fac-[Re(Br(CO)3L4 and L6] with different aryl groups were calculated in singlet and triplet excited states. The...
متن کاملMultichannel quantum-defect theory for slow atomic collisions
We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential and both the energy and angular momentum insensitivities of the short-range parameters. The theory provides an accurate and complete account of scattering processes, including shape and Feshbach resonances, in terms of a few parameters such as t...
متن کاملThe Effect of Spin-Orbit Coupling on the Magnetic Properties of H2Ti(μ–H)2TiH2
Excited states of singlet and triplet H2Ti(μ−H)2TiH2 have been calculated using multiconfigurational wave functions. The effects of orbital relaxation are determined by optimizing orbitals for all states separately and comparing to state-averaged calculations, and are found to be small. Dynamic electron correlation included through second-order perturbation theory is found to have a considerabl...
متن کاملEnergy states and exchange energy of coupled double quantum dot in a magnetic field
The ground state energies of two interacting electrons confined in a coupled double quantum dot (DQD) presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. The singlet-triplet transitions in the angular momentum and spin of the quantum dot ground state had been shown .We have studied the magnetic field versus c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993