Pseudospin Symmetry in Single Particle Resonant States

Relativistic Pseudospin Symmetry and the Structure of Nuclear States

Relativistic Pseudospin Symmetry in Nuclei

Pseudospin Symmetry in Nuclei, Spin Symmetry in Hadrons

Ginocchio argued that chiral symmetry breaking in QCD is responsible for the relativistic pseudospin symmetry in the Dirac equation, explaining the observed approximate pseudospin symmetry in sizable nuclei. On a much smaller scale, it is known that spin-orbit splittings in hadrons are small. Specifically, new experimental data from CLEO indicate small splittings in D-mesons. For heavy-light me...

Pseudospin symmetry and the relativistic harmonic oscillator

A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U linear in r. Setting either or both combinations S=S+V and D=V−S to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies a...

Two-particle resonant states in a many-body mean field.

A formalism to evaluate the resonant states produced by two particles moving outside a closed shell core is presented. It is found that long lived two-body states (including bound states) are mostly determined by either bound single-particle states or by narrow single-particle resonances. However, they can be significantly affected by the continuum part of the spectrum.