Pseudospin Dynamical Symmetry in Nuclei

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...

On the Foundations of Pseudospin Symmetry in Nuclei

We show that the generators of pseudospin symmetry are the non relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = −VS. Furthermore, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials. PACS: 24.10.Jv, 21.60.Cs...

Relativistic Pseudospin Symmetry as a Supersymmetric Pattern in Nuclei

The doublet structure (for n ≥ 1) is expressed in terms of a “pseudo” orbital angular momentum l̃ = l + 1 and “pseudo” spin, s̃ = 1/2, coupled to j = l̃ − 1/2 and j = l̃ + 1/2. For example, [ns1/2, (n − 1) d3/2] will have l̃ = 1, etc. The states in Eq. (1) involve only normal-parity shellmodel orbitals. The states (n = 0, l, j = l + 1/2), with aligned spin and no nodes, are not part of a doublet. Th...

On the Relativistic Foundations of Pseudospin Symmetry in Nuclei

We show that the generators of pseudospin symmetry are the non relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = −VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials. P...