Pseudospin Dynamical Symmetry in Nuclei

11th International Spring Seminar on Nuclear Physics: Shell Model and Nuclear Structure – achievements of the past two decades

Ginocchio, Joseph N.^1

MS 283, Los Alamos National Laboratory, Los Alamos

NM

87545, United States^1

关键词: Atomic nuclei;    Dirac Hamiltonian;    Dynamical symmetry;    Pseudospin;    Scalar and vector potentials;    Scalar potential;    Spin symmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/580/1/012036/pdf
DOI  :  10.1088/1742-6596/580/1/012036

来源: IOP

【 摘 要 】

Pseudospin symmetry has been useful in understanding atomic nuclei. We review the arguments that this symmetry is a relativistic symmetry. The condition for this symmetry is that the sum of the vector and scalar potentials in the Dirac Hamiltonian is a constant. We give the generators of pseudospin symmetry. We review some of the predictions that follow from this insight into the relativistic origins of pseudospin symmetry. Since in nuclei the sum of the scalar and vector potentials is not zero but is small, we discuss preliminary investigations into the conditions on the potentials to produce partial dynamic pseudospin symmetry. Finally we show that approximate pseudospin symmetry in nuclei predicts approximate spin symmetry in anti-nucleon scattering from nuclei.