6533b82efe1ef96bd12931b8

RESEARCH PRODUCT

Relativistic multipole operators for semileptonic weak and electromagnetic nuclear reactions.

Yanhe JinLouis E. WrightC. Bennhold

subject

Semileptonic decayPhysicsElastic scatteringNuclear and High Energy PhysicsParticle physicsNeutral currentNuclear TheoryInelastic scatteringsymbols.namesakeQuantum electrodynamicsDirac equationsymbolsNeutrinoMultipole expansionLepton

description

We discuss multipole operators that arise in a relativistic analysis ofsemileptonic weak and electromagnetic interactions with nuclei. Thesesingle-particle operators are evaluated between relativistic nucleon boundstates that are solutions to the Dirac equation with potentials of the formproduced by the sigma-..omega.. model. The reduced matrix elements aregiven in terms of easily programmable radial integrals and can be applied to anumber of reactions such as elastic and inelastic electron scattering, realphoton processes, ..beta.. decay, and charged lepton capture as well as moreexotic interactions such as charged and neutral current neutrino reactions. Asa specific example, we calculate the elastic and inelastic magnetic formfactors of /ital p/-shell nuclei.

10.1103/physrevc.39.2138https://pubmed.ncbi.nlm.nih.gov/9955455