2014/04/30 by W. N. Polyzou, W N Polyzou, Ch. Elster +1
Physics and Astronomy · #Degrees of freedom (physics and chemistry) #Eigenvalues and eigenvectors #Invariant (physics) #Invariant theory #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Relativistic dynamics #Relativistic particle #Scattering #Symmetry group #Unitary state #nucl-th
paper · pdf · doi:10.1088/0954-3899/41/9/094006
33 pages
arxiv created 2014/06/06 · openalex publication_date 2014/07/15 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A relativistic formulation of reaction theory for nuclei with a dynamics given by a unitary representations of the Poincar'e group is developed. Relativistic dynamics is introduced by starting from a relativistic theory of free particles to which rotationally invariant interactions are added to the invariant mass operator. Poincar'e invariance is realized by requiring that simultaneous eigenstates of the mass and spin transform as irreducible representations of the Poincar'e group. A relativistic formulation of scattering theory is presented and approximations emphasizing dominant degrees of freedom that preserve unitarity, exact Poincar'e invariance and exchange symmetry are discussed. A Poincar'e invariant formulation of a (d,p) reaction as a three-body problem is given as an explicit example.