Semiclassical expansions up to -order in relativistic nuclear physics

Semiclassical expansions up to }4-order in relativistic nuclear physics

We present the first calculation of the }4 Wigner–Kirkwood corrections to a relativistic system of fermions in the presence of external scalar and vector potentials. The method we propose allows the efficient computation of semiclassical corrections to one-body operators such as mean energies and local densities. It also preserves gauge invariance and produces explicitly convergent results desp...

SEMICLASSICAL EXPANSIONS UP TO h̄-ORDER IN RELATIVISTIC NUCLEAR PHYSICS

We present the first calculation of the h̄-Wigner–Kirkwood corrections to a relativistic system of fermions in the presence of external scalar and vector potentials. The method we propose allows to compute efficiently semiclassical corrections to one body operators such as mean energies and local densities. It also preserves gauge invariance and produces explicitly convergent results despite som...

Relativistic Nuclear Physics

We quote arguments from discussions about relativistic nuclear physics for a claim that the light-front Hamiltonian approach and the similarity renormalization scheme may provide a missing element in a theory of baryons and mesons. The key point is that the meson-baryon vertex form factors can be correlated with the number and type of interaction terms in the Hamiltonian, in agreement with quan...

Semiclassical Approach to Relativistic Nuclear Mean Field Theory

Self-Similarity Approach in Relativistic Nuclear Physics

Self-similarity is a special symmetry of solutions, where a change in scales of independent variables can be compensated by a self-similarity transformation of other dynamical variables. General steps towards a self-similar solution are: (i) Determination of the space of parameters of the problem; (ii) Finding/guessing the symmetry of this space, determination of invariants of this space; (iii)...