2017/05/01 by Luis B. Castro, Luiz P. de Oliveira, M. G. Garcia +2 · 9 citations
Mathematics · Physics and Astronomy · #Amplitude #Atomic and Subatomic Physics Research #Boson #Bound state #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Coupling (piping) #Electron #Mathematical physics #Minimal coupling #Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Scalar (mathematics) #Scattering amplitude #Vector boson #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1140/epjc/s10052-017-4881-y
published in The European Physical Journal C 77(5) (Springer Science+Business Media) · 8 pages, 1 table. arXiv admin note: text overlap with arXiv:1403.6035
openalex publication_date 2017/05/01 · arxiv created 2017/05/04 · arxiv updated 2017/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin–Kemmer–Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a sine qua non condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings.