https://doi.org/10.1140/epjc/s10052-017-4881-y
Regular Article - Theoretical Physics
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
1
Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, 65080-805, São Luís, MA, Brazil
2
Instituto de Física, Universidade de São Paulo (USP), 05508-900, São Paulo, SP, Brazil
3
Departamento de Física, Instituto Tecnológico de Aeronáutica (ITA), 12228-900, São José dos Campos, SP, Brazil
4
Departamento de Matemática Aplicada, Universidade Estadual de Campinas (UNICAMP), IMECC, 13081-970, Campinas, SP, Brazil
5
Departamento de Física e Química, Universidade Estadual Paulista (UNESP), Campus de Guaratinguetá, 12516-410, Guaratinguetá, SP, Brazil
* e-mail: lrb.castro@ufma.br
** e-mail: luis.castro@pq.cnpq.br
Received:
10
February
2016
Accepted:
3
May
2017
Published online:
16
May
2017
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.
© The Author(s), 2017
