Spin polarizabilities and characteristics of spin-1 hadrons related to parity nonconservation in the Duffin–Kemmer–Petiau formalism

Spin polarizabilities of spin-1 particles typical of spin-1/2 hadrons are established within the Duffin–Kemmer–Petiau formalism using the relativistically invariant effective tensor representation of Lagrangians of two-photon interaction with hadrons. New spin polarizabilities of spin-1 particles associated with the presence of tensor polarizabilities are also determined.     

Investigation of DKP equation for spin-zero system in the presence of Gödel-type background space-time

This paper contains a discussion of a relativistic spin-0 system in the presence of a Gödel-type background space-time. The Duffin–Kemmer–Petiau (DKP) equation in the presence of a Gödel-type background space-time is studied in detail. After a derivation of the final form of this equation in the considered framework, free spin-0 particles have been studied.     

Relativistic spin-zero bosons in a Som–Raychaudhuri space–time

We investigate the Duffin–Kemmer–Petiau equation for spin-zero bosons in a (\(3+1\))-dimensional Som–Raychaudhuri space–time. We establish the covariant Duffin–Kemmer–Petiau equation in this curved space–time for the so-called oscillator and we include interaction with a scalar potential. We determine eigenfunctions and the corresponding eigenvalues for the oscillator with the Cornell potential. We investigate the effect of the space–time’s parameters, oscillator’s frequency and the Cornell potential’s parameters on the wave functions.     

Duffin–Kemmer–Petiau Equation with a Hyperbolical Potential in (2+1) Dimensions for Spin-One Particles

We study the relativistic Duffin–Kemmer–Petiau equation in the presence of a hyperbolical potential in (1+2)-dimensional space–time for spin-one particles. To derive the energy eigenvalues and the corresponding eigenfunctions, we use the Nikiforov–Uvarov method after a Pekeris-type approximation is employed.     

Higher-Order Wave Equation Within the Duffin–Kemmer–Petiau Formalism

Russian Physics Journal - Within the framework of the Duffin–Kemmer–Petiau (DKP) formalism a consistent approach to derivation of the third-order wave equation is suggested. For this...     

Analytical Solution of the Duffin–Kemmer–Petiau Equation for the Sum of Manning–Rosen and Yukawa Class Potentials

Russian Physics Journal - This paper presents an analytical bound-state solution to the Duffin–Kemmer–Petiau equation for the new putative combined Manning–Rosen and Yukawa class...     

Investigation of relativistic bosons in the presence of two-dimensional time-dependent harmonic interaction

The Duffin–Kemmer–Petiau (DKP) equation has been exactly solved for the spin-one particle in the presence of time-dependent harmonic potential in a two dimensional space using the Lewis–Riesenfeld dynamical invariant and unitary transform methods. The dynamical invariant has been constructed and its eigen functions have been obtained. The total wave function as well as the evolution operator have been derived.     

The generalized Coulomb interactions for relativistic scalar bosons

Approximate analytical solutions of Duffin–Kemmer–Petiau (DKP) equation are obtained for the truncated Coulomb, generalized Cornell, Richardson and Song–Lin potentials via the quasi-exact analytical ansatz approach.     

A covariant polarization operator for s=1 particles

An operator corresponding to the 4-vector operator byMichel andWightman is given for the Duffin Kemmer Petiau equation.     

On Fractional Duffin–Kemmer–Petiau Equation

In this paper we treat a fractional bosonic, scalar and vectorial, time equation namely Duffin–Kemmer–Petiau Equation. The fractional variational principle was used, the fractional Euler–Lagrange equations were presented. The wave functions were determined and expressed in terms of Mittag–Leffler function.     

Approximate Solution of the Duffin–Kemmer–Petiau Equation for a Vector Yukawa Potential with Arbitrary Total Angular Momenta

The usual approximation scheme is used to study the solution of the Duffin–Kemmer–Petiau (DKP) equation for a vector Yukawa potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. Further, the exact energy equation and wave function spinor components are also given for the J = 0 case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels (n, J).     

Any J-State Solution of the Duffin–Kemmer–Petiau Equation for a Vector Deformed Woods–Saxon Potential

By using the Pekeris approximation, the Duffin–Kemmer–Petiau (DKP) equation is investigated for a vector deformed Woods–Saxon (dWS) potential. The parametric Nikiforov–Uvarov (NU) method is used in calculations. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. The exact energy equation and wave function spinor components are also given for the J?=?0 case. We use a set of parameter values to obtain the numerical values for the energy states with various values of quantum levels (n, J) and potential’s deformation constant q and width R.     

On the Duffin–Kemmer–Petiau equation with linear potential in the presence of a minimal length

We point out an erroneous handling in the literature regarding solutions of the $(1+1)$-dimensional Duffin–Kemmer–Petiau equation with linear potentials in the context of quantum mechanics with minimal length. Furthermore, using Brau's approach, we present a perturbative treatment of the effect of the minimal length on bound-state solutions when a Lorentz-scalar linear potential is applied.     

Exact solutions of the Kemmer equation for a Dirac oscillator

Exact solutions of Kemmer equation for charged, massive, spin-1 particles in the Dirac oscillator potential have been found. The eigensolutions of this potential have been calculated and discussed in both natural and unnatural parities.     

Aharonov–Casher effect for spin-1 particles in a non-commutative space

In this work, the Aharonov–Casher (AC) phase is calculated for spin-1 particles in a non-commutative space. The AC phase has previously been calculated from the Dirac equation in a non-commutative space using a gauge-like technique. In the spin-1 case, we use the Kemmer equation to calculate the phase in a similar manner. It is shown that the holonomy receives non-trivial kinematical corrections. By comparing the new result with the already known spin-1/2 case, one may conjecture a generalized formula for the corrections to holonomy for higher spins. PACS 02.40.Gh; 03.65.Pm     

Creation of vector bosons by an electric field in curved spacetime

We investigate the creation rate of massive spin-1 bosons in the de Sitter universe by a time-dependent electric field via the Duffin–Kemmer–Petiau (DKP) equation. Complete solutions are given by the Whittaker functions and particle creation rate is computed by using the Bogoliubov transformation technique. We analyze the influence of the electric field on the particle creation rate for the strong and vanishing electric fields. We show that the electric field amplifies the creation rate of charged, massive spin-1 particles. This effect is analyzed by considering similar calculations performed for scalar and spin-1/2$1/2$ particles.     

Reduction of the Bethe-Salpeter equation for the amplitude of the scattering of spin-1 particles to a set of integral equations for invariant functions

Physics of Atomic Nuclei - The Bethe-Salpeter equation for massive spin-1 particles is considered. The amplitude for the scattering of spin-1 particles is expanded in relativistically invariant...     

Approximate solution of the spin-one Duffin-Kemmer-Petiau (DKP) equation under a non-minimal vector Yukawa potential in (1+1)-dimensions

We solve the Duffin-Kemmer-Petiau (DKP) equation with a non-minimal vector Yukawa potential in (1+1)-dimensional space-time for spin-1 particles. The Nikiforov-Uvarov method is used in the calculations, and the eigenfunctions as well as the energy eigenvalues are obtained in a proper Pekeris-type approximation.     

The electromagnetic coupling in Kemmer-Duffin-Petiau theory

We analyze the electromagnetic coupling in the Kemmer-Duffin-Petiau (KDP) equation. Since the KDP equation which describes spin-0 and spin-1 bosons is of Dirac type, we examine some analogies with and differences from the Dirac equation. The main difference with the Dirac equation is that the KDP equation contains redundant components. We will show that as a result certain interaction terms in the Hamilton form of the KDP equation do not have a physical meaning and will not affect the calculation of physical observables. We point out that a second order KDP equation derived by Kemmer as an analogy to the second order Dirac equation is of limited physical applicability as (i) it belongs to a class of second order equations which can be derived from the original KDP equation and (ii) it lacks a back-transformation which would allow one to obtain solutions of the KDP equation out of solutions of the second order equation.     

The Green function for the Duffin–Kemmer–Petiau equation

We present a calculation of the Green function for the Duffin–Kemmer–Petiau equation in the case of scalar and vectorial particles interacting with a square barrier potential, and relate it to that of the Klein–Gordon equation. A formal Hamiltonian of the Duffin–Kemmer–Petiau theory is first developed using the Feshbach–Villars analogy and the Sakata and Taketani decomposition. The coefficients of reflection and transmission are deduced.