Anomalous Magnetic Moment Interaction Research Articles

Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

We incorporate the anomalous magnetic moment (AMM) of quarks in the framework of PNJL model to study hot and dense magnetised matter with chiral imbalance. For this purpose, the eigen energy solution of the Dirac equation is obtained in presence of constant background magnetic field and chiral chemical potential (CCP) along with the minimal anomalous magnetic moment interaction of the fermion. Although there is a marginal enhancement in the IMC behaviour of the quark condensate due to the combined effects of AMM and CCP, we find that the overall behaviour of the Polyakov loop and the chiral charge density is dominated by the chiral chemical potential. It is further shown that the AMM effects in presence of CCP remains insignificant even after consideration of thermo-magnetically modified moments.

On the Dirac operator for a test electron in a Reissner–Weyl–Nordström black hole spacetime

The present paper studies the Dirac Hamiltonian of a test electron with a domain of bi-spinor wave functions supported on the static region inside the Cauchy horizon of the subextremal RWN black hole spacetime, respectively inside the event horizon of the extremal RWN black hole spacetime. It is found that this Dirac Hamiltonian is not essentially self-adjoint, yet has infinitely many self-adjoint extensions. Including a sufficiently large anomalous magnetic moment interaction in the Dirac Hamiltonian restores essential self-adjointness; the empirical value of the electron's anomalous magnetic moment is large enough. The spectrum of the subextremal self-adjoint Dirac operator with anomalous magnetic moment is purely absolutely continuous and consists of the whole real line; in particular, there are no eigenvalues. The same is true for the spectrum of any self-adjoint extension of the Dirac operator without anomalous magnetic moment interaction, in the subextremal black hole context. In the extremal black hole sector the point spectrum, if non-empty, consists of a single eigenvalue, which is identified.

Vacuum polarization in the model of Dirac fermions with anomalous magnetic moment interacting with background axial-vector condensate and magnetic field

In this paper, we consider vacuum polarization effects in the model of charged fermions with anomalous magnetic moment and axial-vector interaction term in a uniform magnetic field. Nontrivial orrections to the effective Lagrangian from the anomalous moment and axial-vector term are calculated with account for various configurations of parameters of the model.

SCATTERING OF A SPIN-POLARIZED NEUTRAL FERMION WITH THE ANOMALOUS MAGNETIC MOMENT IN AN AHARONOV–CASHER CONFIGURATION

The scattering of a nonrelativistic neutral massive fermion having the anomalous magnetic moment (AMM) in an electric field of a uniformly charged long conducting thread aligned perpendicularly to the fermion motion is considered to study the so-called Aharonov–Casher (AC) effect by taking into account the particle spin. For this solution, the nonrelativistic Dirac–Pauli equation for a neutral massive fermion with AMM in (3+1) dimensions is found, which takes into account explicitly the particle spin and interaction between AMM of moving fermion and the electric field. Expressions for the scattering amplitude and the cross-section are obtained for spin-polarized massive neutral fermion scattered off the above conducting thread. We conclude that the scattering amplitude and cross-section of spin-polarized massive neutral fermions are influenced by the interaction of AMM of moving neutral fermions with the electric field as well as by the polarization of fermion beam in the initial state.

Exact self-dual soliton solutions in a gauged O(3) sigma model with anomalous magnetic moment interaction

It is shown that a gauged nonlinear O(3) sigma model with anomalous magnetic moment interaction in 2 + 1 dimensions is exactly integrable for static, self-dual field configurations. The matter fields are exactly equivalent to those of the usual ungauged nonlinear O(3) sigma model. These static soliton solutions can be mapped into an Abelian purely magnetic vortex solutions through a suitable reduction of the non-Abelian gauge group. A relativistic Abelian model in 2 + 1 dimensions is also presented where these purely magnetic vortices can be realized.

SOLUTION OF κ DEFORMED DIRAC EQUATION WITH ANOMALOUS MAGNETIC MOMENT INTERACTION

We construct the deformed Dirac equation with anomalous magnetic moment interaction and solve this equation for a charged particle in the presence of a constant magnetic field.

Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term.

Without assuming rotational invariance, we derive Bogomol'nyi equations for the solitons in the Abelian Chern-Simons gauge theories with the anomalous magnetic moment interaction. We also evaluate the number of zero modes around a static soliton configuration.

Magnetic moments of baryons in broken SU(4)

Assuming that the anomalous magnetic moment interaction has the formaT 1 1 +bT 2 2 +cT 4 4 +sT α α in SU(4), which may arise due to symmetry breaking or some other dynamical effects, we have obtained the magnetic moments and the transition moments of the ordinary and charmed baryons.

Elementary considerations on photo meson production

A strong connection is shown to exist between the photomesic effect and the scattering of mesons by nucleons. It is illustrated by showing that the phases for photoproduction are equal to the scattering phases. A theory is presented, the basic idea of which is the recognition of the necessity to take account of both final state correction (in the 33-state) and anomalous magnetic moment interaction in order to obtain an adequate description of photomesic phenomena. (B.O.G.)

Neutral Mesons Arising in the Photoproduction of Pion Pairs

The cross sections for neutrons obtained in the photoproduction of pion pairs have been computed using the Wick-Chew-Low formalism. It is found that in the case of neutral mesons, one must consider the contributions obtained from terms giving rise to two $P$-wave mesons. The latter arise chiefly from the anomalous magnetic moment interaction, and alter the results obtained from terms giving rise to one $S$- and one $P$-wave meson by a factor of about 50% for neutral mesons. The results for charged mesons obtained by Zachariasen and Cutkosky are not altered appreciably. The model so obtained has many features of the model for single meson photoproduction as given by Chew and Low.