The systematic approach to study bound states in gluodynamics is presented. The method utilizes flow equations together with low-energy phenomenology, that provides the perturbative renormalization scaling in conjuction with the change of the basis to constituent gluon states. The renormalized effective Hamiltonian of gluodynamics up to the second order is obtained at low energies, which provid...

We obtain L-series solutions of the nonrelativistic three-dimensional wave equation for a large class of non-central potentials that includes, as special cases, the AharonovBohm, Hartmann, and magnetic monopole potentials. It also includes contributions from the potential term, 2 cos r θ (in spherical coordinates). The solutions obtained are for all energies, the discrete (for bound states) as ...

Resonance states of HCO are calculated for total angular momentum J50, 1, and 3 using the artificial boundary inhomogeneity ~ABI! method of Jang and Light @J. Chem. Phys. 102, 3262 ~1995!#. Resonance energies and widths are determined by analyzing the Smith lifetime matrix. A resonance search algorithm and a method for resolving overlapping resonances are described. The accurate prediction of J...

Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrödinger equation dc/dx1kc5@ ikP(x) 1Q(x)#c , where P(x) and Q(x) are real, integrable potentials with finite first moments. Various properties of the scattering solutions are obtained. The corresponding scattering matrix is analyzed, and its small-k and large-k asymptotics are established. Th...

A one-dimensional spin-orbit coupled nanowire with proximity-induced pairing from a nearby s-wave superconductor may be in a topological nontrivial state, in which it has a zero-energy Majorana bound state at each end. We find that the topological trivial phase may have fermionic end states with an exponentially small energy, if the confinement potential at the wire’s ends is smooth. The possib...

Lowest-order cross sections for qq̄ production and annihilation can be approximately corrected for higher-order QCD effects by using a corrective Kfactor. For energies where quark masses cannot be ignored, the K-factor is dominated by the wave function distortion arising from the initialor finalstate interaction between the quark and the antiquark. We evaluate this Kfactor for qq̄ production and ...

We compute charmonium and bottomonium decay widths in two photons or two leptons and the masses of baryons comprising two heavy quarks, solving the Salpeter equation. Baryons are considered as bound states of a quark and a diquark. The interaction energy of a quark-antiquark pair comes from the AdS/QCD correspondence.

The relativistic mean field (RMF) model is applied to a system of nucle-ons and a ¯ K meson, interacting via scalar and vector boson fields. The model incorporates the standard RMF phenomenology for bound nucleons and, for the ¯ K meson, it relates to low-energy ¯ KN and K − atom phenomenology. Deeply bound ¯ K nuclear states are generated dynamically across the periodic table and are exhibited...

We study scattering properties of a PT -symmetric square well potential with real depth larger than the threshold of particle-antiparticle pair production as the time component of a vector potential in the Dirac equation. Spontaneous pair production inside the well becomes tiny beyond the strength at which discrete bound states with real energies disappear, consistently with a spontaneous break...

We calculate the coherent charmonium photoproduction at intermediate energies accounting for the physics of the charmonium bound states and the dependence of the cross section on the region occupied by color using a correspondingly adjusted generalized vector dominance model (GVDM). In the photon energy domain where the coherence lengths are comparable to the average internucleon distances in n...