M. Reboiro

Fermion-boson interactions and quantum algebras

Quantum algebras

Schematic model for QCD. I. Low energy meson states

(q

Modeling pentaquark and heptaquark states

algebras) are used to describe interactions between fermions and bosons. Particularly, the concept of a

Schematic model for QCD. III. Hadronic states

{\mathrm{su}}_{q}(2)

A schematic model for QCD at finite temperature.

dynamical symmetry is invoked in order to reproduce the ground state properties of systems of fermions and bosons interacting via schematic forces. The structure of the proposed

Spontaneous and dynamical breaking of mean field symmetries in the proton-neutron quasiparticle random phase approximation and the description of double beta decay transitions

{\mathrm{su}}_{q}(2)

Correspondence between theq-deformed harmonic oscillator and finite range potentials

Hamiltonians, and the meaning of the corresponding deformation parameters, are discussed.

Comparison between wave functions in the random phase approximation, renormalized random phase approximation, and self-consistent random phase approximation methods

A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin-type model for quarks coupled to gluons. The basic building blocks are quark-antiquark pairs coupled to a definite flavor and spin. These pairs are coupled to pairs of gluons with spin zero. The multiplicity problem, which dictates that a given experimental state can be described in various manners, is removed when a particle-mixing interaction is turned on. In this first paper of a series we concentrate on the discussion of meson states at low energy, the so-called zero temperature limit of the theory. The treatment of baryonic states is indicated, also.

Test of consistency of the so-called fully renormalized quasiparticle random phase approximation

A schematic model for hadronic states, based on constituent quarks and antiquarks and gluon pairs, is discussed. The phenomenological interaction between quarks and gluons is QCD motivated. The obtained hadronic spectrum leads to the identification of nucleon and

Schematic model for QCD. II. Finite temperature regime

\ensuremath{\Delta}