Phenomenological Model of Elementary Particle Interactions

Non-extensive statistical mechanics and particle spectra in elementary interactions

We generalize Hagedorn’s statistical theory of momentum spectra of particles produced in high-energy collisions using Tsallis’ formalism of non-extensive statistical mechanics. Suitable non-extensive grand canonical partition functions are introduced for both fermions and bosons. Average occupation numbers and moments of transverse momenta are evaluated in an analytic way. We analyse the energy...

Phenomenological Model for Unified Representation of Fundamental Particle Masses

A geometric representation of the (N = 279) masses of quarks, leptons, hadrons and gauge bosons was introduced by employing a Riemann Sphere facilitating the interpretation of the N masses in terms of a single particle, the Masson, which might be in one of the N eigen-states. Geometrically, its mass is the radius of the Riemann Sphere. Dynamically, its derived mass is near the mass of the nucle...

Elementary Particle Physic

algebras in phenomenological description of particle properties

Quantum and q-deformed algebras find their application not only in mathematical physics and field theoretical context, but also in phenomenology of particle properties. We describe (i) the use of quantum algebras Uq(sun) corresponding to Lie algebras of the groups SUn, taken for flavor symmetries of hadrons, in deriving new high-accuracy hadron mass sum rules, and (ii) the use of (multimode) q-...

Unitary Phenomenological Description of Three - Particle Systems ?

A general unitary phenomenological description of strongly interacting three-particle systems is developed in terms of two-particle phase shifts and binding energies, two-particle wave functions inside the range of forces, and the three-body wave function in the region where all three force ranges overlap. The two-particle external and internal parameters are unambiguously separated from each o...