Unique Structure of Free Particle Bound States
Hans-Peter Morsch *
HOFF, Brockmullerstr. 11, D-52428, Germany.
*Author to whom correspondence should be addressed.
Abstract
Free particle bound states - which exist only as microscopic systems - are discussed in quantum field theory assuming a QED like Lagrangian with fermion and boson fields. Due to a particular structure, severe boundary conditions can be defined related to geometry, momentum and energy-momentum conservation. Applied to hadrons and atoms, masses or binding energies as well as root mean square radii - which are different by many orders of magnitude between hadrons and atoms - are well described. The fulfillment of a total of about 10 boundary conditions (with three adjustable parameters only) can be considered as a unique and precise test of the mathematical structure of the underlying field theory.
Keywords: Free particle bound state description starting from a QED type Lagrangian with fermion and boson fields, solutions for hadrons and atoms with properties consistent with experimental data, crucial test of the structure from severe boundary conditions.