6 papers
Novel method for evaluating the eigenvalues of the Heun differential equation with an application to the Breit equation
P. J. Rijken, Th. A. Rijken
Eigenvalues of the Breit equation, in which only the static Coulomb potential is considered, have been found. Over the past decades several authors have analyzed the Breit equation…
Massive Spin-2: Field-equations, Propagators, Massless-limit, and Perihelion Precessions
Th. A. Rijken, J. W. Wagenaar
This paper presents the quantization of massive and massless spin-2 particles, using the auxiliary field method. The issue, the so-called vDVZ-discontinuity, whether the perihelion…
Nucleon-Quark Diquark-exchange Interaction
Th. A. Rijken
In this note the nucleon-quark diquark-exchange interaction is derived using the Feynman-propagator for axial-vector diquark (D) exchange. The Feynman diquark propagator is derived…
Constituent Quark-model for BaryonsTh. Harmonic confinement and Two-body Meson-exchange Potentials
Th. A. Rijken
Soft Two-body potentials between the constituent quarks of the nucleon are derived using harmonic oscillator, i.e. gaussian, quark wave-functions. The gaussian wave-functions are v…
Constituent Quark Model and nucleon-Nucleon Potentials
Th. A. Rijken
In these notes, while focusing on the meson-nucleon vertices, we give a derivation of the nucleon-nucleon 9NN) potentials from meson-exchange between quarks. To establish such a re…
Quark-Quark and Quark-nucleon Potential model Extended-soft-core meson-exchange Interactions
Th. A. Rijken, Y. Yamamoto
The Quark-quark (QQ) and Quark-nucleon (QN) interactions in this paper are derived from the Extended-soft-core (ESC) interactions. The meson-quark-quark (MQQ) vertices are determin…