An algebraic approach for the six nucleon systems

Augustinas Stepšys

龍之 高塚

E. Werner, Kurt Emrich

Seiya Nishiyama

Various kinds of kinematical constraints of pair operators play important roles in an algebraic approach to the theory of nuclear collective motion. The algebraic foundation of these constraints is given with the use of algebraic recursion formulas.

Kevin E. Schmidt, Stefano Fantoni

Oscar Wallace Greenberg, Robert C. Hilborn

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons. The parameter $q$ attached to a quon labels a smooth interpolation between bosons ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}+1$) and fermions ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\ensuremath{-}1$). Wigner and Ehrenfest and Oppenheimer showed that a composite system of identical bosons and fermions is a fermion if it contains an odd number of fermions and is a boson otherwise. We generalize this and show that ${q}_{\mathrm{composite}}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}q}_{\mathrm{constituent}}^{{n}^{2}}$ for a system of $n$ identical quons. Using this generalization, we find bounds on possible violations of the Pauli exclusion principle for nucleons and quarks based on such bounds for nuclei.