Within Fermionic Molecular Dynamics (FMD) a quantal nuclear system with only 16 nucleons shows a clearly visible liquid-gas phase transition. The FMD model is an approximation to the many-body problem which describes the system by antisymmetrized many-body states in which each nucleon is occupying a Gaussian shaped time-dependent wave-packet. The statistical ensemble is obtained by time averaging.

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Nuclear Physics A

Perturbative treatment of Pauli antisymmetrization of quarks in a nucleon gas

Chu Keh-cheng, Chun Wa Wong

Published Aug 1, 1989• 0 citations

Publisher

DOI: 10.1016/0375-9474(89)90061-4

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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.