arXiv subjects

C. E. Price

Publications and source records attributed to C. E. Price.

4 recordsLinked to original sources

arXiv1993

Chiral Baryon with Quantized Pions

We study a hybrid chiral model for the nucleon based on the linear sigma model with explicit quarks. We solve the model using a Fock-space configuration consisting of three quarks plus three quarks and a pion as the ground state ansatz in place of the ``hedgehog'' ansatz. We minimize the expectation value of the chiral hamiltonian in this ground state configuration and solve the resulting equations for nucleon quantum numbers. We calculate the canonical set of nucleon observables and compare with previous work.

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arXiv1992

Relativistic Nuclear Matter with Self-Consistent Correlation Energy

We study relativistic nuclear matter in the $σ- ω$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with the ring energy included. Two models are considered, mean-field-theory where we neglect vacuum effects, and the relativistic Hartree approximation where such effects are included but in an approximate way. In both cases we find self-consistent solutions and present equations of state. In the mean-field case the ring energy completely dominates the attractive part of the energy density and the elegant saturation mechanism of the standard approach is lost, namely relativistic quenching of the scalar attraction. In the relativistic Hartree approach the vacuum effects are included in an approximate manner using vertex form factors with a cutoff of 1 - 2 GeV, the range expected from QCD. Due to the cutoff, the ring energy for this case is significantlysmaller, and we obtain self-consistent solutions which preserve the basic saturation mechanism of the standard relativistic approach.

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arXiv1992

Exact 1-Fermion Loop Contributions in 1+1 Dimensional Solitons

We find solutions to the 1+1 dimensional scalar-only linear sigma model. A new method is used to compute 1-fermion loop contributions exactly and agreement with published results employing other methods is excellent. A renormalization scheme which differs from that commonly used in such calculations but similar to that required in 1+3 dimensions is also presented. We compare ``kink'' {\it versus} ``shallow bag'' solutions paying careful attention to the implications of the 1-fermion loop contributions for the stability of the former. We find that, for small fermion multiplicities, self-consistent shallow bag solutions are always more bound than their metastable kink counterparts. However, as the fermion multiplicity increases, shallow bags evolve into kinks which eventually are the only self-consistent configurations. This situation is qualitatively the same for the two renormalization schemes considered. When we construct ``baryons'', each containing three fermions, the kink configuration is typically more bound than the shallow bag when 1-fermion loop contributions are included.

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arXiv1992

Transverse response functions in the $Δ$-resonance region

We calculate transverse response functions for quasi-elastic electron scattering at high momentum transfers in a relativistic Hartree approximation in configuration space. We treat the excitation of the $Δ$ resonance using its free mass and width. Good agreement with experiment is found in the dip region.

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