Journal article

Publication year: 1989

Pages: 789-809

Journal: Nuclear Physics A: Nuclear and Hadronic Physics

Volume number: 499

Issue number: 4

ISSN: 0375-9474

eISSN: 1873-1554

DOI Link: https://doi.org/10.1016/0375-9474(89)90063-8

Publisher: Elsevier

Abstract: 
The mean-field equations of the chiral soliton bag model are solved numerically on a full three-dimensional grid by solving the corresponding finite difference equations self-consistently. The spherical hedgehog configuration is found to be the ground state even if deformation degrees of freedom for all fields are allowed for.
Individual states describing the nucleon and the delta resonance are obtained using the cranking formalism in isospace. The classical instability of the pion field, which occurs as soon as the angular frequency is larger than the pion mass, is taken into account by an explicit treatment of the asymptotic meson tails for smaller frequencies. A comparison with the perturbative approach used by other authors is given.
As an alternative approach we present calculations for baryon states built up from single-quark states of sharp spin and isospin coupled to the corresponding total quantum numbers. As a consequence of the wrong spin-isospin dependence of the short-range qq interaction mediated by the chiral meson fields a negative mass splitting between nucleon and delta is found. Implications on other approaches are discussed.

Harvard Citation style: Post, U. and Mosel, U. (1989) Self-consistent mean-field wavefunctions of nucleon and delta for the cranked Chiral soliton bag, Nuclear Physics A: Nuclear and Hadronic Physics, 499(4), pp. 789-809. https://doi.org/10.1016/0375-9474(89)90063-8

APA Citation style: Post, U., & Mosel, U. (1989). Self-consistent mean-field wavefunctions of nucleon and delta for the cranked Chiral soliton bag. Nuclear Physics A: Nuclear and Hadronic Physics. 499(4), 789-809. https://doi.org/10.1016/0375-9474(89)90063-8