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On Size and Shape of the Average Meson Fields in the Semibosonized Nambu & Jona-Lasinio Model | | R.Wuensch
; K.Goeke
; Th.Meissner
; | | Date: |
19 Nov 1993 | | Journal: | Z. Phys. A348 (1994) 111 | | Subject: | nucl-th | | Abstract: | We consider a two-flavor Nambu Jona-Lasinio model in Hartree approximation involving scalar-isoscalar and pseudoscalar-isovector quark-quark interactions. Average meson fields are defined by minimizing the effective Euklidean action. The fermionic part of the action, which contains the full Dirac sea, is regularized within Schwinger’s proper-time scheme. The meson fields are restricted to the chiral circle and to hedgehog configurations. The only parameter of the model is the constituent quark mass $M$ which simultaneously controls the regularization. We evaluate meson and quark fields self-consistently in dependence on the constituent quark mass. It is shown that the self-consistent fields do practically not depend on the constituent quark mass. This allows us to define a properly parameterized reference field which for physically relevant constituent masses can be used as a good approximation to the exactly calculated one. The reference field is chosen to have correct behaviour for small and large radii. To test the agreement between self-consistent and reference fields we calculate several observables like nucleon energy, mean square radius, axial-vector constant and delta-nucleon mass splitting in dependence on the constituent quark mass. The agreement is found to be very well. Figures available on request. | | Source: | arXiv, nucl-th/9311017 | | Services: | Forum | Review | PDF | Favorites | |
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