Generalized Rarita-Schwinger equations for non-strange baryons

Lovas, I.; Sailer, K.; Greiner, Walter

doi:10.1007/bf03157997

Cited by 1 publication

(1 citation statement)

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“…Similar arguments have been presented in Ref. [17] where the authors identified the sigma field in the Walecka model with the degrees of freedom associated with the ∆(1232) in the context of quantum hadrodynamics. However, we repeat that -as opposed to a Lagrangian leading to BR scaling [1] -our effective meson-sobar Lagrangian is not invariant under scale transformation symmetry.…”

Section: B Relation To Br Scalingsupporting

confidence: 76%

Schematic model forρ−a1mixing at finite density and in-medium effective Lagrangian

et al. 2000

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Based on schematic two-level models extended to a1-meson degrees of freedom, we investigate possible mechanisms of chiral restoration in the vector/axialvector channels in cold nuclear matter. In the first part of this article we employ the massive Yang-Mills framework to construct an effective chiral Lagrangian based on low-energy mesonic modes at finite density. The latter are identified through nuclear collective excitations of 'meson'-sobar type such as. In a mean-field type treatment the in-medium gauge couplingĝ, the (axial-) vector meson masses andfπ are found to decrease with density indicating the approach towards chiral restoration in the language of in-medium effective fields. In the second part of our analysis we evaluate the (first) in-medium Weinberg sum rule which relates vector and axialvector correlators to the pion decay constant. Using in-medium ρ/a1 spectral functions (computed in the two-level model) also leads to a substantial reduction of the pion decay constant with increasing density.

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Section: B Relation To Br Scalingsupporting

confidence: 76%