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arXiv · nucl-th/9807086

Collective modes and current-algebraic sum rules in nuclear medium

Wojciech Broniowski·Brigitte Hiller
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Abstract

In-medium sum rules following from the chiral charge algebra of QCD are reviewed, and new sum rules are derived. The new sum rules relate the I^G(J^{PC})=1^-(0^{++}) excitations (quantum numbers of a_0(980)) to the scalar and isovector densities, and are nontrivial for the isospin-asymmetric medium. We present an extensive illustration of the sum rules with help of quark matter in the Nambu-Jona--Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the sum rules and to play a crucial role in the limit of vanishing current quark masses.

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Wojciech Broniowski, Brigitte Hiller. 1998-07-31. Collective modes and current-algebraic sum rules in nuclear medium. https://doi.org/10.1016/s0375-9474(98)00544-2

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