Collective modes and current-algebraic sum rules in nuclear medium
Wojciech Broniowski, Brigitte Hiller
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 IG(JPC)=1-(0++) excitations (quantum numbers of a0(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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