Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-07-31
Nucl.Phys. A643 (1998) 161-188
Physics
Nuclear Physics
Nuclear Theory
latex, elsart.sty, 32 pages, 11 figures
Scientific paper
10.1016/S0375-9474(98)00544-2
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.
Broniowski Wojciech
Hiller Brigitte
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