Mass spectrum of diquarks and mesons in the color–flavor locked phase of dense quark matter |
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Authors: | D Ebert KG Klimenko VL Yudichev |
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Institution: | 1.Institut für Physik,Humboldt-Universit?t zu Berlin,Berlin,Germany;2.Institute for High Energy Physics,Protvino,Russia;3.Dubna University (Protvino branch),Protvino,Russia;4.Joint Institute for Nuclear Research,Dubna,Russia |
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Abstract: | The spectrum of meson and diquark excitations of dense quark matter is considered in the framework of the Nambu–Jona-Lasinio
model with three types of massless quarks in the presence of a quark number chemical potential μ. We investigate the effective
action of meson and diquark fields both at sufficiently large values of μ>μc≈ 330 MeV, where the color–flavor locked (CFL) phase is realized, and in the chirally broken phase of quark matter (μ<μc). In the latter case all nine pseudoscalar mesons are Nambu–Goldstone (NG) bosons, whereas the mass of the scalar meson nonet
is twice the dynamical quark mass. In the chirally broken phase the pseudoscalar diquarks are not allowed to exist as stable
particles, but the scalar diquarks might be stable only at a rather strong interaction in the diquark channel. In the case
of the CFL phase, all NG bosons of the model are realized as scalar and pseudoscalar diquarks. Moreover, it turns out that
massive diquark excitations are unstable for this phase. In particular, for the scalar and pseudoscalar octets of diquark
resonances a mass value around 230 MeV was found numerically. In contrast, mesons are stable particles in the CFL phase. Their
masses lie in the interval 400–500 MeV for not too large values of μ>μc.
PACS 11.30.Qc; 12.38.-t; 12.39.-x |
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