dorsal/arxiv
View SchemaDCC dynamics with the SU(3) linear sigma model
| Authors | J. Schaffner-Bielich, J. Randrup |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812032 |
| URL | https://arxiv.org/abs/nucl-th/9812032 |
| DOI | 10.1103/PhysRevC.59.3329 |
| Journal | Phys.Rev.C59:3329-3342,1999 |
Abstract
The SU(3) extension of the linear sigma model is employed to elucidate the effect of including strangeness on the formation of disoriented chiral condensates. By means of a Hartree factorization, approximate dispersion relations for the 18 scalar and pseudoscalar meson species are derived and their self-consistent solution makes it possible to trace out the thermal path of the two order parameters as well as delineate the region of instability within which spontaneous pair creation becomes possible. The results depend significantly on the employed sigma mass, with the highest values yielding the largest regions of instability. An approximate solution of the equations of motion for the order parameter in scenarios emulating uniform scaling expansions show that even with a rapid quench only the pionic modes grow unstable. Nevertheless, the rapid and oscillatory relaxation of the order parameters leads to enhanced production of both pions and (to a lesser degree) kaons.
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"abstract": "The SU(3) extension of the linear sigma model is employed to elucidate the\neffect of including strangeness on the formation of disoriented chiral\ncondensates. By means of a Hartree factorization, approximate dispersion\nrelations for the 18 scalar and pseudoscalar meson species are derived and\ntheir self-consistent solution makes it possible to trace out the thermal path\nof the two order parameters as well as delineate the region of instability\nwithin which spontaneous pair creation becomes possible. The results depend\nsignificantly on the employed sigma mass, with the highest values yielding the\nlargest regions of instability. An approximate solution of the equations of\nmotion for the order parameter in scenarios emulating uniform scaling\nexpansions show that even with a rapid quench only the pionic modes grow\nunstable. Nevertheless, the rapid and oscillatory relaxation of the order\nparameters leads to enhanced production of both pions and (to a lesser degree)\nkaons.",
"arxiv_id": "nucl-th/9812032",
"authors": [
"J. Schaffner-Bielich",
"J. Randrup"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.59.3329",
"journal_ref": "Phys.Rev.C59:3329-3342,1999",
"title": "DCC dynamics with the SU(3) linear sigma model",
"url": "https://arxiv.org/abs/nucl-th/9812032"
},
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