dorsal/arxiv
View SchemaTwo-Body Correlations in Pionic Systems
| Authors | J. M. Haeuser, W. Cassing, A. Peter |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9408030 |
| URL | https://arxiv.org/abs/nucl-th/9408030 |
| DOI | 10.1016/0375-9474(94)00779-M |
| Journal | Nucl.Phys. A585 (1995) 727-761 |
Abstract
In close analogy to fermionic many-body theory the truncation of the bosonic BBGKY density matrix hierarchy on the two-body level leads to a coupled set of nonlinear equations of motion for the one-body density matrix and the two-body correlation function. These equations provide a nonperturbative description of the nonequilibrium time evolution of particle number conserving bosonic many-body systems including the dynamical resummation of parquet-like diagrams. Within this framework we study the properties of a pionic system as a function of temperature and density with focus on two-body quantities. For each temperature we find a related pion density for which the relative strength of the two-body correlation function assumes a maximum and the pionic system is far from the mean-field limit. Since these correlated phases up to $T$=200 MeV only appear at rather low pion density, the hot and dense pion gas as generated in ultrarelativistic nucleus-nucleus collisions should be well described within mean-field theory; i.e. the HBT analysis of pion sources from $\pi-\pi$ correlations should remain valid even in the case of strongly interacting pions.
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"abstract": "In close analogy to fermionic many-body theory the truncation of the bosonic\nBBGKY density matrix hierarchy on the two-body level leads to a coupled set of\nnonlinear equations of motion for the one-body density matrix and the two-body\ncorrelation function. These equations provide a nonperturbative description of\nthe nonequilibrium time evolution of particle number conserving bosonic\nmany-body systems including the dynamical resummation of parquet-like diagrams.\nWithin this framework we study the properties of a pionic system as a function\nof temperature and density with focus on two-body quantities. For each\ntemperature we find a related pion density for which the relative strength of\nthe two-body correlation function assumes a maximum and the pionic system is\nfar from the mean-field limit. Since these correlated phases up to $T$=200 MeV\nonly appear at rather low pion density, the hot and dense pion gas as generated\nin ultrarelativistic nucleus-nucleus collisions should be well described within\nmean-field theory; i.e. the HBT analysis of pion sources from $\\pi-\\pi$\ncorrelations should remain valid even in the case of strongly interacting\npions.",
"arxiv_id": "nucl-th/9408030",
"authors": [
"J. M. Haeuser",
"W. Cassing",
"A. Peter"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)00779-M",
"journal_ref": "Nucl.Phys. A585 (1995) 727-761",
"title": "Two-Body Correlations in Pionic Systems",
"url": "https://arxiv.org/abs/nucl-th/9408030"
},
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