dorsal/arxiv
View SchemaRelativistic quantum transport theory of hadronic matter: the coupled nucleon, delta and pion system
| Authors | Guangjun Mao, L. Neise, H. Stöcker, W. Greiner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9803045 |
| URL | https://arxiv.org/abs/nucl-th/9803045 |
| DOI | 10.1103/PhysRevC.59.1674 |
| Journal | Phys. Rev. C59 (1999) 1674-1699. |
Abstract
We derive the relativistic quantum transport equation for the pion distribution function based on an effective Lagrangian of the QHD-II model. The closed time-path Green's function technique, the semi-classical, quasi-particle and Born approximation are employed in the derivation. Both the mean field and collision term are derived from the same Lagrangian and presented analytically. The dynamical equation for the pions is consistent with that for the nucleons and deltas which we developed before. Thus, we obtain a relativistic transport model which describes the hadronic matter with $N$, $\Delta$ and $\pi$ degrees of freedom simultaneously. Within this approach, we investigate the medium effects on the pion dispersion relation as well as the pion absorption and pion production channels in cold nuclear matter. In contrast to the results of the non-relativistic model, the pion dispersion relation becomes harder at low momenta and softer at high momenta as compared to the free one, which is mainly caused by the relativistic kinetics. The theoretically predicted free $\pi N \to \Delta$ cross section is in agreement with the experimental data. Medium effects on the $\pi N \to \Delta$ cross section and momentum-dependent $\Delta$-decay width are shown to be substantial.
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"abstract": "We derive the relativistic quantum transport equation for the pion\ndistribution function based on an effective Lagrangian of the QHD-II model. The\nclosed time-path Green\u0027s function technique, the semi-classical, quasi-particle\nand Born approximation are employed in the derivation. Both the mean field and\ncollision term are derived from the same Lagrangian and presented analytically.\nThe dynamical equation for the pions is consistent with that for the nucleons\nand deltas which we developed before. Thus, we obtain a relativistic transport\nmodel which describes the hadronic matter with $N$, $\\Delta$ and $\\pi$ degrees\nof freedom simultaneously. Within this approach, we investigate the medium\neffects on the pion dispersion relation as well as the pion absorption and pion\nproduction channels in cold nuclear matter. In contrast to the results of the\nnon-relativistic model, the pion dispersion relation becomes harder at low\nmomenta and softer at high momenta as compared to the free one, which is mainly\ncaused by the relativistic kinetics. The theoretically predicted free $\\pi N\n\\to \\Delta$ cross section is in agreement with the experimental data. Medium\neffects on the $\\pi N \\to \\Delta$ cross section and momentum-dependent\n$\\Delta$-decay width are shown to be substantial.",
"arxiv_id": "nucl-th/9803045",
"authors": [
"Guangjun Mao",
"L. Neise",
"H. St\u00f6cker",
"W. Greiner"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.59.1674",
"journal_ref": "Phys. Rev. C59 (1999) 1674-1699.",
"title": "Relativistic quantum transport theory of hadronic matter: the coupled nucleon, delta and pion system",
"url": "https://arxiv.org/abs/nucl-th/9803045"
},
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