dorsal/arxiv
View SchemaRelativistic transport theory of N, \Delta and N^{*}(1440) interacting through $\sigma$, $\omega$ and $\pi$ mesons
| Authors | Guangjun Mao, L. Neise, H. Stöcker, W. Greiner Zhuxia Li |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709047 |
| URL | https://arxiv.org/abs/nucl-th/9709047 |
| DOI | 10.1103/PhysRevC.57.1938 |
| Journal | Phys.Rev.C57:1938-1961,1998 |
Abstract
A self-consistent relativistic integral-differential equation of the Boltzmann-Uehling-Uhlenbeck-type for the $N^{*}$(1440) resonance is developed based on an effective Lagrangian of baryons interacting through mesons. The closed time-path Green's function technique and semi-classical, quasi-particle and Born approximations are employed in the derivation. The non-equilibrium RBUU-type equation for the $N^{*}$(1440) is consistent with that of nucleon's and delta's which we derived before. Thus, we obtain a set of coupled equations for the $N$, $\Delta$ and $N^{*}$(1440) distribution functions. All the $N^{*}$(1440)-relevant in-medium two-body scattering cross sections within the $N$, $\Delta$ and $N^{*}$(1440) system are derived from the same effective Lagrangian in addition to the mean field and presented analytically, which can be directly used in the study of relativistic heavy-ion collisions. The theoretical prediction of the free $pp \to pp^{*}(1440)$ cross section is in good agreement with the experimental data. We calculate the in-medium $N + N \to N + N^{*}$, $N^{*} + N \to N + N$ and $N^{*} + N \to N^{*} + N$ cross sections in cold nuclear matter up to twice the nuclear matter density. The influence of different choices of the $N^{*}N^{*}$ coupling strengths, which can not be obtained through fitting certain experimental data, are discussed. The results show that the density dependence of predicted in-medium cross sections are sensitive to the $N^{*}N^{*}$ coupling strengths used. An evident density dependence will appear when a large scalar coupling strength of $g_{N^{*}N^{*}}^{\sigma}$ is assumed.
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"abstract": "A self-consistent relativistic integral-differential equation of the\nBoltzmann-Uehling-Uhlenbeck-type for the $N^{*}$(1440) resonance is developed\nbased on an effective Lagrangian of baryons interacting through mesons. The\nclosed time-path Green\u0027s function technique and semi-classical, quasi-particle\nand Born approximations are employed in the derivation. The non-equilibrium\nRBUU-type equation for the $N^{*}$(1440) is consistent with that of nucleon\u0027s\nand delta\u0027s which we derived before. Thus, we obtain a set of coupled equations\nfor the $N$, $\\Delta$ and $N^{*}$(1440) distribution functions.\n All the $N^{*}$(1440)-relevant in-medium two-body scattering cross sections\nwithin the $N$, $\\Delta$ and $N^{*}$(1440) system are derived from the same\neffective Lagrangian in addition to the mean field and presented analytically,\nwhich can be directly used in the study of relativistic heavy-ion collisions.\nThe theoretical prediction of the free $pp \\to pp^{*}(1440)$ cross section is\nin good agreement with the experimental data. We calculate the in-medium $N + N\n\\to N + N^{*}$, $N^{*} + N \\to N + N$ and $N^{*} + N \\to N^{*} + N$ cross\nsections in cold nuclear matter up to twice the nuclear matter density. The\ninfluence of different choices of the $N^{*}N^{*}$ coupling strengths, which\ncan not be obtained through fitting certain experimental data, are discussed.\nThe results show that the density dependence of predicted in-medium cross\nsections are sensitive to the $N^{*}N^{*}$ coupling strengths used. An evident\ndensity dependence will appear when a large scalar coupling strength of\n$g_{N^{*}N^{*}}^{\\sigma}$ is assumed.",
"arxiv_id": "nucl-th/9709047",
"authors": [
"Guangjun Mao",
"L. Neise",
"H. St\u00f6cker",
"W. Greiner Zhuxia Li"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.57.1938",
"journal_ref": "Phys.Rev.C57:1938-1961,1998",
"title": "Relativistic transport theory of N, \\Delta and N^{*}(1440) interacting through $\\sigma$, $\\omega$ and $\\pi$ mesons",
"url": "https://arxiv.org/abs/nucl-th/9709047"
},
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