dorsal/arxiv
View SchemaClassical Hadrodynamics: A New Approach to Ultrarelativistic Heavy-Ion Collisions
| Authors | Brian W. Bush, J. Rayford Nix |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9406033 |
| URL | https://arxiv.org/abs/nucl-th/9406033 |
| DOI | 10.1016/0375-9474(94)00748-C |
| Journal | Nucl.Phys.A583:705C-710C,1995 |
Abstract
We discuss a new approach to ultrarelativistic heavy-ion collisions based on classical hadrodynamics for extended nucleons, corresponding to nucleons of finite size interacting with massive meson fields. This new theory provides a natural covariant microscopic approach that includes automatically spacetime nonlocality and retardation, nonequilibrium phenomena, interactions among all nucleons and particle production. In the current version of our theory, we consider $N$ extended unexcited nucleons interacting with massive neutral scalar ($\sigma$) and neutral vector ($\omega$) meson fields. The resulting classical relativistic many-body equations of motion are solved numerically without further approximation for soft nucleon-nucleon collisions at $p_{\rm lab}$ = 14.6, 30, 60, 100 and 200 GeV/$c$ to yield the transverse momentum imparted to the nucleons. For the future development of the theory, the isovector pseudoscalar ($\pi^+$, $\pi^-$, $\pi^0$), isovector scalar ($\delta^+$, $\delta^-$, $\delta^0$), isovector vector ($\rho^+$, $\rho^-$, $\rho^0$) and neutral pseudoscalar ($\eta$) meson fields that are known to be important from nucleon-nucleon scattering experiments should be incorporated. In addition, the effects of quantum uncertainty on the equations of motion should be included by use of techniques analogous to those used by Moniz and Sharp for nonrelativistic quantum electrodynamics.
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"abstract": "We discuss a new approach to ultrarelativistic heavy-ion collisions based on\nclassical hadrodynamics for extended nucleons, corresponding to nucleons of\nfinite size interacting with massive meson fields. This new theory provides a\nnatural covariant microscopic approach that includes automatically spacetime\nnonlocality and retardation, nonequilibrium phenomena, interactions among all\nnucleons and particle production. In the current version of our theory, we\nconsider $N$ extended unexcited nucleons interacting with massive neutral\nscalar ($\\sigma$) and neutral vector ($\\omega$) meson fields. The resulting\nclassical relativistic many-body equations of motion are solved numerically\nwithout further approximation for soft nucleon-nucleon collisions at $p_{\\rm\nlab}$ = 14.6, 30, 60, 100 and 200 GeV/$c$ to yield the transverse momentum\nimparted to the nucleons. For the future development of the theory, the\nisovector pseudoscalar ($\\pi^+$, $\\pi^-$, $\\pi^0$), isovector scalar\n($\\delta^+$, $\\delta^-$, $\\delta^0$), isovector vector ($\\rho^+$, $\\rho^-$,\n$\\rho^0$) and neutral pseudoscalar ($\\eta$) meson fields that are known to be\nimportant from nucleon-nucleon scattering experiments should be incorporated.\nIn addition, the effects of quantum uncertainty on the equations of motion\nshould be included by use of techniques analogous to those used by Moniz and\nSharp for nonrelativistic quantum electrodynamics.",
"arxiv_id": "nucl-th/9406033",
"authors": [
"Brian W. Bush",
"J. Rayford Nix"
],
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"doi": "10.1016/0375-9474(94)00748-C",
"journal_ref": "Nucl.Phys.A583:705C-710C,1995",
"title": "Classical Hadrodynamics: A New Approach to Ultrarelativistic Heavy-Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9406033"
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