dorsal/arxiv
View SchemaRPA Description of the Electric Polarizability of the Nucleon
| Authors | J. Geiss, S. Hardt, H. Lenske, U. Mosel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9511030 |
| URL | https://arxiv.org/abs/nucl-th/9511030 |
| DOI | 10.1007/s002180050153 |
| Journal | Z.Phys. A356 (1996) 99-106 |
Abstract
Excited states of the nucleon are described as RPA configurations on a mean--field ground state taken from the MIT bag model. A residual interaction of a structure as in the Nambu--Jona--Lasinio model is used. The particle-hole states are coupled to good total angular momentum and isospin. Valence excitations of particle-hole type and quark--antiquark ($q\overline{q}$) states from the Dirac--sea are included. The dependence of the baryon spectrum and multipole response functions on the coupling constant $G$ is studied. At critical values of $G$ the 3q--ground state becomes degenerate with strongly collective $q\overline{q}$ modes. The model is used to calculate the electric polarizability of the neutron $\alpha_N$. Without residual interaction $\alpha_N=7\cdot 10^{-4}fm^3$ is found. With residual interaction the value increases to $\alpha_N=(7-11)\cdot 10^{-4}fm^3$. The measured value of $\alpha_N$ is reproduced within experimental error bars.
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"abstract": "Excited states of the nucleon are described as RPA configurations on a\nmean--field ground state taken from the MIT bag model. A residual interaction\nof a structure as in the Nambu--Jona--Lasinio model is used. The particle-hole\nstates are coupled to good total angular momentum and isospin. Valence\nexcitations of particle-hole type and quark--antiquark ($q\\overline{q}$) states\nfrom the Dirac--sea are included. The dependence of the baryon spectrum and\nmultipole response functions on the coupling constant $G$ is studied. At\ncritical values of $G$ the 3q--ground state becomes degenerate with strongly\ncollective $q\\overline{q}$ modes. The model is used to calculate the electric\npolarizability of the neutron $\\alpha_N$. Without residual interaction\n$\\alpha_N=7\\cdot 10^{-4}fm^3$ is found. With residual interaction the value\nincreases to $\\alpha_N=(7-11)\\cdot 10^{-4}fm^3$. The measured value of\n$\\alpha_N$ is reproduced within experimental error bars.",
"arxiv_id": "nucl-th/9511030",
"authors": [
"J. Geiss",
"S. Hardt",
"H. Lenske",
"U. Mosel"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s002180050153",
"journal_ref": "Z.Phys. A356 (1996) 99-106",
"title": "RPA Description of the Electric Polarizability of the Nucleon",
"url": "https://arxiv.org/abs/nucl-th/9511030"
},
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