Abstract
We study interactions of a proton impurity with density oscillations of the neutron matter in a Debye approximation. The proton-phonon coupling is of the deformation-potential type at long wavelengths. It is weak at low density and increases with the neutron matter density. We calculate the proton`s effective mass perturbatively for a weak coupling, and use a canonical transformation technique for stronger couplings. The proton`s effective mass grows significantly with density, and at higher densities the proton impurity can be localized. This behaviour is similar to that of the polaron in solids. We obtain properties of the localized proton in the strong coupling regime from variational calculations, treating the neutron in the Thomas-Fermi approximation. (author). 14 refs, 8 figs.
Kutschera, M;
[1]
Wojcik, W
[2]
- Institute of Nuclear Physics, Cracow (Poland)
- Politechnika Krakowska, Cracow (Poland)
Citation Formats
Kutschera, M, and Wojcik, W.
Proton impurity in the neutron matter: a nuclear polaron problem.
Poland: N. p.,
1992.
Web.
Kutschera, M, & Wojcik, W.
Proton impurity in the neutron matter: a nuclear polaron problem.
Poland.
Kutschera, M, and Wojcik, W.
1992.
"Proton impurity in the neutron matter: a nuclear polaron problem."
Poland.
@misc{etde_50387,
title = {Proton impurity in the neutron matter: a nuclear polaron problem}
author = {Kutschera, M, and Wojcik, W}
abstractNote = {We study interactions of a proton impurity with density oscillations of the neutron matter in a Debye approximation. The proton-phonon coupling is of the deformation-potential type at long wavelengths. It is weak at low density and increases with the neutron matter density. We calculate the proton`s effective mass perturbatively for a weak coupling, and use a canonical transformation technique for stronger couplings. The proton`s effective mass grows significantly with density, and at higher densities the proton impurity can be localized. This behaviour is similar to that of the polaron in solids. We obtain properties of the localized proton in the strong coupling regime from variational calculations, treating the neutron in the Thomas-Fermi approximation. (author). 14 refs, 8 figs.}
place = {Poland}
year = {1992}
month = {Oct}
}
title = {Proton impurity in the neutron matter: a nuclear polaron problem}
author = {Kutschera, M, and Wojcik, W}
abstractNote = {We study interactions of a proton impurity with density oscillations of the neutron matter in a Debye approximation. The proton-phonon coupling is of the deformation-potential type at long wavelengths. It is weak at low density and increases with the neutron matter density. We calculate the proton`s effective mass perturbatively for a weak coupling, and use a canonical transformation technique for stronger couplings. The proton`s effective mass grows significantly with density, and at higher densities the proton impurity can be localized. This behaviour is similar to that of the polaron in solids. We obtain properties of the localized proton in the strong coupling regime from variational calculations, treating the neutron in the Thomas-Fermi approximation. (author). 14 refs, 8 figs.}
place = {Poland}
year = {1992}
month = {Oct}
}