dorsal/arxiv
View SchemaAtomic parity nonconservation and neutron radii in cesium isotopes
| Authors | B. Q. Chen, P. Vogel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9303003 |
| URL | https://arxiv.org/abs/nucl-th/9303003 |
| DOI | 10.1103/PhysRevC.48.1392 |
| Journal | Phys.Rev.C48:1392-1400,1993 |
Abstract
The interpretation of future precise experiments on atomic parity violation in terms of parameters of the Standard Model could be hampered by uncertainties in the atomic and nuclear structure. While the former can be overcome by measurement in a series of isotopes, the nuclear structure requires knowledge of the neutron density. We use the nuclear Hartree-Fock method, which includes deformation effects, to calculate the proton and neutron densities in {125}Cs-{139}Cs. We argue that the good agreement with the experimental charge radii, binding energies, and ground state spins signifies that the phenomenological nuclear force and the method of calculation that we use is adequate. Based on this agreement, and on calculations involving different effective interactions, we estimate the uncertainties in the differences of the neutron radii delta<r^2>_{N,N'} and conclude that they cause uncertainties in the ratio of weak charges, the quantities determined in the atomic parity nonconservation experiments, of less than 10^{-3}. Such an uncertainty is smaller than the anticipated experimental error.
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"abstract": "The interpretation of future precise experiments on atomic parity violation\nin terms of parameters of the Standard Model could be hampered by uncertainties\nin the atomic and nuclear structure. While the former can be overcome by\nmeasurement in a series of isotopes, the nuclear structure requires knowledge\nof the neutron density. We use the nuclear Hartree-Fock method, which includes\ndeformation effects, to calculate the proton and neutron densities in\n{125}Cs-{139}Cs. We argue that the good agreement with the experimental charge\nradii, binding energies, and ground state spins signifies that the\nphenomenological nuclear force and the method of calculation that we use is\nadequate. Based on this agreement, and on calculations involving different\neffective interactions, we estimate the uncertainties in the differences of the\nneutron radii delta\u003cr^2\u003e_{N,N\u0027} and conclude that they cause uncertainties in\nthe ratio of weak charges, the quantities determined in the atomic parity\nnonconservation experiments, of less than 10^{-3}. Such an uncertainty is\nsmaller than the anticipated experimental error.",
"arxiv_id": "nucl-th/9303003",
"authors": [
"B. Q. Chen",
"P. Vogel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.48.1392",
"journal_ref": "Phys.Rev.C48:1392-1400,1993",
"title": "Atomic parity nonconservation and neutron radii in cesium isotopes",
"url": "https://arxiv.org/abs/nucl-th/9303003"
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