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Atomic parity nonconservation and neutron radii in cesium isotopes

Chen, B. Q. and Vogel, P. (1993) Atomic parity nonconservation and neutron radii in cesium isotopes. Physical Review C, 48 (3). pp. 1392-1400. ISSN 0556-2813. doi:10.1103/PhysRevC.48.1392.

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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 Cs125–Cs139. 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 δ〈r2〉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, although to some extent model dependent, is safely smaller than the anticipated experimental error.

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Vogel, P.0000-0003-0587-5466
Additional Information:©1993 The American Physical Society. Received 5 March 1993. We would like to thank C. Wieman and D. Vieira whose discussion of the proposed experiments inspired the work described here, and to S. Pollock for his comments to the manuscript. We would also like to thank P. Bonche and P.-H. Heenen for providing us the original HF code which this work is based upon. This research was performed in part using the Intel Touchstone Delta System operated by Caltech on behalf of the Concurrent Supercomputing Consortium. This work was supported in part by the U.S. Department of Energy under Contract No. DE-F603-88ER-40397, and by the National Science Foundation, Grant No. PHY90-13248.
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Deposited On:14 Jun 2008
Last Modified:08 Nov 2021 21:11

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