Relativistic Coupled Cluster (RCC) Computation of the Electric Dipole Moment Enhancement Factor of Francium Due to the Violation of Time Reversal Symmetry†

2009 ◽  
Vol 113 (45) ◽  
pp. 12549-12557 ◽  
Author(s):  
Debashis Mukherjee ◽  
B. K. Sahoo ◽  
H. S. Nataraj ◽  
B. P. Das
Author(s):  
Engel Roza

An analysis is presented of the possible existence of a second anomalous dipole moment of Dirac’s particle next to the angular one. It includes a discussion why, in spite of his own derivation, Dirac has doubted about its relevancy. It is shown why since then it has been overlooked and why it has vanished from leading textbooks. A critical survey is given on the reasons of its reject, including the failure of attempts to measure and the perceived violations of time reversal symmetry and chargeparity symmetry. It is emphasized that the anomalous electric dipole moment of the pointlike electron (AEDM) is fundamentally different from the quantum field type electric dipole moment of an electron (eEDM) as defined in the standard model of particle physics and that its measurement requires different instrumentation. A proposal has been described how to prove or disprove its existence by experiment. Moreover, by reference from literature, the possible impact is discussed in the nuclear domain and in the gravitational domain.


Author(s):  
Engel Roza

An analysis is presented of the possible existence of a second anomalous dipole moment of Dirac’s particle next to the angular one. It includes a discussion why, in spite of his own derivation, Dirac has denied its relevancy. It is shown why since then it has been overlooked and why it has vanished from leading textbooks. A critical survey is given on the reasons of its reject, including the failure of attempts to measure and the perceived violations of time reversal symmetry and charge-parity symmetry. Moreover, by reference from literature, the possible impact is discussed in the nuclear domain and in the gravitational domain.


2010 ◽  
Vol 844 (1-4) ◽  
pp. 143c-149c ◽  
Author(s):  
H.W. Wilschut ◽  
D.J. van der Hoek ◽  
K. Jungmann ◽  
W. Kruithof ◽  
C.J.G. Onderwater ◽  
...  

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Malika Denis ◽  
Pi A. B. Haase ◽  
Rob G. E. Timmermans ◽  
Ephraim Eliav ◽  
Nicholas R. Hutzler ◽  
...  

2016 ◽  
Vol 113 (27) ◽  
pp. 7438-7442 ◽  
Author(s):  
Gordon Baym ◽  
D. H. Beck

The neutron, in addition to possibly having a permanent electric dipole moment as a consequence of violation of time-reversal invariance, develops an induced electric dipole moment in the presence of an external electric field. We present here a unified nonrelativistic description of these two phenomena, in which the dipole moment operator, D→, is not constrained to lie along the spin operator. Although the expectation value of D→ in the neutron is less than 10−13 of the neutron radius, rn, the expectation value of D→ 2 is of order rn2. We determine the spin motion in external electric and magnetic fields, as used in past and future searches for a permanent dipole moment, and show that the neutron electric polarizability, although entering the neutron energy in an external electric field, does not affect the spin motion. In a simple nonrelativistic model we show that the expectation value of the permanent dipole is, to lowest order, proportional to the product of the time-reversal-violating coupling strength and the electric polarizability of the neutron.


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