arXiv subjects

A. N. Petrov

Publications and source records attributed to A. N. Petrov.

At least 37 records · Page 2Linked to original sources

arXiv2017

Zeeman interaction in $^3Δ_1$ state of HfF$^+$ to search for the electron electric-dipole-moment

We report the theoretical investigation of the suppression of magnetic systematic effects in HfF$^+$ cation for the experiment to search for the electron electric dipole moment. The g-factors for $J = 1$, $F=3/2$, $|M_F|=3/2$ hyperfine levels of the $^3Δ_1$ state are calculated as functions of the external electric field. The lowest value for the difference between the g-factors of $Ω$-doublet levels, $Δg = 3 \times 10^{-6}$, is attained at the electric field 7 V/cm. The body-fixed g-factor, $G_{\parallel}$, was obtained both within the electronic structure calculations and with our fit of the experimental data from [H. Loh, K. C. Cossel, M. C. Grau, K.-K. Ni, E. R. Meyer, J. L. Bohn, J. Ye, and E. A. Cornell, Science {\bf 342}, 1220 (2013)]. For the electronic structure calculations we used a combined scheme to perform correlation calculations of HfF$^+$ which includes both the direct 4-component all-electron and generalized relativistic effective core potential approaches. The electron correlation effects were treated using the coupled cluster methods. The calculated value $G_{\parallel}=0.0115$ agrees very well with the $G_{\parallel}=0.0118$ obtained in the our fitting procedure. The calculated value $D_{\parallel}=-1.53$ a.u. of the molecule frame dipole moment (with the origin in the center of mass) is in agreement with the experimental value $D_{\parallel}=-1.54(1)$ a.u. [H. Loh, Ph.D. thesis, Massachusetts Institute of Technology (2006)].

physics.atom-ph↗

arXiv2017

The Rabi frequency on the $H^3Δ_1$ to $C^1Π$ transition in ThO: influence of interaction with electric and magnetic fields

Calculations of the correlations between the Rabi frequency on the $H^3Δ_1$ to $C^1Π$ transition in ThO molecule and experimental setup parameters in the electron electric dipole moment (eEDM) search experiment is performed. Calculations are required for estimations of systematic errors in the experiment due to imperfections in laser beams used to prepare the molecule and read out the eEDM signal.

physics.atom-ph↗

arXiv2015

Maeda-Dadhich Solutions as Real Black Holes

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main goal of our work is to study physically sensible characteristics, which could be observable. Study of the perturbed equations demonstrates their stability under linear perturbations. The specific combinations of the parameters, permitting to construct black hole-like objects with one or two horizons or naked singularities are determined. Stable orbits of test particles around these black holes are presented. We show the exotic thermodynamical properties of the solution, when the Hawking evaporation law has the behavior opposite to usual one in General Relativity.

gr-qc↗

arXiv2015

TaN molecule as a candidate to search for New physics

It is demonstrated that the TaN molecule is the best candidate to search for T,P-violating nuclear magnetic quadrupole moment (MQM), it also looks promising to search for other T,P-odd effects. We report results of coupled-cluster calculations of T,P-odd effects in TaN produced by the Ta nucleus MQM, electron electric dipole moment (EDM), scalar$-$pseudoscalar nucleus$-$electron interactions, also of the molecule-axis hyperfine structure constant and dipole moment. Nuclear calculations of $^{181}$Ta MQM are performed to express the T,P-odd effect in terms of the strength constants of T,P-odd nuclear forces, proton and neutron EDM, QCD parameter $θ$ and quark chromo-EDM.

physics.atom-ph↗

arXiv2015

AC Stark effect in ThO $H^3Δ_1$ for the electron EDM search

A method and code for calculations of diatomic molecules in the external variable electromagnetic field have been developed. Code applied for calculation of systematics in the electron's electric dipole moment search experiment on ThO $H^3Δ_1$ state related to geometric phases, including dependence on $Ω$-doublet, rotational level, and external static electric field. It is found that systematics decrease cubically with respect to the frequency of the rotating transverse component of the electric field. Calculation confirms that experiment on ThO $H^3Δ_1$ state is very robust against systematic errors related to geometric phases.

physics.atom-ph↗

arXiv2015

Verification of g-factors for lead monofluoride ground state, PbF

We report the results of our theoretical study and analysis of earlier experimental data for the g-factor tensor components of the ground $^2Π_{1/2}$ state of free PbF radical. The values obtained both within the relativistic coupled-cluster method combined with the generalized relativistic effective core potential approach and with our fit of the experimental data from [R.J. Mawhorter, B.S. Murphy, A.L. Baum, T.J. Sears, T. Yang, P.M. Rupasinghe, C.P. McRaven, N.E. Shafer-Ray, L.D. Alphei, J.-U. Grabow, Phys. Rev. A 84, 022508 (2011); A. Baum, B.S. thesis, Pomona College, 2011]. The obtained results agree very well with each other but contradict the previous fit performed in the cited works. Our final prediction for g-factors is $G_{\parallel}= 0.081(5)$, $G_{\perp}=-0.27(1)$.

physics.atom-ph↗

arXiv2014

Towards the search of T,P-odd interactions in lead monofluoride, PbF

The relativistic coupled-clusters method combined with the generalized relativistic effective core potential approach and nonvariational one-center restoration technique is applied to evaluation of parameters of spin-rotational effective Hamiltonian in lead monofluoride to study the effects of violation of time-reversal invariance (T) and space parity (P) in PbF. The obtained hyperfine structure constants, A$_{||}$=9942 MHz and A$_{\perp}$=-7174 MHz are stable with respect to the improvement of the correlation treatment and they are in a very good agreement with the experimental data, A$_{||}$=10147 MHz and A$_{\perp}$=-7264 MHz [PRA {\bf 84}, 022508 (2011)]. This is essential to the important task of verifying the value of effective electric field \Eeff =40 GV/cm, the parameter of P-odd interaction $W_{P}$=-1213 Hz and the parameter of T,P-odd pseudoscalar$-$scalar electron$-$nucleus interaction $W_{T,P}$=91 kHz, which are of primary interest in the paper.

physics.atom-ph↗

arXiv2014

Calculation of the parity and time reversal violating interaction in ^{225}RaO

The 10-electron generalized relativistic effective core potential and the corresponding correlation spin-orbital basis sets are generated for the Ra atom and the relativistic coupled cluster calculations for the RaO molecule are performed. The main goal of the study is to evaluate the P,T-odd parameter X characterized by the molecular electronic structure and corresponding to a "volume effect" in the interaction of the ^{225}Ra nucleus Schiff moment with electronic shells of RaO. Our final result for X(^{225}RaO) is -7532 which is surprisingly close to that in ^{205}TlF but has different sign. The obtained results are discussed and the quality of the calculations is analyzed. The value is of interest for a proposed experiment on RaO [PRA 77, 024501 (2008)] due to a very large expected Schiff moment of the ^{225}Ra nucleus.

physics.atom-ph↗

arXiv2014

Ab initio study of radium monofluoride, RaF, as a candidate to search for P- and T,P- violation effects

Relativistic ab initio calculations have been performed to assess the suitability of RaF for experimental search of P- and T,P-violating interactions. The parameters of P- and T,P-odd terms of the spin-rotational Hamiltonian have been calculated for the ${^2}Σ$ electronic ground state of RaF molecule. They include the parameter $W_a$, which is critical in experimental search for nuclear anapole moment and the parameters $W_d$ and $W_{\rm SP}$ required to obtain restrictions on the electric dipole moment of the electron and T,P-odd scalar-pseudoscalar interactions, respectively. The parameter $X$ corresponding to the "volume effect" in the T,P$-$odd interaction of the $^{223}$Ra nuclear Schiff moment with electronic shells of RaF has also been computed. Spectroscopic and hyperfine structure constants for $^{223}$RaF and $^{223}$Ra$^+$ have been computed as well, demonstrating the accuracy of the methods employed.

physics.atom-ph↗

arXiv2014

Manifestations of nuclear CP-violation in ThO molecule

Investigations of CP violation in hadron sector may be done using measurements in the ThO molecule. Recent measurements in this molecule improved the limit on electron EDM by an order of magnitude. Another time reversal (T) and parity (P) violating effect in $^{229}$ThO is induced by the nuclear magnetic quadrupole moment. We have performed nuclear and molecular calculations to express this effect in terms of the strength constants of T,P-odd nuclear forces, neutron EDM, QCD vacuum angle $θ$, quark EDM and chromo-EDM.

physics.atom-ph↗

arXiv2014

Zeeman interaction in ThO $H^3Δ_1$ for the electron EDM search

The current limit on the electron's electric dipole moment, $|d_\mathrm{e}|<8.7\times 10^{-29} e {\cdotp} {\rm cm}$ (90% confidence), was set using the molecule thorium monoxide (ThO) in the $J=1$ rotational level of its $H ^3Δ_1$ electronic state [Science $\bf 343$, 269 (2014)]. This state in ThO is very robust against systematic errors related to magnetic fields or geometric phases, due in part to its $Ω$-doublet structure. These systematics can be further suppressed by operating the experiment under conditions where the $g$-factor difference between the $Ω$-doublets is minimized. We consider the $g$-factors of the ThO $H^3Δ_1$ state both experimentally and theoretically, including dependence on $Ω$-doublets, rotational level, and external electric field. The calculated and measured values are in good agreement. We find that the $g$-factor difference between $Ω$-doublets is smaller in $J=2$ than in $J=1$, and reaches zero at an experimentally accessible electric field. This means that the $H,J=2$ state should be even more robust against a number of systematic errors compared to $H,J=1$.

physics.atom-ph↗

arXiv2013

Enhanced effects of temporal variation of the fundamental constants in ^{2}Π_{1/2} term diatomic molecules: ^{207}Pb^{19}F

The ^{207}Pb^{19}F molecule possesses a pair of closely spaced levels of opposite parity due to near cancelation of the omega-type doubling and magnetic hyperfine interaction energy shifts [Alphei et al., Phys. Rev. A, 83, 040501 (2011)]. We calculate the dependence of the transition frequency between these levels on the fine-structure constant (α) and the ratio of the light quark masses to the quantum chromodynamics scale (m_q/Λ_{QCD}), and find large enhancement of the relative effects of the variation of these parameters. Note that the effect of α-variation appears mainly due to the significant difference in the relativistic correction factors for the fine and hyperfine structure. We hence suggest the ^{207}Pb^{19}F molecule as a candidate system for investigating the possible temporal variation of the fundamental constants.

physics.atom-ph↗

arXiv2013

Theoretical study of ThO for the electron electric dipole moment search

An experiment to search for the electron electric dipole moment (\eEDM) on the metastable $H^3Δ_1$ state of ThO molecule was proposed and now in the final stage of preparation by the ACME collaboration [http://www.electronedm.org]. To interpret the experiment in terms of \eEDM\ and dimensionless constant $k_{T,P}$ characterizing the strength of the scalar T,P-odd electron-nucleus neutral current interaction, an accurate theoretical study of effective electric field on electron, Eeff, and $W_{T,P}$ constants is required. We report calculation of \Eeff\ (84 GV/cm) and a parameter of T,P-odd scalar neutral currents interaction, $W_{T,P}$ (116 kHz), together with the hyperfine structure constant, molecule frame dipole moment and $H^3Δ_1\to X^1Σ^+$ transition energy, which can serve as a measure of reliability of the obtained \Eeff\ and $W_{T,P}$ values. Besides, our results include a parity assignment and evaluation of the electric-field dependence for the magnetic $g$ factors for the $Ω$-doublets of $H^3Δ_1$.

physics.chem-ph↗

arXiv2013

Centrifugal correction to hyperfine structure constants in the ground state of lead monofluoride, PbF

The sensitivity of the PbF molecule to the electron electric dipole moment has motivated detailed microwave spectroscopy. Previous theoretical approaches cannot fully explain the spectra. In turn, the explanation from "first principles" is very important both for molecular theory and for confirmation of the correctness of the interpretation of experimental data obtained with high precision. All of these issues are decisively addressed here. We have determined centrifugal correction parameters for hyperfine structure constants, both on lead and fluorine nuclei, of the $X^2Π_{1/2}$ state of lead monofluoride. These parameters were obtained by fitting experimentally observed pure rotational transitions and from {\it ab initio} calculations. We show that taking this correction into account is required to reproduce the experimental transition energies obtained in [Phys. Rev. A 84, 022508 (2011)].

physics.atom-ph↗

arXiv2012

The generalized relativistic effective core potential calculations of the adiabatic potential curve and spectroscopic constants for the ground electronic state of the Ca2

The potential curve, dissociation energy, equilibrium internuclear distance, and spectroscopic constants for the ground state of the Ca2 molecule are calculated with the help of the generalized relativistic effective core potential method which allows one to exclude the inner core electrons from the calculations and to take the relativistic effects into account effectively. Extensive generalized correlation basis sets were constructed and employed. The scalar relativistic coupled cluster method with corrections for high-order cluster amplitudes is used for the correlation treatment. The obtained results are analyzed and compared with the experimental data and corresponding all-electron results.

physics.chem-ph↗

arXiv2012

Optical Spectroscopy of Tungsten Carbide for Uncertainty Analysis in Electron Electric Dipole Moment Search

We perform laser induced fluorescence(LIF) spectroscopy on a pulsed supersonic beam of tungsten carbide(WC) molecules, which has been proposed as a candidate molecular system for a permanent Electric Dipole Moment(EDM) search of the electron in its rovibrational ground state of the X3Delta1 state. In particular, [20.6]Omega=2, v'=4 <- X3Delta1,v"=0 transition at 485nm was used for the detection. The hyperfine structure and the Omega-doublet of the transition are measured, which are essential for estimating the size of the potential systematic uncertainties for electron EDM measurement. For further suppression of the systematic uncertainty, an alternative electron EDM measurement scheme utilizing the g factor crossing point of the Omega-doublet levels is discussed. On the other hand, flux and internal temperature of the molecular beam are characterized, which sets the limit on the statistical uncertainty of the electron EDM experiment. With the given results, the prospect of electron EDM experiment with the X3Delta1 state of WC molecule is discussed.

physics.atom-ph↗

arXiv2011

Noether and Belinfante corrected types of currents for perturbations in the Einstein-Gauss-Bonnet gravity

In the framework of an arbitrary $D$-dimensional metric theory, perturbations are considered on arbitrary backgrounds that are however solutions of the theory. Conserved currents for perturbations are presented following two known prescriptions: canonical Nœther theorem and Belinfante symmetrization rule. Using generalized formulae, currents in the Einstein-Gauss-Bonnet (EGB) gravity for arbitrary types of perturbations on arbitrary curved backgrounds (not only vacuum) are constructed in an explicit covariant form. Special attention is paid to the energy-momentum tensors for perturbations which are an important part in the structure of the currents. We use the derived expressions for two applied calculations: a) to present the energy density for weak flat gravitational waves in $D$-dimensional EGB gravity; b) to construct the mass flux for the Maeda-Dadhich-Molina 3D radiating black holes of a Kaluza-Klein type in 6D EGB gravity.

gr-qc↗

arXiv2010

Hyperfine and Zeeman interactions of the $a(1)[^3Σ^+_1]$ state of PbO

The role of the interaction with the nearest electronic state $^3Σ^+_{0^-}$ on the hyperfine structure and magnetic properties of the $a(1)[^3Σ^+_1]$ state of PbO is assessed. The accounting for this contribution leads to difference between $g$-factors of the $J=1$ $Ω$-doublet levels, $ Δg = 37\times10^{-4}$, that is in a good agreement with the experimental datum $ Δg = 30(8)\times10^{-4}$. The contribution of this interaction rapidly grows with $J$. For $J=30$ the difference of $g$-factors of $Ω$-doublet states reaches 100%; for hyperfine constants it is 18%. These differences also depend on the electric field and for $E=11$ V/cm for $^{207}$PbO the difference in $g$-factors turn to zero. The latter is important for suppressing systematic effects in the electron electric dipole moment search experiment.

physics.atom-ph↗