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FrPNC @ TRIUMF Atomic Parity Violation in Francium

Explore how the FrPNC collaboration investigates Atomic Parity Violation in Francium as a unique probe of the Weak Interaction. The workshop held in Rome showcased research on nuclear spin-independent and -dependent processes, including Anapole moments and electron-quark couplings. Discover how testing these mechanisms in Francium can reduce experimental systematics and improve theoretical uncertainties in atomic and nuclear theories. Through precise measurements and innovative approaches, the search for new physics in Francium continues to evolve, shedding light on fundamental interactions in the nucleus.

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FrPNC @ TRIUMF Atomic Parity Violation in Francium

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  1. FrPNC @ TRIUMF Atomic Parity Violation in Francium Seth Aubin College of William and Mary PAVI 2011 Workshop La Sapienza University, Rome

  2. FrPNC collaboration S. Aubin (College of William and Mary) J. A. Behr, K. P. Jackson, M. R. Pearson (TRIUMF) V. V. Flambaum (U. of New South Wales, Australia) E. Gomez (U. Autonoma de San Luis Potosi, Mexico) G. Gwinner, R. Collister (U. of Manitoba) D. Melconian (Texas A&M) L. A. Orozco, J. Zhang (U. of Maryland at College Park) G. D. Sprouse (SUNY Stony Brook) Y. Zhao (Shanxi U., China) Funding

  3. e- e- e- e-  Z0 W,Z0exchange in nucleus N N N N Atomic Parity Violation: Basic Processes e- e-  N N Standard Electromagnetic Interaction (parity conserving) Z0 exchange Electron-Nucleon PNC (nuclear spin-independent) Intra-nuclear PNC Anapole moment (nuclear spin-dependent)

  4. e- e- e- e-  Z0 W,Z0exchange in nucleus N N N N Atomic Parity Violation: Basic Processes e- e- PNC PNC  N N Standard Electromagnetic Interaction (parity conserving) Z0 exchange Electron-Nucleon PNC (nuclear spin-independent) Intra-nuclear PNC Anapole moment (nuclear spin-dependent)

  5. e- e- Z0 G = Fermi constant = 10-5/mp2 Proton: Neutron: N N Z0 exchange Electron-Nucleon PNC (nuclear spin-independent) Motivation 1: Nuclear Spin-Independent PNC Ae The Hamiltonian for this interaction: (infinitely heavy nucleon approximation) VN [Standard Model values for 1, (p,n)]

  6. e- e- Ae Z0 VN nucleons nucleons Motivation 1: Nuclear Spin-Independent PNC For a nucleus with Z protons and N neutrons: Qweak = weak charge of nucleus  -N = 2(1,p Z + 1,n N) Z0 exchange Electron-Nucleons PNC (nuclear spin-independent)

  7. Motivation 1: Testing and Probing the Weak Interaction Parity Violation = Unique Probe of Weak Interaction Atomic PNC (APV) experiments test and constrain the Standard Model

  8. Effective e--quark couplings C1u & C1d Weak mixing angle [figure from Bentz et al.Phys. Lett. B693, 462 (2010)] [figure from Young et al., Phys. Rev. Lett.99, 122003 (2007)] Motivation 1: Testing and Probing the Weak Interaction Parity Violation = Unique Probe of Weak Interaction Atomic PNC (APV) experiments test and constrain the Standard Model

  9. Parity forbidden transitions become possible (slightly) !!!  Francium advantage: 18 relativistic enhancement factor Atomic PNC  Electron wavefunction does not have a definite parity !!!

  10. Searching for New Physics Francium can reduce experimental systematics ! … what about theoretical systematics ? • Atomic theory uncertainties are continually improving !!! (~1%) (Safronova, Derevianko, Flambaum, etc …) • Nuclear theory uncertainty is dominated neutron skin radius.  Determine neutron skin in 208Pb (PREX experiment, RCNP).  1% Rneutron error gives a 0.3-0.6% uncertainty on Fr PNC.(Brown PRL 2009)  Rskin varies by a factor of 2 for 209-221Fr.  Hyperfine anomaly measurements inform Rneutron(Grossman PRL 1999).

  11. Searching for New Physics Francium can reduce experimental systematics ! … what about theoretical systematics ? • Atomic theory uncertainties are continually improving !!! (~1%) (Safronova, Derevianko, Flambaum, etc …) • Nuclear theory uncertainty is dominated neutron skin radius.  Determine neutron skin in 208Pb (PREX experiment, RCNP).  1% Rneutron error gives a 0.3-0.6% uncertainty on Fr PNC.(Brown PRL 2009)  Rskin varies by a factor of 2 for 209-221Fr.  Hyperfine anomaly measurements inform Rneutron(Grossman PRL 1999). • Use isotope ratios to cancel out theoretical uncertainties.  Rskin for different isotopes are correlated. (Brown, Derevianko, and Flambaum, PRL 2009; Dieperink and Van Isacker EPJA 2009)  Improved sensitivity to new physics (primarily proton couplings). • Alternative: use atomic PNC to measure Rneutron.

  12. e- e- e- e-  Z0  W,Z0exchange in nucleus N N N N Intra-nuclear PNC Anapole moment Motivation 2: Nuclear Spin-Dependent PNC e- e- Ae Ve Z0 VN AN N N Z0 exchange Electron-Nucleon PNC (vector) (axial) Hyperfine Interaction + NSI - Z0 exchange (nuclear spin-dependent)

  13. [A. Weis, U. Fribourg (2003)] What’s an Anapole Moment ? Answer: Electromagnetic moment produced by a toroidal current.  Time-reversal conserving.  PNC toroidal current.  Localized moment, contact interaction.

  14. e- e-  W,Z0exchange in nucleus N N Anapole moment Motivation 2: Nuclear Anapole Moment For heavy atoms, the anapole moment term dominates.

  15. e- e-  W,Z0exchange in nucleus N N Anapole moment Motivation 2: Nuclear Anapole Moment For heavy atoms, the anapole moment term dominates.

  16. e- e-  W,Z0exchange in nucleus characterize the nucleon-nucleus weak potential. N N Anapole moment Motivation 2: Nuclear Anapole Moment For heavy atoms, the anapole moment term dominates.

  17. Measure anapole in a string of Fr isotopes [Haxton et al., Phys. Rev. C 65, 045502 (2002) and 6Li(n,) from Vesna Phys. Rev. C 77, 035501 (2008)] Motivation 2: Isovector & Isoscalar Nucleon Couplings Cs anapole (Boulder) and low-energy nuclear PNC measurements produce conflicting constraints on weak meson-nucleon couplings. (Desplanques, Donoghue, and Holstein model) Need to understand nuclear structure better.

  18. N=even N=odd [Haxton et al., Phys. Rev. C65, 045502 (2002) and 6Li(n,) from Vesna Phys. Rev. C77, 035501 (2008)] Motivation 2: Isovector & Isoscalar Nucleon Couplings Cs anapole (Boulder) and low-energy nuclear PNC measurements produce conflicting constraints on weak meson-nucleon couplings. (Desplanques, Donoghue, and Holstein model) Francium isotopes provide orthogonal constraints !!! [Behr and Gwinner, J. Phys. G36, 033101 (2009)]

  19. + dipole trap FrPNC program: Atomic PNC Experiments in Francium • Fr is the heaviest of the simple (alkali atoms).  Electronic structure is well understood.  Particle/nuclear physics can be reliably extracted. • Fr has large (relatively) PNC mixing.  PNC ~ 10-10 is still really really small … we’re going to need a lot of Fr. • Fr does not exist sufficiently in nature.

  20. + dipole trap FrPNC program: Atomic PNC Experiments in Francium • Fr is the heaviest of the simple (alkali atoms).  Electronic structure is well understood.  Particle/nuclear physics can be reliably extracted. • Fr has large (relatively) PNC mixing.  PNC ~ 10-10 is still really really small … we’re going to need a lot of Fr. • Fr does not exist sufficiently in nature.

  21. Excitation to continuum (ionization) 506 nm 506 nm 1.3 m 1.7 m 718 nm 817 nm Atomic PNC in Fr (NSI) Wieman method: EStark k Fr atoms (trapped) BDC M1 is strongly suppressed.

  22. Excitation to continuum (ionization) 506 nm 506 nm 1.3 m 1.7 m Amplification by Stark Interference 718 nm 817 nm Atomic PNC in Fr (NSI) Wieman method: EStark k Fr atoms (trapped) BDC M1 is strongly suppressed.

  23. Excitation to continuum (ionization) 506 nm 506 nm 1.3 m 1.7 m Amplification by Stark Interference 718 nm 817 nm Statistical Sensitivity: Atomic PNC in Fr (NSI) Wieman method: EStark k Fr atoms (trapped) BDC M1 is strongly suppressed.

  24. Excitation to continuum (ionization) 506 nm 506 nm 1.3 m 1.7 m Amplification by Stark Interference 718 nm 817 nm Statistical Sensitivity: Atomic PNC in Fr (NSI) Wieman method: EStark k Fr atoms (trapped) BDC Alternative method: PNC energy shift, M.-A. Bouchiat, PRL 100, 123003 (2008). M1 is strongly suppressed.

  25. M1 E1PNC Anapole Moment in Fr New Method:Anapole can be measured by driving a parity forbidden E1 transition between two hyperfine states with F=1, mF=1. /2 pulse preparation: the atoms are prepared in a 50/50 superposition of the initial and final states (equivalent to interference amplification) before application of the microwave driving E-field.

  26. M1 E1PNC Anapole Moment in Fr New Method:Anapole can be measured by driving a parity forbidden E1 transition between two hyperfine states with F=1, mF=1. /2 pulse preparation: the atoms are prepared in a 50/50 superposition of the initial and final states (equivalent to interference amplification) before application of the microwave driving E-field.

  27. M1 E1PNC for Emicrowave~0.5 kV/cm and 106 atoms. [E. Gomez et al., Phys. Rev. A75, 033418 (2007)] Anapole Moment in Fr New Method:Anapole can be measured by driving a parity forbidden E1 transition between two hyperfine states with F=1, mF=1. /2 pulse preparation: the atoms are prepared in a 50/50 superposition of the initial and final states (equivalent to interference amplification) before application of the microwave driving E-field.

  28. M1 suppression M1 hyperfine transition mimics E1PNC and must be suppressed by 109 !!! a) Suppress Bmicrowave: Fabry-Perot cavity: Place atoms at B node, E anti-node.  Suppression: 510-3.

  29. M1 suppression M1 hyperfine transition mimics E1PNC and must be suppressed by 109 !!! a) Suppress Bmicrowave: Fabry-Perot cavity: Place atoms at B node, E anti-node.  Suppression: 510-3. b) Selection rule: Bmicrowave // BDC can only drive mF=0 transitions.  Suppression:10-3.

  30. M1 suppression M1 hyperfine transition mimics E1PNC and must be suppressed by 109 !!! a) Suppress Bmicrowave: Fabry-Perot cavity: Place atoms at B node, E anti-node.  Suppression: 510-3. b) Selection rule: Bmicrowave // BDC can only drive mF=0 transitions.  Suppression:10-3. c) Dynamical averaging: Atomic motion around the B node, averages away M1. … ERF dipole force provides some self-centering on anti-node.

  31. Simulating the PNC Interference APNC simulated with 10-4 M1 transition Simulating Fr Anapole with Rb 180 ms coherence time in blue-detuned dipole trap (/2 pulse with Rb) [Data by D. Sheng (Orozco Group, U. of Maryland)]

  32. FrPNC: Current Status Present:Construction of an on-line, shielded laser laboratory at TRIUMF with 100 db RF suppression. Fall 2011: (13 shifts in December) Installation of high efficiency MOT (from U. of Maryland). 2012: Physics starts !!! Hyperfine anomaly (Pearson), 7S-8S M1 (Gwinner), Anapole (Orozco), optical PNC (Gwinner), …

  33. FrPNC: Schedule

  34. FrPNC collaboration S. Aubin (College of William and Mary) J. A. Behr, K. P. Jackson, M. R. Pearson (TRIUMF) V. V. Flambaum (U. of New South Wales, Australia) E. Gomez (U. Autonoma de San Luis Potosi, Mexico) G. Gwinner, R. Collister (U. of Manitoba) D. Melconian (Texas A&M) L. A. Orozco, J. Zhang (U. of Maryland at College Park) G. D. Sprouse (SUNY Stony Brook) Y. Zhao (Shanxi U., China) Funding

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