1. Experiment vs theory for 3e - Li and 6e - Li 2 Nike Dattani & Bob Le Roy 2015 年 6 月 23 日

2. At what number of electrons, do you think agreement between experiment and theory collapses?

3. 1e - : H Hyperfine structure 142040575768(1) mHz (present best experiment) 1420452 (theory – QED) What’s missing is the effect of the nuclear structure

4. 1e - : Mu (p + in H is replaced by μ + ) Hyperfine structure 4463302780(50) Hz (experiment) 4463302880(550) Hz (theory – QED) 2e - : He Hyperfine structure 6739701177(16) Hz (experiment) 6739699930(1700) Hz (theory, QED + nuclear structure) Agreement possible because Hz precision, not mHz

6. 2e - : H 2 1975: Kolos & Wolniewicz (numerical soln to Schroedinger Eqn) More recently: E v = 1 – E v = 0 4161.16632(18) cm -1 ( experiment ) 4161.16612(9) ( best theory )

7. 3e - : Li 2S2S 2P2P

8. Experiment: 14903.632061014 +/- 0.0000005003 cm -1 Theory: 14903.631765 +/- 0.000667 cm -1

9. Experiment: Theory:

10. 3e - : Li Energy (for lowest transition) Radiative lifetime ? V(r) = - C 3 / r 3 – C 6 / r 6 – C 8 / r 8 … Radiative lifetime : τ = ( 3ħ / 2C 3 ) ( λ / 2 π ) 3

11. Oldest experimental value ? Guess !

12. 1931 Loomis F.W. and Nusbaum R.E. Phys. Rev. 38 pg. 1447

13. University of Illinois Urbana-Champaign physics department: “Loomis Laboratory of Physics” Loomis was challenged in bringing top-notch physics talent to a university in the rural Midwest. When he approached Isaac Rabi, Rabi said "I love subways and I hate cows." Isaac Rabi While building the department, Loomis attracted John Bardeen (2 Nobel prizes) to join the staff, and had Polykarp Kusch (1 Nobel Prize) as his graduate student.John BardeenPolykarp Kusch YearNameNobel Prize 1923Du VigneaudNobel Prize in Chemistry 1929StanleyNobel Prize in Chemistry 1933KuschNobel Prize in Physics 1947KilbyNobel Prize in Physics 1957SchriefferNobel Prize in Physics 1969SharpNobel Prize in Chemistry ???? Ben McCall

14. 1931 Loomis F.W. and Nusbaum R.E. Phys. Rev. 38 pg. 1447

15. More recently: (Le Roy & Dattani) 2009: C 3 = 357829(8) “most accurate C 3 value for any molecule ever determined, by an order of magnitude” “landmark in diatomic spectral analysis” (2011 Mitroy et al.) Theory: 2009: C 3 = 357810.89(7) (finite-mass corrections) 2010: C 3 = 357773 (relativistic corrections) 2011: C 3 = 357773 (third order perturbation theory) Experiment: 2011: C 3 = 357557(78) 2013: C 3 = 357682.8(44) 2013: C 3 = 357835.2

16. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li  

17. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li   3e - is the largest number of e - that can be treated using explicitly correlated Slater wavefunctions

18. C 3 = 357835.2 C 3 = 357682.8(44) Previous talk

19. b-state has 4 spin-orbit daughter states: Spin-orbit coupling starts at r > 20 Angstroms

20. Short-range long-range:

21. b-state has 4 spin-orbit daughter states:

24. MLR potential for b-state with 2 u spin-orbit symmetry

25. vObs – Calc [ cm -1 ] 00.58 10.55 20.51 …… 42-0.93 43 44-1.07 …… 46-1.48 47-1.51 48-1.50 …… 57-1.09 58-0.95 …… 83-0.0010 84-0.0064

26. vObs – Calc [ cm -1 ] 00.58 10.55 20.51 …… 42-0.93 43 44-1.07 …… 46-1.48 47-1.51 48-1.50 …… 57-1.09 58-0.95 …… 83-0.0010 84-0.0064