1. Potentials for 4e - systems BeH+, BeD+ & BeT+ with - 4 th order QED in long-range, and - prediction for halo nucleonic 11 BeH + & 14 BeH + Lena C. M. Li Chun Fong, Grzegorz Lach, Robert J Le Roy & Nike Dattani 2015 年 6 月 23 日

2. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li 4e - : BeH + 5e - : BeH 6e - : Li 2   Error < 1.6 cm -1

3. vObs – Calc [ cm -1 ] 00.29 10.36 20.34 3 40.32 5 6 70.34 80.40 90.86 101.80 113.25 125.43

4. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li 4e - : BeH + 5e - : BeH 6e - : Li 2   Error < 1.8 cm -1 Error < 1.6 cm -1

5. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li 4e - : BeH + 5e - : BeH 6e - : Li 2   ??? Error < 1.8 cm -1 Error < 1.6 cm -1

6. A+A+ e-e- Rydberg Atom He p+p+ HeH +

7. He A+A+ e-e- p+p+ H Be + Rydberg Atom HeH + BeH +

8. Be + Rydberg Atom HeH + BeH + He p+p+ H V(r) = V polarization (r) + V dispersion,ad (r) + V dispersion,na (r)

9. HeH + Dipole polarizability of He Present best experimental value: α = 1.383759(13)

12. Hydrogen:

14. Cross-section of 11 Li is 3.16 fm similar to 208 Pb !!!

16. IsotopeHalf-life 4 Li91(9)×10 −24 s 5 Li370(30)×10 −24 s 6 LiStable 7 LiStable 8 Li840.3(9) ms 9 Li178.3(4) ms 10 Li2.0(5)×10 −21 s 10m1 Li3.7(15)×10 −21 s 10m2 Li1.35(24)×10 −21 s 11 Li8.75(14) ms 12 Li<10 ns Shell theory of atoms: When a shell is filled with electrons, the atom is extra stable Shell theory of nuclei: When a nuclear shell is filled with nucleons, the nucleus is extra stable

17. Molecule where at least one atom has a halo nucleus Never been made before Ground state of 11 Li has a half-life of only 8.75 ms ! Ground state of 11 Li lasts longer than first excited state of 7Li

18. Molecule where at least one atom has a halo nucleus Never been made before Ground state of 11 Li has a half-life of only 8.75 ms ! 11 Be has a half-life of 13.85 seconds !!!! 11 BeH and 11 BeH + : Newest candidates for first halo molecule

19. Need accurate predictions of energies Differences between 6,6 Li 2 and 7,7 Li 2 energies are given by corrections to BO approx. Extremely difficult ab initio (has been done for very few diatomic molecules so far, also not accurate) Given empirical potentials for 6,6 Li 2 and 7,7 Li 2, how accurately can we predict properties of 8,8 Li 2 ?

21. Li 2 Dattani & Le Roy, JMS, 268 pg 199-210 (2011) Gunton, Semczuk, Dattani, Madison, PRA 88, 062510 (2013) Semczuk, Li, Gunton, Haw, Dattani, Witz, Mills, Jones, Madison, PRA 87, 052505 (2013)

22. 1e - : Mu : H 2e - : He : H 2 : HeH + 3e - : Li 4e - : BeH + 5e - : BeH 6e - : Li 2   in progress Error < 1.8 cm -1 Error < 1.6 cm -1

23. 5e - :