Static and dynamic polarizability and the Stark and blackbody-radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 89, Issue 5, 2014, Pages

  Schiller, S ^a   Bakalov, D ^b   Bekbaev, A K ^c   Korobov, V I ^d  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

^c AL FARABI KAZAKH NATIONAL UNIVERSITY   (Kazakhstan)

^d JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNA RADIATION; MOLECULAR PHYSICS;

BLACKBODY RADIATION SHIFT; DYNAMIC POLARIZABILITIES; EXCITED ELECTRONIC STATE; FREQUENCY SHIFT; MOLECULAR HYDROGEN; POLARIZABILITIES; ROVIBRATIONAL LEVELS; ROVIBRATIONAL STATE;

IONS;

EID: 84902106505     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.89.052521     Document Type: Article

References (43)

1. B. Grémaud, D. Delande, and N. Billy, J. Phys. B 31, 383 (1998). JPAPEH 0953-4075 10.1088/0953-4075/31/3/008
2. V. I. Korobov, L. Hilico, and J.-Ph. Karr, Phys. Rev. Lett. 112, 103003 (2014), and references therein. PRLTAO 0031-9007 10.1103/PhysRevLett.112.103003
3. J. C. J. Koelemeij, B. Roth, A. Wicht, I. Ernsting, and S. Schiller, Phys. Rev. Lett. 98, 173002 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98. 173002
4. U. Fröhlich, B. Roth, P. Antonini, C. Lämmerzahl, A. Wicht, and S. Schiller, in Astrophysics, Clocks and Fundamental Constants, edited by S. G. Karshenboim and E. Peik, Lecture Notes in Physics, Vol. 648 (Springer, Berlin Heidelberg, 2004), p. 297.
5. S. Schiller and V. I. Korobov, Phys. Rev. A 71, 032505 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.032505
6. K. B. Jefferts, Phys. Rev. Lett. 23, 1476 (1969). PRLTAO 0031-9007 10.1103/PhysRevLett.23.1476
7. W. H. Wing, G. A. Ruff, W. E. Lamb, Jr., and J. J. Spezeski, Phys. Rev. Lett. 36, 1488 (1976). PRLTAO 0031-9007 10.1103/PhysRevLett.36.1488
8. A. Carrington, Mol. Phys. 72, 735 (1991). MOPHAM 0026-8976 10.1080/00268979100100531
9. S. Schiller and C. Lämmerzahl, Phys. Rev. A 68, 053406 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.053406
10. P. Blythe, B. Roth, U. Fröhlich, H. Wenz, and S. Schiller, Phys. Rev. Lett. 95, 183002 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.183002
11. U. Bressel, A. Borodin, J. Shen, M. Hansen, I. Ernsting, and S. Schiller, Phys. Rev. Lett. 108, 183003 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108. 183003
12. J. Shen, A. Borodin, M. Hansen, and S. Schiller, Phys. Rev. A 85, 032519 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.032519
13. D. Bakalov, V. I. Korobov, and S. Schiller, Phys. Rev. A 82, 055401 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.055401
14. D. Bakalov, V. I. Korobov, and S. Schiller, J. Phys. B 44, 025003 (2011) JPAPEH 0953-4075 10.1088/0953-4075/44/2/025003;
15. D. Bakalov, V. I. Korobov, and S. Schiller, J. Phys. B 45, 049501 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/4/049501
16. J.-P. Karr, V. I. Korobov, and L. Hilico, Phys. Rev. A 77, 062507 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.062507
17. D. Bakalov and S. Schiller, Appl. Phys. B 114, 213 (2014). APBOEM 0946-2171 10.1007/s00340-013-5703-z
18. J. C. J. Koelemeij, Phys. Chem. Chem. Phys. 13, 18844 (2011). PPCPFQ 1463-9076 10.1039/c1cp21204d
19. D. M. Bishop and B. Lam, Mol. Phys. 65, 679 (1988). MOPHAM 0026-8976 10.1080/00268978800101331
20. A. K. Bhatia and R. J. Drachman, Phys. Rev. A 61, 032503 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.032503
21. L. Hilico, N. Billy, B. Grémaud, and D. Delande, J. Phys. B. 34, 491 (2001). JPAPEH 0953-4075 10.1088/0953-4075/34/3/324
22. R. E. Moss and L. Valenzano, Mol. Phys. 100, 1527 (2002). MOPHAM 0026-8976 10.1080/00268970110117142
23. Z.-C. Yan, J.-Y. Zhang, and Y. Li, Phys. Rev. A 67, 062504 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.062504
24. J.-Ph. Karr, S. Kilic, and L. Hilico, J. Phys. B 38, 853 (2005). JPAPEH 0953-4075 10.1088/0953-4075/38/7/007
25. V. I. Korobov, Phys. Rev. A 61, 064503 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.064503
26. D. Bakalov and S. Schiller, Hyperfine Interact. 210, 25 (2012). HYINDN 0304-3843 10.1007/s10751-012-0569-8
27. S. Schiller, D. Bakalov, and V. I. Korobov [Phys. Rev. Lett. (to be published)].
28. H. Olivares Pilón and D. Baye, J. Phys. B 45, 235101 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/23/235101
29. This result was first presented at the 2nd COST IOTA Workshop on Cold Molecular Ions, Arosa (Switzerland), September 2013.
30. V. I. Korobov, L. Hilico, and J.-Ph. Karr, Phys. Rev. A 74, 040502 (R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.040502
31. J.-Ph. Karr, F. Bielsa, A. Douillet, J. Pedregosa Gutierrez, V. I. Korobov, and L. Hilico, Phys. Rev. A 77, 063410 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.063410
32. D. Bakalov, V. I. Korobov, and S. Schiller, Phys. Rev. Lett. 97, 243001 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.243001
33. A. Messiah, Quantum Mechanics (North Holland, Amsterdam, 1961), Vol. II, Appendix C, Sec. 15.
34. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
35. I. Roeggen, J. Phys. B 4, 168 (1971). JPAMA4 0022-3700 10.1088/0022-3700/4/2/004
36. Q.-L. Tian, L.-Y. Tang, Z.-X. Zhong, Z.-C. Yan, and T.-Y. Shi, J. Chem. Phys. 137, 024311 (2012). 10.1063/1.4733988
37. V. I. Korobov, Phys. Rev. A 74, 052506 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.052506
38. V. I. Korobov and Z.-X. Zhong, Phys. Rev. A 86, 044501 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.044501
39. R. E. Moss, Mol. Phys. 78, 371 (1993). MOPHAM 0026-8976 10.1080/00268979300100291
40. T. N. Rescigno and V. McKoy, Phys. Rev. A 12, 522 (1975). 0556-2791 10.1103/PhysRevA.12.522
41. V. I. Korobov, J. Phys. B 37, 2331 (2004). JPAPEH 0953-4075 10.1088/0953-4075/37/11/010
42. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevA.89.052521 for more information. Each line of the data files has the format: (Equation presented) (in atomic units), (Equation presented) (in atomic units), (Equation presented) (in atomic units). Note that for (Equation presented)and (Equation presented) there is a difference of 0.0001 atomic units between the (Equation presented) value of the data file and the value in Table I. This arises from the numerical procedure used, which was optimized towards good accuracy for high (Equation presented) up to the continuum threshold.
43. H. O. Pilón (private communication).