Abstract

Collisional relaxation of 2SnS and 2SnD superposition states in atomic Li vapor is measured with the trilevel photon-echo technique. Principal quantum numbers range from n = 4 to well into the Rydberg regime with n = 30. For the rare-gas perturbers (He, Ne, Ar, Kr, and Xe) the variation of collisional cross section with n is considerably weaker than that previously found with Na vapor.

© 1986 Optical Society of America

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  1. C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
    [CrossRef]
  2. M. A. Mazing, P. D. Serapinas, Zh. Eksp. Teor. Fiz 60, 5419 (1971).
  3. F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
    [CrossRef]
  4. K. H. Weber, Ph.D. dissertion (Christian-Albrechts-Universitat, Kiel, Federal Republic of Germany, 1981) (unpublished).
  5. K. H. Weber, K. Niemax, Z. Phys. A 307, 12 (1982).
  6. A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
    [CrossRef]
  7. R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
    [CrossRef]
  8. R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
    [CrossRef]
  9. R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
    [CrossRef]
  10. P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).
  11. E. Lindholm, Ark. Mat. Astron. Fys. 32, A1 (1945).
  12. A. Unsöld, Physik der Sternatmosparen (Springer-Verlag, Berlin, 1968).
  13. E. Fermi, Nuovo Cimento 11, 157 (1934).
    [CrossRef]
  14. C. Reinsbergf, Z. Phys. 93, 416 (1935); Z. Phys. 105, 4660 (1937).
    [CrossRef]
  15. V. A. Alekseev, I. I. Sobelman, Zh. Eksp. Teor. Fiz 49, 1274 (1965) [Sov. Phys. JETP 22, 882 (1966)].
  16. M. H. Mittleman, Phys. Rev. 162, 81 (1967).
    [CrossRef]
  17. M. Matsuzawa, J. Phys. B 8, L382 (1975).
    [CrossRef]
  18. G. K. Ivanov, Opt. Spektrosk. 40, 965 (1976) [Opt. Spectrosc. (USSR) 40, 554 (1976)].
  19. A. Omont, J. Phys. (Paris) 38, 1343 (1977).
    [CrossRef]
  20. P. W. Anderson, Phys. Rev. 76, 647 (1949).
    [CrossRef]
  21. D. K. Watson, Phys. Rev. A 28, 40 (1983).
    [CrossRef]
  22. C. Jaffe, R. P. Reinhardt, J. Chem. Phys. 60, 1285 (1977).
    [CrossRef]
  23. W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
    [CrossRef]
  24. T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
    [CrossRef]
  25. M. Harnafi, B. Dubreuil, Phys. Rev. A 31, 1375 (1985).
    [CrossRef] [PubMed]

1985 (1)

M. Harnafi, B. Dubreuil, Phys. Rev. A 31, 1375 (1985).
[CrossRef] [PubMed]

1983 (1)

D. K. Watson, Phys. Rev. A 28, 40 (1983).
[CrossRef]

1982 (3)

K. H. Weber, K. Niemax, Z. Phys. A 307, 12 (1982).

R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
[CrossRef]

P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).

1981 (1)

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

1980 (1)

R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
[CrossRef]

1979 (1)

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

1977 (5)

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

A. Omont, J. Phys. (Paris) 38, 1343 (1977).
[CrossRef]

C. Jaffe, R. P. Reinhardt, J. Chem. Phys. 60, 1285 (1977).
[CrossRef]

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
[CrossRef]

1976 (1)

G. K. Ivanov, Opt. Spektrosk. 40, 965 (1976) [Opt. Spectrosc. (USSR) 40, 554 (1976)].

1975 (1)

M. Matsuzawa, J. Phys. B 8, L382 (1975).
[CrossRef]

1971 (1)

M. A. Mazing, P. D. Serapinas, Zh. Eksp. Teor. Fiz 60, 5419 (1971).

1967 (1)

M. H. Mittleman, Phys. Rev. 162, 81 (1967).
[CrossRef]

1965 (1)

V. A. Alekseev, I. I. Sobelman, Zh. Eksp. Teor. Fiz 49, 1274 (1965) [Sov. Phys. JETP 22, 882 (1966)].

1949 (1)

P. W. Anderson, Phys. Rev. 76, 647 (1949).
[CrossRef]

1945 (1)

E. Lindholm, Ark. Mat. Astron. Fys. 32, A1 (1945).

1935 (1)

C. Reinsbergf, Z. Phys. 93, 416 (1935); Z. Phys. 105, 4660 (1937).
[CrossRef]

1934 (2)

E. Fermi, Nuovo Cimento 11, 157 (1934).
[CrossRef]

C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
[CrossRef]

Alekseev, V. A.

V. A. Alekseev, I. I. Sobelman, Zh. Eksp. Teor. Fiz 49, 1274 (1965) [Sov. Phys. JETP 22, 882 (1966)].

Anderson, P. W.

P. W. Anderson, Phys. Rev. 76, 647 (1949).
[CrossRef]

Beach, R.

R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
[CrossRef]

Berman, P. R.

P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

Biraben, F.

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

Brándt, A. P.

C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
[CrossRef]

Cagnac, B.

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

Chen, T. J.

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

Cooke, W. E.

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

Dubreuil, B.

M. Harnafi, B. Dubreuil, Phys. Rev. A 31, 1375 (1985).
[CrossRef] [PubMed]

Edelstein, S. A.

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
[CrossRef]

Fermi, E.

E. Fermi, Nuovo Cimento 11, 157 (1934).
[CrossRef]

Flusberg, A.

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

Friedberg, R.

R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
[CrossRef]

Fuchtbauer, C.

C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
[CrossRef]

Gallagher, T. F.

T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
[CrossRef]

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

Giacobino, E.

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

Grynberg, G.

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

Harnafi, M.

M. Harnafi, B. Dubreuil, Phys. Rev. A 31, 1375 (1985).
[CrossRef] [PubMed]

Hartmann, S. R.

R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
[CrossRef]

P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
[CrossRef]

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

Hill, R. M.

T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
[CrossRef]

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

Ivanov, G. K.

G. K. Ivanov, Opt. Spektrosk. 40, 965 (1976) [Opt. Spectrosc. (USSR) 40, 554 (1976)].

Jaffe, C.

C. Jaffe, R. P. Reinhardt, J. Chem. Phys. 60, 1285 (1977).
[CrossRef]

Kachru, R.

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
[CrossRef]

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

Lindholm, E.

E. Lindholm, Ark. Mat. Astron. Fys. 32, A1 (1945).

Matsuzawa, M.

M. Matsuzawa, J. Phys. B 8, L382 (1975).
[CrossRef]

Mazing, M. A.

M. A. Mazing, P. D. Serapinas, Zh. Eksp. Teor. Fiz 60, 5419 (1971).

Mittleman, M. H.

M. H. Mittleman, Phys. Rev. 162, 81 (1967).
[CrossRef]

Mossberg, T.

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

Mossberg, T. W.

P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
[CrossRef]

Niemax, K.

K. H. Weber, K. Niemax, Z. Phys. A 307, 12 (1982).

Omont, A.

A. Omont, J. Phys. (Paris) 38, 1343 (1977).
[CrossRef]

Reinhardt, R. P.

C. Jaffe, R. P. Reinhardt, J. Chem. Phys. 60, 1285 (1977).
[CrossRef]

Reinsbergf, C.

C. Reinsbergf, Z. Phys. 93, 416 (1935); Z. Phys. 105, 4660 (1937).
[CrossRef]

Schultz, P.

C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
[CrossRef]

Serapinas, P. D.

M. A. Mazing, P. D. Serapinas, Zh. Eksp. Teor. Fiz 60, 5419 (1971).

Sobelman, I. I.

V. A. Alekseev, I. I. Sobelman, Zh. Eksp. Teor. Fiz 49, 1274 (1965) [Sov. Phys. JETP 22, 882 (1966)].

Unsöld, A.

A. Unsöld, Physik der Sternatmosparen (Springer-Verlag, Berlin, 1968).

Watson, D. K.

D. K. Watson, Phys. Rev. A 28, 40 (1983).
[CrossRef]

Weber, K. H.

K. H. Weber, K. Niemax, Z. Phys. A 307, 12 (1982).

K. H. Weber, Ph.D. dissertion (Christian-Albrechts-Universitat, Kiel, Federal Republic of Germany, 1981) (unpublished).

Ark. Mat. Astron. Fys. (1)

E. Lindholm, Ark. Mat. Astron. Fys. 32, A1 (1945).

J. Chem. Phys. (1)

C. Jaffe, R. P. Reinhardt, J. Chem. Phys. 60, 1285 (1977).
[CrossRef]

J. Phys. (Paris) (1)

A. Omont, J. Phys. (Paris) 38, 1343 (1977).
[CrossRef]

J. Phys. B (2)

M. Matsuzawa, J. Phys. B 8, L382 (1975).
[CrossRef]

F. Biraben, B. Cagnac, E. Giacobino, G. Grynberg, J. Phys. B 10, 2369 (1977).
[CrossRef]

Nuovo Cimento (1)

E. Fermi, Nuovo Cimento 11, 157 (1934).
[CrossRef]

Opt. Spektrosk. (1)

G. K. Ivanov, Opt. Spektrosk. 40, 965 (1976) [Opt. Spectrosc. (USSR) 40, 554 (1976)].

Phys. Rev. (2)

P. W. Anderson, Phys. Rev. 76, 647 (1949).
[CrossRef]

M. H. Mittleman, Phys. Rev. 162, 81 (1967).
[CrossRef]

Phys. Rev. A (8)

D. K. Watson, Phys. Rev. A 28, 40 (1983).
[CrossRef]

W. E. Cooke, T. F. Gallagher, R. M. Hill, S. A. Edelstein, Phys. Rev. A 16, 1141 (1977).
[CrossRef]

T. F. Gallagher, S. A. Edelstein, R. M. Hill, Phys. Rev. A 15, 1945 (1977).
[CrossRef]

M. Harnafi, B. Dubreuil, Phys. Rev. A 31, 1375 (1985).
[CrossRef] [PubMed]

P. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 2250 (1982).

A. Flusberg, R. Kachru, T. Mossberg, S. R. Hartmann, Phys. Rev. A 19, 1607 (1979).
[CrossRef]

R. Kachru, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 21, 1124 (1980).
[CrossRef]

R. Beach, S. R. Hartmann, R. Friedberg, Phys. Rev. A 25, 2658 (1982).
[CrossRef]

Phys. Rev. Lett. (1)

R. Kachru, T. J. Chen, S. R. Hartmann, T. W. Mossberg, P. R. Berman, Phys. Rev. Lett. 47, 13 (1981).
[CrossRef]

Z. Phys. (2)

C. Fuchtbauer, P. Schultz, A. P. Brándt, Z. Phys. 90, 403 (1934).
[CrossRef]

C. Reinsbergf, Z. Phys. 93, 416 (1935); Z. Phys. 105, 4660 (1937).
[CrossRef]

Z. Phys. A (1)

K. H. Weber, K. Niemax, Z. Phys. A 307, 12 (1982).

Zh. Eksp. Teor. Fiz (2)

V. A. Alekseev, I. I. Sobelman, Zh. Eksp. Teor. Fiz 49, 1274 (1965) [Sov. Phys. JETP 22, 882 (1966)].

M. A. Mazing, P. D. Serapinas, Zh. Eksp. Teor. Fiz 60, 5419 (1971).

Other (2)

K. H. Weber, Ph.D. dissertion (Christian-Albrechts-Universitat, Kiel, Federal Republic of Germany, 1981) (unpublished).

A. Unsöld, Physik der Sternatmosparen (Springer-Verlag, Berlin, 1968).

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Figures (6)

Fig. 1
Fig. 1

(a) Energy levels in the trilevel-echo experiment. (b) Pulse sequence in the trilevel-echo experiment. (c) Recoil diagram for the trilevel-echo experiment.

Fig. 2
Fig. 2

(a) Pulse-propagation direction for the trilevel-echo experiment. (b) Pulse polarization used in the trilevel-echo experiment.

Fig. 3
Fig. 3

(a) Schematic diagram of experimental apparatus for n < 7. PD, photodiode; WP, wave plate; GP, Glan prism; DC, dichroic; BF, band filter; SF, spatial filter. (b) Schematic diagram of experimental apparatus for n > 7. KDP-D, SHG crystal; WC, white-cell optical-delay line.

Fig. 4
Fig. 4

Li-2SnS (nD) collisional cross section versus principal quantum number n for He, Ne, Ar, Kr, and Xe. The dashed line is Van der Waals’s cross section given by the Lindhold approach. The solid curves are Omont’s theory, and the dotted curves are the extension of Omont’s theory to the low-n regime.

Fig. 5
Fig. 5

Collisional cross section for Li-2S–4S transition measured at various time separations τ = t3t2 using the trilevel-echo technique.

Fig. 6
Fig. 6

Na-3SnS data taken from Ref. 7. The solid curves are Omont’s theory, and the dotted curves are the extension of Omont’s theory to the low-n regime.

Tables (4)

Tables Icon

Table 1 Cross Sections (× 10−16 cm2)a

Tables Icon

Table 2 Cross Sections (× 10−16 cm2)a

Tables Icon

Table 3 α and L Values of Scattering Lengths for Electrons by Noble Gases and of Polarizabilities of Noble Gases in Atomic Units

Tables Icon

Table 4 nD-nF Energy Interval

Equations (25)

Equations on this page are rendered with MathJax. Learn more.

t e = t 1 + ( t 3 - t 2 ) K 2 / K 1 ,
K e = K 1 - K 2 + K 3 .
I e = I e o exp [ - 2 Γ 20 τ ] exp [ - 2 Γ 10 ( t e - τ ) ] ,
Γ i j = Γ i j 0 + η i j P ,
I ( P ) = I e ( P = 0 ) exp ( - β P ) = I e ( 0 ) exp ( - 2 σ eff v t e N ) ,
σ eff = 0.002762 ( μ T ) 1 / 2 β / [ K 2 / K 1 ) τ ] cm 2 .
σ eff = σ 23 ( τ / t e ) + σ 12 [ ( t e - τ ) / t e ] ,
σ 2 S - n l = σ eff ( K 2 / K 1 ) - σ 2 S - 2 P [ ( K 2 / K 1 ) - 1 ] .
σ = 2.71 π ( C 6 / v ) 2 / 5 .
C 6 = ( e 2 a 2 / 2 h ) α n * 2 [ 5 n * 2 + 1 - 3 l ( l + 1 ) ] ,
V ( R ) = - [ α / ( 2 R 4 ) ] + L h ( R ) / [ 2 π n * 3 R 2 ( 2 / R - 1 / n * 2 ) 1 / 2 ] ,
h ( R ) = 1 if R < 2 n * 2 = 0 if R 2 n * 2 .
S = exp ( - i W ) ,
W = - V ( R ) d t ,
W - π α / ( 4 v b 3 ) + 0.53 L h ( b ) / ( n * 3 v b 1 / 2 ) ,
σ 0 W 2 b d b = π b w 2 + π b w W 2 b d b ,
σ = σ F + σ F .
σ P 3 π / 2 [ π α / ( 4 v 2 ) ] 2 / 3 = π b 1 2 .
b w = ½ [ 0.53 L / ( n * 3 v ) ] 2 = b 2 .
σ = π ( 4 b 2 n * 2 - b 2 2 ) ,             2 n * 2 > b 2 > b 1 ,
σ = π b 2 ( 2 n * 2 - b 1 ) + π b 1 2 ,             b 2 < b 1 .
σ = π 0 2 n * 2 W 2 b d b = π 0 2 n * 2 2 b d b = 4 π n * 4 .
σ p = 5.7 ( α / 2 v ) 2 / 3 .
Li ( n 2 D ) + R Li ( n 2 L , L > 2 ) + R + Δ E
σ p ~ ( α / v ) 2 / 3 ~ α 2 / 3 ( μ / T ) 1 / 3 .

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