Skip to main content
Log in

Changes in mean-square nuclear charge radii in Er from optical isotope shifts by laser-atomic-beam spectroscopy

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

High-resolution laser-atomic-beam spectroscopy has been applied to investigate transitions 4f 12 6s 2−4f 11 5d6s 2 and transitions starting from metastable states of the configuration 4f 11 5d6s 2 of Er I. Precise values for the transition isotope shifts and for the hyperfine constants of 10 levels belonging to the configuration 4f 11 5d6s2 and 9 levels belonging to high lying even-parity levels have been determined. From the isotope shift data relative changes of mean-square nuclear charge radiiδr 2〉 for all the stable Er isotopes have been deduced: ¦168,170¦ 1, ¦166,168¦ 0.984(15), ¦164,166¦ 0.984(15), ¦162,164¦ 1.198(18), ¦166,167¦ 0.3357(50). Absoluteδr 2〉 values have been obtained by calibrating the optical data with a value from muonic x-ray spectroscopy: ¦168,170¦ 0.121 (10) fm2. The odd-even staggering parameter for167Er has been determined: 0.683(10). Our results are compared with experimental data from electronic x-ray spectroscopy and data from calculations with the extended liquid-drop and the droplet model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Humanic, T.J., Saladin, J.X., Alessi, J.G., Hussein, A.: Phys. Rev. C27, 550 (1983)

    Google Scholar 

  2. Cooper, T., Bertozzi, W., Heisenberg, J., Kowalski, S., Turchinetz, W., Williamson, C., Cardman, L., Fivozinsky, S., Lightbody, J., Penner, S.: Phys. Rev. C13, 1083 (1976)

    Google Scholar 

  3. Lee, I.Y., Saladin, J.X., Holden, J., O'Brien, J., Baktash, C.: Phys. Rev. C12, 1483 (1975)

    Google Scholar 

  4. Ohtani, F., Sakaguchi, H., Nakamura, M., Noro, T., Sakamoto, H., Ogawa, H., Ichihara, T., Yosoi, M., Kobayashi, S.: Phys. Rev. C28, 120 (1983)

    Google Scholar 

  5. Boehm, F., Lee, P.L.: At. Data Nucl. Data Tables14, 605 (1974)

    Google Scholar 

  6. Tanaka, Y., Steffen, R.M., Shera, E.B., Reuter, W., Hoehn, M.V., Zumbro, J.D.: Phys. Rev. Lett.51, 1633 (1983)

    Google Scholar 

  7. Bender, D., Brand, H., Pfeufer, V.: Z. Phys. A — Atoms and Nuclei318, 291 (1984)

    Google Scholar 

  8. Bauche, J., Champeau, R.-J.: Adv. At. Mol. Phys.12, 39 (1976)

    Google Scholar 

  9. Aufmuth, P.: J. Phys. B: At. Mol. Phys.15, 3127 (1982)

    Google Scholar 

  10. Grethen, H., Winkler, R., Bauche, J.: Physica98 C, 222 (1980)

    Google Scholar 

  11. Pfeufer, V., Reimche, A., Steudel, A.: Z. Phys. A — Atoms and Nuclei308, 185 (1982)

    Google Scholar 

  12. Pfeufer, V., Childs, W.J., Goodman, L.S.: J. Phys. B: At. Mol. Phys.16, L557 (1983)

    Google Scholar 

  13. Pfeufer, V., Childs, W.J., Goodman, L.S.: J. Opt. Soc. Am. B1, 34 (1984)

    Google Scholar 

  14. Childs, W.J., Goodman, L.S., Pfeufer, V.: Phys. Rev. A28, 3402 (1983)

    Google Scholar 

  15. Foerster, W., Böklen, K.D., Fuchs, H.H., Nachtsheim, G., Sheta, N.: Z. Phys. A — Atoms and Nuclei315, 1 (1984)

    Google Scholar 

  16. Heilig, K.: Spectrochim. Acta B32, 1 (1977)

    Google Scholar 

  17. Heilig, K.: Spectrochim. Acta B37, 417 (1982)

    Google Scholar 

  18. Pfeufer, V.: Z. Phys. A — Atoms and Nuclei321, 83 (1985)

    Google Scholar 

  19. Martin, W.C., Zahlubas, R., Hagan, L.: Atomic Energy Levels — The Rare-Earth Elements, National Bureau of Standards NSRDS-NBS 60 (1978)

  20. Heilig, K., Steudel, A.: At. Data Nucl. Data Tables14, 613 (1974)

    Google Scholar 

  21. Zimmermann, D.: Z. Phys. A — Atoms and Nuclei321, 23 (1985)

    Google Scholar 

  22. Bodmer, A.R.: Proc. Phys. Soc. London66, 1041 (1953)

    Google Scholar 

  23. Wu, C.S., Wilets, L.: Annu. Rev. Nucl. Sci.19, 527 (1969)

    Google Scholar 

  24. Dunlap, B.D.: Phys. Rev. A6, 2057 (1972)

    Google Scholar 

  25. Seltzer, E.C.: Phys. Rev.188, 1916 (1969)

    Article  Google Scholar 

  26. Bhattacherjee, S.K., Boehm, F., Lee, P.L.: Phys. Rev.188, 1919 (1969)

    Google Scholar 

  27. Bauche, J.: Thesis, University of Paris (1969)

  28. Bauche, J., Crubellier, A.: J. Phys. (Paris)31, 429 (1970)

    Google Scholar 

  29. Bauche, J.: J. Phys. (Paris)35, 19 (1974)

    Google Scholar 

  30. Mårtensson, A.-M., Salomonson, S.: J. Phys. B: At. Mol. Phys.15, 2115 (1982)

    Google Scholar 

  31. Froese-Fischer, C., Smentek-Mielczarek, L.: J. Phys. B: At. Mol. Phys.16, 3479 (1983)

    Google Scholar 

  32. Lindroth, E., Mårtensson-Pendrill, A.-M.: Z. Phys. A — Atoms and Nuclei309, 277 (1983)

    Google Scholar 

  33. Fonseca, A.L.A., Bauche, J.: Z. Phys. A — Atoms and Nuclei314, 275 (1983)

    Google Scholar 

  34. Wilson, M.: Phys. Rev.176, 58 (1968)

    Article  Google Scholar 

  35. Wilson, M.: Phys. Rev.3 A, 45 (1971)

    Google Scholar 

  36. Wilson, M.: J. Phys. B: At. Mol. Phys.5, 218 (1972)

    Google Scholar 

  37. Coulthard, M.A.: J. Phys. B: At. Mol. Phys.6, 23 (1973)

    Google Scholar 

  38. Rajnak, K., Fred, M.: J. Opt. Soc. Am.67, 1314 (1977)

    Google Scholar 

  39. Kopfermann, H.: Nuclear moments. New York: Academic Press 1958

    Google Scholar 

  40. Brüggemeyer, H., Esrom, H., Pfeufer, V., Bauche, J.: Z. Phys. A — Atoms and Nuclei (to be published)

  41. New, R., Griffith, J.A.R., Isaak, G.R., Rails, M.P.: J. Phys. B: At. Mol. Phys.14, L135 (1981)

    Google Scholar 

  42. Miller, G.E., Ross, J.S.: J. Opt. Soc. Am.66, 585 (1976)

    Google Scholar 

  43. Ross, J.S.: J. Opt. Soc. Am.62, 548 (1972)

    Google Scholar 

  44. Brand, H., Seibert, B., Steudel, A.: Z. Phys. A — Atoms and Nuclei296, 281 (1980)

    Google Scholar 

  45. Brüggemeyer, H., Esrom, H., Pfeufer, V.: (to be published)

  46. Wilets, L., Hill, D.L., Ford, K.W.: Phys. Rev.91, 1488 (1953)

    Google Scholar 

  47. Bodmer, A.R.: Proc. Phys. Soc. A67, 622 (1954)

    Google Scholar 

  48. Tomlinson III, W.J., Stroke, H.H.: Nucl. Phys.60, 614 (1964)

    Google Scholar 

  49. Sorensen, R.A.: Phys. Lett.21, 333 (1966)

    Google Scholar 

  50. Reehal, B.S., Sorensen, R.A.: Nucl. Phys. A161, 385 (1971)

    Google Scholar 

  51. Zawischa, D.: Proc. Int. Conf. Nucl. Phys. (Berkeley) p. 734 (1980)

  52. Caurier, E., Poves, A., Zuker, A.: Phys. Lett.96 B, 15 1980)

    Google Scholar 

  53. Talmi, I., Nucl. Phys. A423, 189 (1984)

    Google Scholar 

  54. Zawischa, D.: (to be published)

  55. Blaise, J., Steudel, A.: Z. Phys.209, 311 (1968)

    Google Scholar 

  56. Zimmermann, D.: Private communication 1984

  57. Wohlfahrt, H.D., Shera, E.B., Hoehn, M.V., Yamazaki, Y., Steffen, R.M.: Phys. Rev. C23, 533 (1981)

    Google Scholar 

  58. Kunold, W., Schneider, M., Simons, L.M., Wüst, J., Abela, R.: Z. Phys. A — Atoms and Nuclei312, 11 (1983)

    Google Scholar 

  59. Macagno, E.R., Bernow, S., Cheng, S.C., Devons, S., Duerdoth, I., Hitlin, D., Kast, J.W., Lee, W.Y., Rainwater, J., Wu, C.S.: Phys. Rev. C1, 1202 (1970)

    Google Scholar 

  60. Shera, E.B., Ritter, E.T., Perkins, R.B., Rinker, G.A., Wagner, L.K., Wohlfahrt, H.D., Fricke, G., Steffen, R.M.: Phys. Rev. C14, 731 (1976)

    Google Scholar 

  61. Barrett, R.C.: Phys. Lett.33 B, 388 (1970)

    Google Scholar 

  62. Engfer, R., Schneuwly, H., Vuilleumier, J.L., Walter, H.K., Zehnder, A.: At. Data Nucl. Data Tables14, 509 (1974)

    Google Scholar 

  63. Hitlin, D., Bernow, S., Devons, S., Duerdoth, I., Kast, J.W., Macagno, E.R., Rainwater, J., Wu, C.S., Barrett, R.C.: Phys. Rev. C1, 1184 (1970)

    Google Scholar 

  64. Haynes, E.P., Ross, J.S.: Phys. Rev.137, B 790 (1965)

    Google Scholar 

  65. Weizsäcker, C.F. von: Phys.96, 431 (1935)

    Google Scholar 

  66. Angeli, I., Csatlós, M.: Nucl. Phys. A288, 480 (1977)

    Google Scholar 

  67. Hornyak, W.F.: Nuclear structure. New York: Academic Press 1975

    Google Scholar 

  68. Brix, P., Kopfermann, H.: Festschrift Akad. Wiss. Göttingen, Math.-Phys. K1., 17 (1951)

    Google Scholar 

  69. Myers, W.D., Swiatecki, W.J.: Ann. Phys. (NY)55, 395 (1969)

    Google Scholar 

  70. Myers, W.D., Swiatecki, W.J.: Ann. Phys. (NY)84, 186 (1974)

    Google Scholar 

  71. Myers, W.D.: Droplet model of atomic nuclei. New York: IFI/Plenum 1977

    Google Scholar 

  72. Myers, W.D., Schmidt, K.-H.: Nucl. Phys. A410, 61 (1983)

    Google Scholar 

  73. Friedrich, J., Voegler, N.: Nucl. Phys. A373, 192 (1982)

    Google Scholar 

  74. Löbner, K.E.G., Vetter, M., Honig, V.: Nucl. Data Tables A7, 465 (1970)

    Google Scholar 

  75. Fischer, H., Kamke, D., Kittling, H.J., Kuhlmann, E., Plicht, H., Schormann, R.: Phys. Rev. C15, 921 (1977)

    Google Scholar 

  76. Ronningen, R.M., Crawley, G.M., Anantaraman, N., Banks, S.M., Spicer, B.M., Shute, G.G., Officer, V.C., Wastell, J.M.R., Devins, D.W., Friesel, D.L.: Phys. Rev. C28, 123 (1983)

    Google Scholar 

  77. Ichihara, T., Sakaguchi, H., Nakamura, M., Noro, T., Ohtani, F., Sakamoto, H., Ogawa, H., Yosoi., M., Ieiri, M., Isshiki, N., Kobayashi, S.: Phys. Rev. C29, 1228 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bernard, A., Brüggemeyer, H. & Pfeufer, V. Changes in mean-square nuclear charge radii in Er from optical isotope shifts by laser-atomic-beam spectroscopy. Z Physik A 322, 1–11 (1985). https://doi.org/10.1007/BF01412011

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01412011

PACS

Navigation