Advertisement

Identification of rotating and vibrating tetrahedrons in the heavy nucleus 208Pb

  • A. HeuslerEmail author
Regular Article - Experimental Physics

Abstract.

Ten known states in the heavy nucleus 208Pb at \(2.6 < E_{x} < 7.9\) MeV are described by rotating and vibrating tetrahedrons. The \( 3^{-}\) and \( 4^{+}\) yrast states are the first members of the rotational band. A \( 2^{\pm}\) doublet state with the \( 2^{+}\) yrast state as one member and the newly recognized \( 2^{-}\) yrast state as the other member, the \( 1^{-}\) yrast state, and the third \( 0^{+}\) state are the heads of the three elementary tetrahedral rotating and vibrating bands. The newly recognized state at \( E_{x} = 4142\) keV was assigned spin 2 in 1975 and is suggested to have negative parity by the absent 208Pb \((\alpha, \alpha')\) excitation. Four more states at \(5.7< E_{x}< 7.9\) MeV are identified as the next members of the three elementary tetrahedral rotating and vibrating bands. The ambiguous spin assignment to the state at \(E_{x}= 7020\) keV is settled with \( 3^{-}\), the state at \( E_{x} = 7137\) keV is assigned \( 4^{-}\).

References

  1. 1.
    B.L. Cohen, S.W. Mosko, Phys. Rev. 106, 995 (1957)CrossRefADSGoogle Scholar
  2. 2.
    B.L. Cohen, A.G. Rubin, Phys. Rev. 111, 1568 (1958)CrossRefADSGoogle Scholar
  3. 3.
    B.L. Cohen, A.G. Rubin, Phys. Rev. 113, 579 (1959)CrossRefADSGoogle Scholar
  4. 4.
    A.M. Lane, E.D. Pendlebury, Nucl. Phys. 15, 39 (1960)CrossRefGoogle Scholar
  5. 5.
    S.G. Rohozinski, Rep. Prog. Phys. 51, 541 (1988)CrossRefADSGoogle Scholar
  6. 6.
    M.J. Martin, Nucl. Data Sheets 108, 1583 (2007)CrossRefADSGoogle Scholar
  7. 7.
    J. Saudinos, G. Vallois, O. Beer, M. Gendrot, P. Lopato, Phys. Lett. 22, 492 (1966)CrossRefADSGoogle Scholar
  8. 8.
    J.F. Ziegler, G.A. Peterson, Phys. Rev. 165, 1337 (1968)CrossRefADSGoogle Scholar
  9. 9.
    W.T. Wagner, G.M. Crawley, G.R. Hammerstein, H. McManus, Phys. Rev. C 12, 757 (1975)CrossRefADSGoogle Scholar
  10. 10.
    Y. Fujita, T. Shimoda, H. Miyatake, N. Takahashi, M. Fujiwara, S. Morinobu, T. Yamagata, J. Takamatsu, A. Terakawa, H. Folger, Phys. Rev. C 45, 993 (1992)CrossRefADSGoogle Scholar
  11. 11.
  12. 12.
    V. Gillet, A.M. Green, E.A. Sanderson, Nucl. Phys. 88, 321 (1966)CrossRefGoogle Scholar
  13. 13.
    W.W. True, C.W. Ma, W.T. Pinkston, Phys. Rev. C 3, 2421 (1971)CrossRefADSGoogle Scholar
  14. 14.
    I. Hamamoto, Nucl. Phys. A 155, 362 (1970)CrossRefADSGoogle Scholar
  15. 15.
    I. Hamamoto, P. Siemens, Nucl. Phys. A 269, 199 (1976)CrossRefADSGoogle Scholar
  16. 16.
    B.A. Brown, Phys. Rev. Lett. 85, 5300 (2000)CrossRefADSGoogle Scholar
  17. 17.
    K.H. Maier, https://www.mpi-hd.mpg.de/personalhomes/hsl/Blei208KHMaier/ states in calculated with the M3Y interaction (2007)
  18. 18.
    R. Broda, R.V.F. Janssens, L.W. Iskra, J. Wrzesinski, B. Fornal, M.P. Carpenter, C.J. Chiara, N. Cieplicka-Oryńczak, C.R. Hoffman, F.G. Kondev, W. Królas, T. Lauritsen, Zs. Podolyak, D. Seweryniak, C.M. Shand, B. Szpak, W.B. Walters, S. Zhu, B.A. Brown, Phys. Rev. C 95, 064308 (2017)CrossRefADSGoogle Scholar
  19. 19.
    G. Vallois, J. Saudinos, O. Beer, Phys. Lett. B 24, 512 (1967)CrossRefADSGoogle Scholar
  20. 20.
    A. Hogenbirk, H.P. Blok, M.N. Harakeh, Nucl. Phys. A 524, 251 (1991)CrossRefADSGoogle Scholar
  21. 21.
    J.A. Wheeler, Phys. Rev. 52, 1083 (1937)CrossRefADSGoogle Scholar
  22. 22.
    L. Tisza, Z. Phys. 82, 48 (1933)CrossRefADSGoogle Scholar
  23. 23.
    R. Bijker, F. Iachello, Phys. Rev. Lett. 112, 152501 (2014)CrossRefADSGoogle Scholar
  24. 24.
    R. Bijker, Phys. Scr. 91, 073005 (2016)CrossRefADSGoogle Scholar
  25. 25.
    R. Bijker, F. Iachello, Nucl. Phys. A 957, 154 (2017)CrossRefADSGoogle Scholar
  26. 26.
    A. Heusler, Rotating and vibrating $\alpha$-clusters in heavy nuclei, in 12th International Spring Seminar on Nuclear Physics: Shell Model and Nuclear Structure -- Current Problems and Prospects for Nuclear Structure. Ischia, Italy, 15-19 May 2017 https://agenda.infn.it/conferenceDisplay.py?confId=12021
  27. 27.
    A. Heusler, R.V. Jolos, T. Faestermann, R. Hertenberger, H.-F. Wirth, P. von Brentano, Phys. Rev. C 93, 054321 (2016)CrossRefADSGoogle Scholar
  28. 28.
    A. Heusler, T. Faestermann, R. Hertenberger, H.-F. Wirth, P. von Brentano, Phys. Rev. C 89, 024322 (2014)CrossRefADSGoogle Scholar
  29. 29.
    A. Heusler, G. Graw, R. Hertenberger, F. Riess, H.-F. Wirth, T. Faestermann, R. Krücken, J. Jolie, D. Mücher, N. Pietralla, P. von Brentano, Phys. Rev. C 74, 034303 (2006)CrossRefADSGoogle Scholar
  30. 30.
    A. Heusler, G. Graw, R. Hertenberger, F. Riess, H.-F. Wirth, T. Faestermann, R. Krücken, Th. Behrens, V. Bildstein, K. Eppinger, C. Herlitzius, O. Lepyoshkina, M. Mahgoub, A. Parikh, S. Schwertel, K. Wimmer, N. Pietralla, V. Werner, J. Jolie, D. Mücher, C. Scholl, P. von Brentano, Phys. Rev. C 82, 014316 (2010)CrossRefADSGoogle Scholar
  31. 31.
    A. Heusler, H.-J. Glöckner, E. Grosse, C.F. Moore, J. Solf, P. von Brentano, Eur. Phys. J. A 50, 92 (2014)CrossRefADSGoogle Scholar
  32. 32.
    H.-J. Glöckner, Master's Thesis, Universität Heidelberg (1972), edited by A. Heusler, http://www.mpi-hd.mpg.de/personalhomes/hsl/HJG_diplom/
  33. 33.
    A. Heusler, Reconstructed data for , taken with semiconductor counters at the Max-Planck-Institut für Kernphysik, Heidelberg (Germany) in 1968-1969, available at garching.physik.uni-muenchen.de (directory /o/expt/polar/HsL/Blei208_HJG)Google Scholar
  34. 34.
    P. Grabmayr, G. Mairle, U. Schmidt-Rohr, G.P.A. Berg, J. Meissburger, P. von Rossen, J.L. Tain, Nucl. Phys. A 469, 285 (1987)CrossRefADSGoogle Scholar
  35. 35.
    P. Grabmayr, private communication (2008)Google Scholar
  36. 36.
    U. Atzrott, PhD Thesis, Universität Tübingen (1995)Google Scholar
  37. 37.
    B.D. Valnion, W. Oelmaier, D. Hofer, E. Zanotti-Müller, G. Graw, U. Atzrott, F. Hoyler, G. Staudt, Z. Phys. A 350, 11 (1994)CrossRefADSGoogle Scholar
  38. 38.
    U. Atzrott, private communication (2015)Google Scholar
  39. 39.
    A. Heusler, Original and processed data for , taken with the Q3D magnetic spectrograph, available at garching.physik.uni-muenchen.de (directory /o/expt/polar/HsL/Blei208_Q3D)Google Scholar
  40. 40.
    P.B. Vold, J.O. Andreassen, J.R. Lien, A. Graue, E.R. Cosman, W. Dünnweber, D. Schmitt, F. Nüsslin, Nucl. Phys. A 215, 61 (1973)CrossRefADSGoogle Scholar
  41. 41.
    G. Mairle, K. Schindler, P. Grabmayr, G.J. Wagner, U. Schmidt-Rohr, G.P.A. Berg, W. Hürlimann, S.A. Martin, J. Meissburger, J.G.H. Römer, B. Styczen, J.L. Tain, Phys. Lett. B 121, 307 (1983)CrossRefADSGoogle Scholar
  42. 42.
    F. Riess (2006), http://www.it.physik.uni-muenchen.de/dienste/software/gaspan/index.html, Gamma-ray And particle SPectra interactive and automatic ANalysis
  43. 43.
    B.D. Valnion, PhD Thesis, Universität München (Herbert Utz Verlag, München, 1998)Google Scholar
  44. 44.
    L.G. Elliott, R.L. Graham, J. Walker, J.L. Wolfson, Phys. Rev. 93, 356 (1954)CrossRefADSGoogle Scholar
  45. 45.
  46. 46.
    L. Meitner, Z. Phys. 11, 35 (1922)CrossRefADSGoogle Scholar
  47. 47.
    J. Thibaud, J. Phys. Radium 3, 82 (1925)CrossRefGoogle Scholar
  48. 48.
    E. Rutherford, Philos. Mag. 47, 109 (1899)CrossRefGoogle Scholar
  49. 49.
    H. Becker, W. Bothe, Z. Phys. 76, 421 (1932)CrossRefADSGoogle Scholar
  50. 50.
    M.B. Lewis, Nucl. Data Sheets 5, 243 (1971)CrossRefADSGoogle Scholar
  51. 51.
    M.J. Martin, Nucl. Data Sheets 47, 797 (1986)CrossRefADSGoogle Scholar
  52. 52.
    M. Schramm, K.H. Maier, M. Rejmund, L.D. Wood, N. Roy, A. Kuhnert, A. Aprahamian, J. Becker, M. Brinkman, D.J. Decman, E.A. Henry, R. Hoff, D. Manatt, L.G. Mann, R.A. Meyer, W. Stoeffl, G.L. Struble, T.-F. Wang, Phys. Rev. C 56, 1320 (1997)CrossRefADSGoogle Scholar
  53. 53.
    A. Heusler, P. von Brentano, Ann. Phys. (N.Y.) 75, 381 (1973)CrossRefADSGoogle Scholar
  54. 54.
    A. Heusler, P. von Brentano, H.-J. Glöckner, E. Grosse, MPIK Heidelberg Annual Report (1969) p. 62Google Scholar
  55. 55.
    L. Muñoz, R.A. Molina, J.M.G. Gómez, A. Heusler, Phys. Rev. C 95, 014317 (2017)CrossRefADSGoogle Scholar
  56. 56.
    B. Dietz, A. Heusler, K.H. Maier, A. Richter, B.A. Brown, Phys. Rev. Lett. 118, 012501 (2017)CrossRefADSGoogle Scholar
  57. 57.
    R.H. Spear, At. Data Nucl. Data Tables 42, 55 (1989)CrossRefADSGoogle Scholar
  58. 58.
    C.M. Cheves, D.R. Tilley, H.R. Weller, Nucl. Phys. A 564, 1 (1993)CrossRefADSGoogle Scholar
  59. 59.
    R.H. Spear, W.J. Vermeer, M.T. Esat, J.A. Kuehner, A.M. Baxter, S. Hinds, Phys. Lett. B 128, 29 (1983)CrossRefADSGoogle Scholar
  60. 60.
    J. Heisenberg, J. Lichtenstadt, C.N. Papanicolas, J.S. McCarthy, Phys. Rev. C 25, 2292 (1982)CrossRefADSGoogle Scholar
  61. 61.
    C.J. Halcrow, C. King, N.S. Manton, Phys. Rev. C 95, 031303 (2017)CrossRefADSGoogle Scholar
  62. 62.
    A. Heusler, T. Faestermann, R. Hertenberger, R. Krücken, H.-F. Wirth, P. von Brentano, Eur. Phys. J. A 46, 17 (2010)CrossRefADSGoogle Scholar
  63. 63.
    G. Igo, P.D. Barnes, E.R. Flynn, Ann. Phys. (N.Y.) 66, 60 (1971)CrossRefADSGoogle Scholar
  64. 64.
    M. Yeh, P.E. Garrett, C.A. McGrath, S.W. Yates, T. Belgya, Phys. Rev. Lett. 76, 1208 (1996)CrossRefADSGoogle Scholar
  65. 65.
    J.N. Orce, T. Kibédi, G.D. Dracoulis, R. Julin, S.W. Yates, J. Phys. G 31, S1705 (2005)CrossRefADSGoogle Scholar
  66. 66.
    A. Bohr, in Nuclear Structure: Dubna Symposium (Int. Atomic Energy Agency, Vienna, 1968) p. 179Google Scholar
  67. 67.
    G.J. Igo, P.D. Barnes, E.R. Flynn, Phys. Rev. Lett. 24, 470 (1970)CrossRefADSGoogle Scholar
  68. 68.
    R.V. Jolos, A. Heusler, P. von Brentano, Phys. Rev. C 92, 011302(R) (2015)CrossRefADSGoogle Scholar
  69. 69.
    A. Heusler, T. Faestermann, R. Hertenberger, H.-F. Wirth, P. von Brentano, Phys. Rev. C 91, 044325 (2015)CrossRefADSGoogle Scholar
  70. 70.
    S.A.A. Zaidi, L.J. Parish, J.G. Kulleck, C.F. Moore, P. von Brentano, Phys. Rev. 165, 1312 (1968)CrossRefADSGoogle Scholar
  71. 71.
    N. Stein, C.A. Whitten, D.A. Bromley, Phys. Rev. Lett. 20, 113 (1968)CrossRefADSGoogle Scholar
  72. 72.
    H.A. Bethe, R.F. Bacher, Rev. Mod. Phys. 8, 82 (1936)CrossRefADSGoogle Scholar
  73. 73.
    C. Xu, G. Röpke, P. Schuck, Z. Ren, Y. Funaki, H. Horiuchi, A. Tohsaki, T. Yamada, Bo Zhou, Phys. Rev. C 95, 061306 (2017)CrossRefADSGoogle Scholar
  74. 74.
    N. Marquardt, P. Rauser, P. von Brentano, J.P. Wurm, S.A.A. Zaidi, Nucl. Phys. A 177, 33 (1971)CrossRefADSGoogle Scholar
  75. 75.
    H.J. Körner, J.P. Schiffer, Phys. Rev. Lett. 27, 1457 (1971)CrossRefADSGoogle Scholar
  76. 76.
    J.M. Cavedon, B. Frois, D. Goutte, M. Huet, Ph. Leconte, X.H. Phan, S.K. Platchkov, C.N. Papanicolas, S.E. Williamson, W. Boeglin, I. Sick, J. Heisenberg, Phys. Rev. Lett. 58, 195 (1987)CrossRefADSGoogle Scholar
  77. 77.
    A. Krasznahorkay, H. Akimune, A.M. van den Berg, N. Blasi, S. Brandenburg, M. Csatlós, M. Fujiwara, J. Gulyás, M.N. Harakeh, M. Hunyadi, M. de Huu, Z. Máte, D. Sohler, S.Y. van der Werf, H.J. Wörtche, L. Zolnai, Nucl. Phys. A 731, 224 (2004)CrossRefADSGoogle Scholar
  78. 78.
    A. Tamii, I. Poltoratska, P. von Neumann-Cosel, Y. Fujita, T. Adachi, C.A. Bertulani, J. Carter, M. Dozono, H. Fujita, K. Fujita, K. Hatanaka, D. Ishikawa, M. Itoh, T. Kawabata, Y. Kalmykov, A.M. Krumbholz, E. Litvinova, H. Matsubara, K. Nakanishi, R. Neveling, H. Okamura, H.J. Ong, B. Özel-Tashenov, V.Yu. Ponomarev, A. Richter, B. Rubio, H. Sakaguchi, Y. Sakemi, Y. Sasamoto, Y. Shimbara, Y. Shimizu, F.D. Smit, T. Suzuki, Y. Tameshige, J. Wambach, R. Yamada, M. Yosoi, J. Zenihiro, Phys. Rev. Lett. 107, 062502 (2011)CrossRefADSGoogle Scholar
  79. 79.
    D.J. Horen, J.A. Harvey, N.W. Hill, Phys. Rev. C 18, 722 (1978)CrossRefADSGoogle Scholar
  80. 80.
    H.P. Morsch, C. Sükösd, M. Rogge, P. Turek, H. Machner, C. Mayer-Böricke, Phys. Rev. C 22, 489 (1980)CrossRefADSGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Gustav-Kirchhoff-Str. 7/1HeidelbergGermany

Personalised recommendations