Strong coupling effects in near-barrier heavy-ion elastic scattering

Open Access
Review

Abstract

Accurate elastic scattering angular distribution data measured at bombarding energies just above the Coulomb barrier have shapes that can markedly differ from or be the same as the expected classical Fresnel scattering pattern depending on the structure of the projectile, the target or both. Examples are given such as 18O + 184W and 16O + 148, 152Sm, where the expected rise above Rutherford scattering due to Coulomb-nuclear interference is damped by coupling to the target excited states, and the extreme case of 11Li scattering, where coupling to the 9Li + n + n continuum leads to an elastic scattering shape that cannot be reproduced by any standard optical model parameter set. An early indication that the projectile structure can modify the elastic scattering angular distribution was the large vector analyzing powers observed in polarised 6Li scattering. The recent availability of high-quality 6He, 11Li and 11Be data provides further examples of the influence that coupling effects can have on elastic scattering. Conditions for strong projectile-target coupling effects are presented with special emphasis on the importance of the beam-target charge combination being large enough to bring about the strong coupling effects. Several measurements are proposed that can lead to further understanding of strong coupling effects by both inelastic excitation and nucleon transfer on near-barrier elastic scattering. A final note on the anomalous nature of 8B elastic scattering is presented as it possesses a more or less normal Fresnel scattering shape whereas one would a priori not expect this due to the very low breakup threshold of 8B . The special nature of 11Li is presented as it is predicted that no matter how far above the Coulomb barrier the elastic scattering is measured, its shape will not appear as Fresnel like whereas the elastic scattering of all other loosely bound nuclei studied to date should eventually do so as the incident energy is increased, making both 8B and 11Li truly “exotic”.

Keywords

208Pb Angular Distribution Strong Coupling Incident Energy Coulomb Barrier 

References

  1. 1.
    V.P. Rudakov, K.P. Artemov, Yu.A. Glukhov, S.A. Goncharov, A.S. Demyanova, A.A. Ogloblin, V.V. Paramonov, M.V. Rozhkov, Bull. Rus. Acad. Sci. Phys. 65, 57 (2001).Google Scholar
  2. 2.
    C.E. Thorn, M.J. LeVine, J.J. Kolata, C. Flaum, P.D. Bond, J.-C. Sens, Phys. Rev. Lett. 38, 384 (1977).CrossRefADSGoogle Scholar
  3. 3.
    E.E. Gross, T.P. Cleary, J.L.C. Ford, D.C. Hensley, K.S. Toth, Phys. Rev. C 17, 1665 (1978).CrossRefADSGoogle Scholar
  4. 4.
    G.R. Satchler, Phys. Lett. B 55, 167 (1975).CrossRefADSGoogle Scholar
  5. 5.
    J.B. Ball, C.B. Fulmer, E.E. Gross, M.L. Halbert, D.C. Hensley, C.A. Ludemann, M.J. Saltmarsh, G.R. Satchler, Nucl. Phys. A 252, 208 (1975).CrossRefADSGoogle Scholar
  6. 6.
    B.-T. Kim, Phys. Lett. B 80, 353 (1979).CrossRefADSGoogle Scholar
  7. 7.
    R.G. Stokstad, E.E. Gross, Phys. Rev. C 23, 281 (1981).CrossRefADSGoogle Scholar
  8. 8.
    P. Talon, N. Alamanos, M. Lamehi-Rachti, C. Levi, L. Papineau, Nucl. Phys. A 359, 493 (1981).CrossRefADSGoogle Scholar
  9. 9.
    D. Abriola, D. DiGregorio, J.E. Testoni, A. Etchegoyen, M.C. Etchegoyen, J.O. Fernández Niello, A.M.J. Ferrero, S. Gil, A.O. Macchiavelli, A.J. Pacheco, J. Kittl, Phys. Rev. C 39, 546 (1989).CrossRefADSGoogle Scholar
  10. 10.
    J.S. Eck, T.R. Ophel, P.D. Clark, D.C. Weisser, G.R. Satchler, Phys. Rev. C 23, 228 (1981).CrossRefADSGoogle Scholar
  11. 11.
    D.C. Hensley, E.E. Gross, M.L. Halbert, J.R. Beene, F.E. Bertrand, G. Vourvopoulos, D.L. Humphrey, T. Van Cleve, Phys. Rev. C 40, 2065 (1989).CrossRefADSGoogle Scholar
  12. 12.
    D.C. Hensley, E.E. Gross, M.L. Halbert, J.R. Beene, F.E. Bertrand, G. Vourvopoulos, D.L. Humphrey, Phys. Rev. C 43, 2546 (1991).CrossRefADSGoogle Scholar
  13. 13.
    R.J. Vojtech, J.J. Kolata, L.A. Lewandowski, K.E. Rehm, D.G. Kovar, G.S.F. Stephans, G. Rosner, H. Ikezoe, M.F. Vineyard, Phys. Rev. C 35, 2139 (1987).CrossRefADSGoogle Scholar
  14. 14.
    P.R. Christensen, S. Pontoppidan, F. Videbaek, J. Barrette, P.D. Bond, Ole Hansen, C.E. Thorn, Phys. Rev. C 29, 455 (1984).CrossRefADSGoogle Scholar
  15. 15.
    J.J. Kolata, K.E. Rehm, D.G. Kovar, G.S.F. Stephans, G. Rosner, H. Ikezoe, R. Vojtech, Phys. Rev. C 30, 125 (1984).CrossRefADSGoogle Scholar
  16. 16.
    C-L. Jiang, S. Kubono, N. Ikeda, M. Tanaka, H. Kawashima, Y. Fuchi, I. Katayama, T. Nomura, S.C. Pieper, Phys. Lett. B 259, 427 (1991).CrossRefADSGoogle Scholar
  17. 17.
    D. Fick, G. Grawert, I.M. Turkiewicz, Phys. Rep. 214, 1 (1992).CrossRefADSGoogle Scholar
  18. 18.
    H. Nishioka, J.A. Tostevin, R.C. Johnson, K.-I. Kubo, Nucl. Phys. A 415, 230 (1984).CrossRefADSGoogle Scholar
  19. 19.
    K. Rusek, Z. Moroz, R. Caplar, P. Egelhof, K.-H. Möbius, E. Steffens, I. Koenig, A. Weller, D. Fick, Nucl. Phys. A 407, 208 (1983).CrossRefADSGoogle Scholar
  20. 20.
    K. Rusek, N.M. Clarke, R.P. Ward, Phys. Rev. C 50, 2010 (1994).CrossRefADSGoogle Scholar
  21. 21.
    S.P. Van Verst, D.P. Sanderson, D.E. Trcka, K.W. Kemper, V. Hnizdo, B.G. Schmidt, K.R. Chapman, Phys. Rev. C 39, 853 (1989).CrossRefADSGoogle Scholar
  22. 22.
    J.A. Ruiz, J.L. Ferrero, B. Bilwes, R. Bilwes, Nucl. Phys. A 548, 510 (1992).CrossRefADSGoogle Scholar
  23. 23.
    U. Arlt, R. Bass, V. Hartmann, R. Renfordt, K. Sapotta, P. Fröbrich, W. Schäfer, Phys. Rev. C 22, 1790(R) (1980).CrossRefADSGoogle Scholar
  24. 24.
    M. Beckerman, R.L. Auble, F.E. Bertrand, J.L. Blankenship, B.L. Burks, M.A.G. Fernandes, C.W. Glover, E.E. Gross, D.J. Horen, R.O. Sayer, G.R. Satchler, D. Shapira, Y. Sugiyama, R.L. Varner, Phys. Rev. C 36, 657 (1987).CrossRefADSGoogle Scholar
  25. 25.
    S. Szilner, L. Corradi, F. Haas, G. Pollarolo, S. Beghini, B.R. Behera, E. Caurier, E. Fioretto, A. Gadea, A. Latina, G. Montagnoli, F. Nowacki, F. Scarlassara, A.M. Stefanini, M. Trotta, A.M. Vinodkumar, Y.W. Wu, Eur. Phys. J. A 21, 87 (2004).CrossRefADSGoogle Scholar
  26. 26.
    N. Keeley, N. Alamanos, K.W. Kemper, K. Rusek, Prog. Part. Nucl. Phys. 63, 396 (2009).CrossRefADSGoogle Scholar
  27. 27.
    O.R. Kakuee, J. Rahighi, A.M. Sánchez-Benéz, M.V. Andrés, S. Cherubini, T. Davinson, W. Galster, J. Gómez-Camacho, A.M. Laird, M. Lamehi-Rachti, I. Martel, A.C. Shotter, W.B. Smith, J. Vervier, P.J. Woods, Nucl. Phys. A 728, 339 (2003).CrossRefADSGoogle Scholar
  28. 28.
    A. Di Pietro, P. Figuera, F. Amorini, C. Angulo, G. Cardella, S. Cherubini, T. Davinson, D. Leanza, J. Lu, H. Mahmud, M. Milin, A. Musumarra, A. Ninane, M. Papa, M.G. Pellegriti, R. Raabe, F. Rizzo, C. Ruiz, A.C. Shotter, N. Soic, S. Tudisco, Europhys. Lett. 64, 309 (2003).CrossRefADSGoogle Scholar
  29. 29.
    A. Di Pietro, P. Figuera, F. Amorini, C. Angulo, G. Cardella, S. Cherubini, T. Davinson, D. Leanza, J. Lu, H. Mahmud, M. Milin, A. Musumarra, A. Ninane, M. Papa, M.G. Pellegriti, R. Raabe, F. Rizzo, C. Ruiz, A.C. Shotter, N. Soic, S. Tudisco, L. Weissman, Phys. Rev. C 69, 044613 (2004).CrossRefADSGoogle Scholar
  30. 30.
    Y. Kucuk, I. Boztosun, N. Keeley, Phys. Rev. C 79, 067601 (2009).CrossRefADSGoogle Scholar
  31. 31.
    G. Marquínez-Durán, A.M. Sánchez-Benéz, I. Martel, L. Acosta, K. Rusek, M.A.G. Ávarez, R. Berjillos, M.J.G. Borge, A. Chbihi, C. Cruz, M. Cubero, J.A. Dueñas, J.P. Fernández-Garcí, B. Fernández-Martínez, J.L. Flores, J. Gómez-Camacho, N. Keeley, J.A. Labrador, M. Marqués, A.M. Moro, M. Mazzocco, A. Pakou, V.V. Parkar, N. Patronis, V. Pesudo, D. Pierroutsakou, R. Raabe, R. Silvestri, N. Soic, Ł. Standylo, I. Strojek, O. Tengblad, R. Wolski, A.H. Ziad, Acta Phys. Pol. B 44, 467 (2013).CrossRefADSGoogle Scholar
  32. 32.
    L. Acosta, A.M. Sánchez-Benéz, M.E. Gómez, I. Martel, F. Pérez-Bernal, F. Pizarro, J. Rodríguez-Quintero, K. Rusek, M.A.G. Alvarez, M.V. Andrés, J.M. Espino, J.P. Fernández-García, J. Gómez-Camacho, A.M. Moro, C. Angulo, J. Cabrera, E. Casarejos, P. Demaret, M.J.G. Borge, D. Escrig, O. Tengblad, S. Cherubini, P. Figuera, M. Gulino, M. Freer, C. Metelko, V. Ziman, R. Raabe, I. Mukha, D. Smirnov, O.R. Kakuee, J. Rahighi, Phys. Rev. C 84, 044604 (2011).CrossRefADSGoogle Scholar
  33. 33.
    N. Keeley, N. Alamanos, Phys. Rev. C 77, 054602 (2008).CrossRefADSGoogle Scholar
  34. 34.
    M. Cubero, J.P. Fernández-García, M. Rodríguez-Gallardo, L. Acosta, M. Alcorta, M.A.G. Alvarez, M.J.G. Borge, L. Buchmann, C.A. Diget, H. Al Falou, B.R. Fulton, H.O.U. Fynbo, D. Galaviz, J. Gómez-Camacho, R. Kanungo, J.A. Lay, M. Madurga, I. Martel, A.M. Moro, I. Mukha, T. Nilsson, A.M. Sánchez-Benéz, A. Shotter, O. Tengblad, P. Walden, Phys. Rev. Lett. 109, 262701 (2012).CrossRefADSGoogle Scholar
  35. 35.
    N. Keeley, K.W. Kemper, K. Rusek, Phys. Rev. C 88, 017602 (2013).CrossRefADSGoogle Scholar
  36. 36.
    A. Di Pietro, G. Randisi, V. Scuderi, L. Acosta, F. Amorini, M.J.G. Borge, P. Figuera, M. Fisichella, L.M. Fraile, J. Gomez-Camacho, H. Jeppesen, M. Lattuada, I. Martel, M. Milin, A. Musumarra, M. Papa, M.G. Pellegriti, F. Perez-Bernal, R. Raabe, F. Rizzo, D. Santonocito, G. Scalia, O. Tengblad, D. Torresi, A.M. Vidal, D. Voulot, F. Wenander, M. Zadro, Phys. Rev. Lett. 105, 022701 (2010).CrossRefADSGoogle Scholar
  37. 37.
    N. Keeley, N. Alamanos, K.W. Kemper, K. Rusek, Phys. Rev. C 82, 034606 (2010).CrossRefADSGoogle Scholar
  38. 38.
    A. Di Pietro, V. Scuderi, A.M. Moro, L. Acosta, F. Amorini, M.J.G. Borge, P. Figuera, M. Fisichella, L.M. Fraile, J. Gomez-Camacho, H. Jeppesen, M. Lattuada, I. Martel, M. Milin, A. Musumarra, M. Papa, M.G. Pellegriti, F. Perez-Bernal, R. Raabe, G. Randisi, F. Rizzo, G. Scalia, O. Tengblad, D. Torresi, A.M. Vidal, D. Voulot, F. Wenander, M. Zadro, Phys. Rev. C 85, 054607 (2012).CrossRefADSGoogle Scholar
  39. 39.
    N.C. Summers, F.M. Nunes, I.J. Thompson, Phys. Rev. C 74, 014606 (2006).CrossRefADSGoogle Scholar
  40. 40.
    N.C. Summers, F.M. Nunes, I.J. Thompson, Phys. Rev. C 89, 069901(E) (2014).CrossRefADSGoogle Scholar
  41. 41.
    R. de Diego, J.M. Arias, J.A. Lay, A.M. Moro, Phys. Rev. C 89, 064609 (2014).CrossRefADSGoogle Scholar
  42. 42.
    Y.Y. Yang, J.S. Wang, Q. Wang, D.Y. Pang, J.B. Ma, M.R. Huang, J.L. Han, P. Ma, S.L. Jin, Z. Bai, Q. Hu, L. Jin, J.B. Chen, N. Keeley, K. Rusek, R. Wada, S. Mukherjee, Z.Y. Sun, R.F. Chen, X.Y. Zhang, Z.G. Hu, X.H. Yuan, X.G. Cao, Z.G. Xu, S.W. Xu, C. Zhen, Z.Q. Chen, Z. Chen, S.Z. Chen, C.M. Du, L.M. Duan, F. Fu, B.X. Gou, J. Hu, J.J. He, X.G. Lei, S.L. Li, Y. Li, Q.Y. Lin, L.X. Liu, F.D. Shi, S.W. Tang, G. Xu, X. Xu, L.Y. Zhang, X.H. Zhang, W. Zhang, M.H. Zhao, Z.Y. Guo, Y.H. Zhang, H.S. Xu, G.Q. Xiao, Phys. Rev. C 87, 044613 (2013).CrossRefADSGoogle Scholar
  43. 43.
    J. Lubian, T. Correa, E.F. Aguilera, L.F. Canto, A. Gomez-Camacho, E.M. Quiroz, P.R.S. Gomes, Phys. Rev. C 79, 064605 (2009).CrossRefADSGoogle Scholar
  44. 44.
    E.F. Aguilera, E. Martinez-Quiroz, D. Lizcano, A. Gómez-Camacho, J.J. Kolata, L.O. Lamm, V. Guimarães, R. Lichtenthäler, O. Camargo, F.D. Becchetti, H. Jiang, P.A. DeYoung, P.J. Mears, T.L. Belyaeva, Phys. Rev. C 79, 021601 (2009).CrossRefADSGoogle Scholar
  45. 45.
    R. Kumar, A. Bonaccorso, Phys. Rev. C 84, 014613 (2011).CrossRefADSGoogle Scholar
  46. 46.
    R. Kumar, A. Bonaccorso, Phys. Rev. C 86, 061601(R) (2012).CrossRefADSGoogle Scholar
  47. 47.
    N. Keeley, R.S. Mackintosh, C. Beck, Nucl. Phys. A 834, 792c (2010).CrossRefADSGoogle Scholar
  48. 48.
    W.G. Love, T. Terasawa, G.R. Satchler, Phys. Rev. Lett. 39, 6 (1977).CrossRefADSGoogle Scholar
  49. 49.
    W.G. Love, T. Terasawa, G.R. Satchler, Nucl. Phys. A 291, 183 (1977).CrossRefADSGoogle Scholar
  50. 50.
    A.J. Baltz, S.K. Kauffmann, N.K. Glendenning, K. Pruess, Phys. Rev. Lett. 40, 20 (1978).CrossRefADSGoogle Scholar
  51. 51.
    A.J. Baltz, N.K. Glendenning, S.K. Kauffmann, K. Pruess, Nucl. Phys. A 327, 221 (1979).CrossRefADSGoogle Scholar
  52. 52.
    G.R. Satchler, Direct Nuclear Reactions (Clarendon Press, Oxford, 1987).Google Scholar
  53. 53.
    R.S. Mackintosh, N. Keeley, Phys. Rev. C 79, 014611 (2009).CrossRefADSGoogle Scholar
  54. 54.
    V.V. Parkar, I. Martel, A.M. Sánchez-Benéz, L. Acosta, K. Rusek, L. Standylo, N. Keeley, Acta Phys. Pol. B 42, 761 (2011).CrossRefGoogle Scholar
  55. 55.
    M.V. Andrés, J. Gómez-Camacho, M.A. Nagarajan, Nucl. Phys. A 579, 273 (1994).CrossRefADSGoogle Scholar
  56. 56.
    W.E. Frahn, T.F. Hill, Z. Phys. A 285, 315 (1978).CrossRefADSGoogle Scholar
  57. 57.
    K. Rusek, Eur. Phys. J. A 41, 399 (2009).CrossRefADSGoogle Scholar
  58. 58.
    I.J. Thompson, Comput. Phys. Rep. 7, 167 (1988).CrossRefADSGoogle Scholar
  59. 59.
    R.A. Broglia, A. Winther, Heavy Ion Reaction Lecture Notes, Vol. 1: Elastic and Inelastic Reactions (Benjamin/Cummings, Reading, 1981).Google Scholar
  60. 60.
    S. Raman, C.W. Nestor, Jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).CrossRefADSGoogle Scholar
  61. 61.
    T. Kibédi, R.H. Spear, At. Data Nucl. Data Tables 80, 35 (2002).CrossRefADSGoogle Scholar
  62. 62.
    B. Pritychenko, M. Birch, B. Singh, M. Horoi, Nucl. Data Sheets 120, 111 (2014) arXiv:1312.5975 [nucl-th].ADSGoogle Scholar
  63. 63.
    N. Keeley, N. Alamanos, Phys. Rev. C 75, 054610 (2007).CrossRefADSGoogle Scholar
  64. 64.
    S. Santra, P. Singh, S. Kailas, A. Chatterjee, A. Shrivastava, K. Mahata, Phys. Rev. C 64, 024602 (2001).CrossRefADSGoogle Scholar
  65. 65.
    J.R.M. Annand, R.W. Finlay, F.S. Dietrich, Nucl. Phys. A 443, 249 (1985).CrossRefADSGoogle Scholar
  66. 66.
    A. Diaz-Torres, A.M. Moro, Phys. Lett. B 733, 89 (2014).CrossRefADSGoogle Scholar
  67. 67.
    E.E. Gross, T.P. Cleary, J.L.C. Ford, Jr., D.C. Hensley, K.S. Toth, F.T. Baker, A. Scott, C.R. Bingham, J.A. Vrba, Phys. Rev. C 29, 459 (1984).CrossRefADSGoogle Scholar
  68. 68.
    W.S. Churchill, speech broadcast on 1st October 1939.Google Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.National Centre for Nuclear ResearchOtwockPoland
  2. 2.Department of PhysicsThe Florida State UniversityTallahasseeUSA
  3. 3.Heavy Ion LaboratoryUniversity of WarsawWarsawPoland

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