Toward a complete theory for predicting inclusive deuteron breakup away from stability

  • G. Potel
  • G. Perdikakis
  • B. V. Carlson
  • M. C. Atkinson
  • W. H. Dickhoff
  • J. E. Escher
  • M. S. Hussein
  • J. Lei
  • W. Li
  • A. O. Macchiavelli
  • A. M. Moro
  • F. M. Nunes
  • S. D. Pain
  • J. Rotureau
Regular Article - Theoretical Physics

Abstract.

We present an account of the current status of the theoretical treatment of inclusive (d, p) reactions in the breakup-fusion formalism, pointing to some applications and making the connection with current experimental capabilities. Three independent implementations of the reaction formalism have been recently developed, making use of different numerical strategies. The codes also originally relied on two different but equivalent representations, namely the prior (Udagawa-Tamura, UT) and the post (Ichimura-Austern-Vincent, IAV) representations. The different implementations have been benchmarked for the first time, and then applied to the Ca isotopic chain. The neutron-Ca propagator is described in the Dispersive Optical Model (DOM) framework, and the interplay between elastic breakup (EB) and non-elastic breakup (NEB) is studied for three Ca isotopes at two different bombarding energies. The accuracy of the description of different reaction observables is assessed by comparing with experimental data of (d, p) on 40,48Ca. We discuss the predictions of the model for the extreme case of an isotope (60Ca) currently unavailable experimentally, though possibly available in future facilities (nominally within production reach at FRIB). We explore the use of (d, p) reactions as surrogates for \((n,\gamma )\) processes, by using the formalism to describe the compound nucleus formation in a \((d,p\gamma )\) reaction as a function of excitation energy, spin, and parity. The subsequent decay is then computed within a Hauser-Feshbach formalism. Comparisons between the \((d,p\gamma )\) and \((n,\gamma )\) induced gamma decay spectra are discussed to inform efforts to infer neutron captures from \((d,p\gamma )\) reactions. Finally, we identify areas of opportunity for future developments, and discuss a possible path toward a predictive reaction theory.

References

  1. 1.
    A. Arcones, D.W. Bardayan, T.C. Beers, L.A. Bernstein, J.C. Blackmon, B. Messer, B.A. Brown, E.F. Brown, C.R. Brune, A.E. Champagne, A. Chieffi, A.J. Couture, P. Danielewicz, R. Diehl, M. El-Eid, J.E. Escher, B.D. Fields, C. Frhlich, F. Herwig, W.R. Hix, C. Iliadis, W.G. Lynch, G.C. McLaughlin, B.S. Meyer, A. Mezzacappa, F. Nunes, B.W. O’ Shea, M. Prakash, B. Pritychenko, S. Reddy, E. Rehm, G. Rogachev, R.E. Rutledge, H. Schatz, M.S. Smith, I.H. Stairs, A.W. Steiner, T.E. Strohmayer, F. Timmes, D.M. Townsley, M. Wiescher, R.G. Zegers, M. Zingale, Prog. Part. Nucl. Phys. 94, 1 (2017)ADSCrossRefGoogle Scholar
  2. 2.
    J. Carlson, M.P. Carpenter, R. Casten, C. Elster, P. Fallon, A. Gade, C. Gross, G. Hagen, A.C. Hayes, D.W. Higinbotham, C.R. Howell, C.J. Horowitz, K.L. Jones, F.G. Kondev, S. Lapi, A. Macchiavelli, E.A. McCutchen, J. Natowitz, W. Nazarewicz, T. Papenbrock, S. Reddy, M.A. Riley, M.J. Savage, G. Savard, B.M. Sherrill, L.G. Sobotka, M.A. Stoyer, M.B. Tsang, K. Vetter, I. Wiedenhoever, A.H. Wuosmaa, S. Yennello, Prog. Part. Nucl. Phys. 94, 68 (2017)ADSCrossRefGoogle Scholar
  3. 3.
    Q. Ducasse, B. Jurado, M. Aïche, P. Marini, L. Mathieu, A. Görgen, M. Guttormsen, A.C. Larsen, T. Tornyi, J.N. Wilson, G. Barreau, G. Boutoux, S. Czajkowski, F. Giacoppo, F. Gunsing, T.W. Hagen, M. Lebois, J. Lei, V. Méot, B. Morillon, A.M. Moro, T. Renstrø, Phys. Rev. C 94, 024614 (2016)ADSCrossRefGoogle Scholar
  4. 4.
    P. Navrátil, Quaglioni, Sofia, Phys. Rev. Lett. 108, 042503 (2012)ADSCrossRefGoogle Scholar
  5. 5.
    F. Raimondi, G. Hupin, P. Navrátil, Quaglioni, Sofia, Phys. Rev. C 93, 054606 (2016)ADSCrossRefGoogle Scholar
  6. 6.
    H. Feshbach, Ann. Phys. 5, 357 (1958)ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    H. Feshbach, Ann. Phys. 19, 287 (1962)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    J.S. Bell, E.J. Squires, Phys. Rev. Lett. 3, 96 (1959)ADSCrossRefGoogle Scholar
  9. 9.
    F. Villars, Fundamentals in Nuclear Theory (IAEC, Vienna, 1967) chapt. 5Google Scholar
  10. 10.
    J.P. Blaizot, G. Ripka, Quantum Theory of Finite Systems (MIT Press, Massachussets, 1986)Google Scholar
  11. 11.
    W.H. Dickhoff, D. Van Neck, Many-Body Theory Exposed!, 2nd edition (World Scientific, New Jersey, 2008)Google Scholar
  12. 12.
    R.L. Varner, W.J. Thompson, T.L. McAbee, E.J. Ludwig, T.B. Clegg, Phys. Rep. 201, 57 (1991)ADSCrossRefGoogle Scholar
  13. 13.
    A.J. Koning, J.P. Delaroche, Nucl. Phys. A 713, 231 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    B.A. Brown, Prog. Part. Nucl. Phys. 47, 517 (2001)ADSCrossRefGoogle Scholar
  15. 15.
    E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A.P. Zuker, Rev. Mod. Phys. 77, 427 (2005)ADSCrossRefGoogle Scholar
  16. 16.
    C. Mahaux, R. Sartor, Phys. Rev. Lett. 57, 3015 (1986)ADSCrossRefGoogle Scholar
  17. 17.
    C. Mahaux, R. Sartor, Single-Particle Motion in Nuclei, in Advances in Nuclear Physics, Vol. 20 (Springer US, 1991) pp. 1--223Google Scholar
  18. 18.
    R. Serber, Phys. Rev. 72, 1008 (1947)ADSCrossRefGoogle Scholar
  19. 19.
    G. Baur, D. Trautmann, Phys. Rep. 25, 293 (1976)ADSCrossRefGoogle Scholar
  20. 20.
    A. Kerman, K. McVoy, Ann. Phys. 122, 197 (1979)ADSCrossRefGoogle Scholar
  21. 21.
    T. Udagawa, T. Tamura, Phys. Rev. C 24, 1348 (1981)ADSCrossRefGoogle Scholar
  22. 22.
    G. Baur, F. Rösel, D. Trautmann, R. Shyam, Phys. Rep. 111, 333 (1984)ADSCrossRefGoogle Scholar
  23. 23.
    M. Ichimura, N. Austern, C.M. Vincent, Phys. Rev. C 32, 431 (1985)ADSCrossRefGoogle Scholar
  24. 24.
    M. Hussein, K. McVoy, Nucl. Phys. A 445, 124 (1985)ADSCrossRefGoogle Scholar
  25. 25.
    A. Kasano, M. Ichimura, Phys. Lett. B 115, 81 (1982)ADSCrossRefGoogle Scholar
  26. 26.
    M.S. Hussein, Phys. Rev. C 30, 1962 (1984)ADSCrossRefGoogle Scholar
  27. 27.
    N. Austern, Y. Iseri, M. Kamimura, M. Kawai, G. Rawitscher, M. Yahiro, Phys. Rep. 154, 125 (1987)ADSCrossRefGoogle Scholar
  28. 28.
    M. Ichimura, Phys. Rev. C 41, 834 (1990)ADSCrossRefGoogle Scholar
  29. 29.
    M. Hussein, T. Frederico, R. Mastroleo, Nucl. Phys. A 511, 269 (1990)ADSCrossRefGoogle Scholar
  30. 30.
    G. Potel, F.M. Nunes, I.J. Thompson, Phys. Rev. C 92, 034611 (2015)ADSCrossRefGoogle Scholar
  31. 31.
    J.E. Escher, J.T. Burke, F.S. Dietrich, N.D. Scielzo, I.J. Thompson, W. Younes, Rev. Mod. Phys. 84, 353 (2012)ADSCrossRefGoogle Scholar
  32. 32.
    J. Lei, A.M. Moro, Phys. Rev. C 92, 044616 (2015)ADSCrossRefGoogle Scholar
  33. 33.
    J. Lei, A.M. Moro, Phys. Rev. C 92, 061602 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    B.V. Carlson, R. Capote, M. Sin, Few-Body Syst. 57, 307 (2016)ADSCrossRefGoogle Scholar
  35. 35.
    J. Lighthall et al., Nucl. Instrum. Methods Phys. Res. A 622, 97 (2010)ADSCrossRefGoogle Scholar
  36. 36.
    S. Paschalis, I. Lee, A. Macchiavelli, C. Campbell, M. Cromaz, S. Gros, J. Pavan, J. Qian, R. Clark, H. Crawford, D. Doering, P. Fallon, C. Lionberger, T. Loew, M. Petri, T. Stezelberger, S. Zimmermann, D. Radford, K. Lagergren, D. Weisshaar, R. Winkler, T. Glasmacher, J. Anderson, C. Beausang, Nucl. Instrum. Methods Phys. Res. A 709, 44 (2013)ADSCrossRefGoogle Scholar
  37. 37.
    A. Kankainen, P.J. Woods, F. Nunes, C. Langer, H. Schatz, V. Bader, T. Baugher, D. Bazin, B.A. Brown, J. Browne, D.T. Doherty, A. Estrade, A. Gade, A. Kontos, G. Lotay, Z. Meisel, F. Montes, S. Noji, G. Perdikakis, J. Pereira, F. Recchia, T. Redpath, R. Stroberg, M. Scott, D. Seweryniak, J. Stevens, D. Weisshaar, K. Wimmer, R. Zegers, Eur. Phys. J. A 52, 6 (2016)ADSCrossRefGoogle Scholar
  38. 38.
    J. Lei, A.M. Moro, Phys. Rev. C 95, 044605 (2017)ADSCrossRefGoogle Scholar
  39. 39.
    W.H. Dickhoff, R.J. Charity, M.H. Mahzoon, J. Phys. G.: Nucl. Part. Phys. 44, 033001 (2017)ADSCrossRefGoogle Scholar
  40. 40.
    T. Udagawa, B.T. Kim, T. Tamura, Phys. Rev. C 32, 124 (1985)ADSCrossRefGoogle Scholar
  41. 41.
    M. Dupuis, T. Kawano, J.P. Delaroche, E. Bauge, Phys. Rev. C 83, 014602 (2011)ADSCrossRefGoogle Scholar
  42. 42.
    G. Blanchon, M. Dupuis, H.F. Arellano, Eur. Phys. J. A 51, 165 (2015)ADSCrossRefGoogle Scholar
  43. 43.
    W. Hauser, H. Feshbach, Phys. Rev. 87, 366 (1952)ADSCrossRefGoogle Scholar
  44. 44.
    R. Capote, M. Herman, P. Oblozinský, Nucl. Data Sheets 110, 3107 (2009)ADSCrossRefGoogle Scholar
  45. 45.
    C. Forssén, F. Dietrich, J. Escher, R. Hoffman, K. Kelley, Phys. Rev. C 75, 055807 (2007)ADSCrossRefGoogle Scholar
  46. 46.
    J.E. Escher, F.S. Dietrich, Phys. Rev. C 81, 024612 (2010)ADSCrossRefGoogle Scholar
  47. 47.
    N.D. Scielzo, J.E. Escher, J.M. Allmond, M.S. Basunia, C.W. Beausang, L.A. Bernstein, D.L. Bleuel, J.T. Burke, R.M. Clark, F.S. Dietrich, P. Fallon, J. Gibelin, B.L. Goldblum, S.R. Lesher, M.A. McMahan, E.B. Norman, L. Phair, E. Rodriquez-Vieitez, S.A. Sheets, I.J. Thompson, M. Wiedeking, Phys. Rev. C 81, 034608 (2010)ADSCrossRefGoogle Scholar
  48. 48.
    R.J. Charity, L.G. Sobotka, W.H. Dickhoff, Phys. Rev. Lett. 97, 162503 (2006)ADSCrossRefGoogle Scholar
  49. 49.
    R.J. Charity, J.M. Mueller, L.G. Sobotka, W.H. Dickhoff, Phys. Rev. C 76, 044314 (2007)ADSCrossRefGoogle Scholar
  50. 50.
    J.M. Mueller, R.J. Charity, R. Shane, L.G. Sobotka, S.J. Waldecker, W.H. Dickhoff, A.S. Crowell, J.H. Esterline, B. Fallin, C.R. Howell, C. Westerfeldt, M. Youngs, B.J. Crowe, R.S. Pedroni, Phys. Rev. C 83, 064605 (2011)ADSCrossRefGoogle Scholar
  51. 51.
    S.J. Waldecker, C. Barbieri, W.H. Dickhoff, Phys. Rev. C 84, 034616 (2011)ADSCrossRefGoogle Scholar
  52. 52.
    H. Dussan, S.J. Waldecker, W.H. Dickhoff, H. Müther, A. Polls, Phys. Rev. C 84, 044319 (2011)ADSCrossRefGoogle Scholar
  53. 53.
    M.H. Mahzoon, R.J. Charity, W.H. Dickhoff, H. Dussan, S.J. Waldecker, Phys. Rev. Lett. 112, 162503 (2014)ADSCrossRefGoogle Scholar
  54. 54.
    J. Pampus, J. Bisplinghoff, J. Ernst, T. Mayer-Kuckuk, J. Rama Rao, G. Baur, F. Rösel, D. Trautmann, Nucl. Phys. A 311, 141 (1978)ADSCrossRefGoogle Scholar
  55. 55.
    J. Kleinfeller, J. Bisplinghoff, J. Ernst, T. Mayer-Kuckuk, G. Baur, B. Hoffmann, R. Shyam, F. Rösel, D. Trautmann, Nucl. Phys. A 370, 205 (1981)ADSCrossRefGoogle Scholar
  56. 56.
    R.C. Mastroleo, T. Udagawa, M.G. Mustafa, Phys. Rev. C 42, 683 (1990)ADSCrossRefGoogle Scholar
  57. 57.
    Y. Han, Y. Shi, Q. Shen, Phys. Rev. C 74, 044615 (2006)ADSCrossRefGoogle Scholar
  58. 58.
    G. Hagen, M. Hjorth-Jensen, G.R. Jansen, R. Machleidt, T. Papenbrock, Phys. Rev. Lett. 109, 032502 (2012)ADSCrossRefGoogle Scholar
  59. 59.
    G. Brown, A. Denning, J. Haigh, Nucl. Phys. A 225, 267 (1974)ADSCrossRefGoogle Scholar
  60. 60.
    Y. Uozumi, O. Iwamoto, S. Widodo, A. Nohtomi, T. Sakae, M. Matoba, M. Nakano, T. Maki, N. Koori, Nucl. Phys. A 576, 123 (1994)ADSCrossRefGoogle Scholar
  61. 61.
    N.B. Nguyen, S.J. Waldecker, F.M. Nunes, R.J. Charity, W.H. Dickhoff, Phys. Rev. C 84, 044611 (2011)ADSCrossRefGoogle Scholar
  62. 62.
    S. Ota, J.T. Burke, R.J. Casperson, J.E. Escher, R.O. Hughes, J.J. Ressler, N.D. Scielzo, I.J. Thompson, R.A.E. Austin, B. Abromeit, N.J. Foley, E. McCleskey, M. McCleskey, H.I. Park, A. Saastamoinen, T.J. Ross, Phys. Rev. C 92, 054603 (2015)ADSCrossRefGoogle Scholar
  63. 63.
    R. Hatarik, L.A. Bernstein, J.A. Cizewski, D.L. Bleuel, J.T. Burke, J.E. Escher, J. Gibelin, B.L. Goldblum, A.M. Hatarik, S.R. Lesher, P.D. O’Malley, L. Phair, E. Rodriguez-Vieitez, T. Swan, M. Wiedeking, Phys. Rev. C 81, 011602 (2010)ADSCrossRefGoogle Scholar
  64. 64.
    K. Shibata, O. Iwamoto, T. Nakagawa, N. Iwamoto, A. Ichihara, S. Kunieda, S. Chiba, K. Furutaka, N. Otuka, T. Ohasawa, T. Murata, H. Matsunobu, A. Zukeran, S. Kamada, J. Katakura, J. Nucl. Sci. Technol. 48, 1 (2011)CrossRefGoogle Scholar
  65. 65.
    M. Chadwick, M. Herman, P. Oblož, Nucl. Data Sheets 112, 2887 (2011)ADSCrossRefGoogle Scholar
  66. 66.
    A. Ratkiewicz, J. Cizewski, S. Pain, A. Adekola, J. Burke, R. Casperson, N. Fotiades, M. McCleskey, S. Burcher, C. Shand, R. Austin, T. Baugher, M. Carpenter, M. Devlin, J. Escher, S. Hardy, R. Hatarik, M. Howard, R. Hughes, K. Jones, R. Kozub, C. Lister, B. Manning, J. O’Donnell, W. Peters, T. Ross, N. Scielzo, D. Seweryniak, S. Zhu, EPJ Web of Conferences 93, 02012 (2015)CrossRefGoogle Scholar
  67. 67.
    A. Ratkiewicz, J. Cizewski, J. Escher, G. Potel, Neutron capture on exotic nuclei: Validating the $(d,p\gamma)$ reaction as a surrogate, in preparation (2017)Google Scholar
  68. 68.
    J.E. Escher, J.T. Burke, ${}^{89}$Y$(n,\gamma)$ and ${}^{90}$Zr$(n,\gamma)$ from $(p,d\gamma)$ measurements, in preparation (2017)Google Scholar
  69. 69.
    J. Rotureau, P. Danielewicz, G. Hagen, F.M. Nunes, T. Papenbrock, Phys. Rev. C 95, 024315 (2017)ADSCrossRefGoogle Scholar
  70. 70.
    B.V. Carlson, T. Frederico, M.S. Hussein, Phys. Lett. B 767, 53 (2017)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • G. Potel
    • 1
  • G. Perdikakis
    • 1
    • 2
    • 3
  • B. V. Carlson
    • 4
  • M. C. Atkinson
    • 5
  • W. H. Dickhoff
    • 5
  • J. E. Escher
    • 6
  • M. S. Hussein
    • 4
    • 7
    • 8
  • J. Lei
    • 9
  • W. Li
    • 1
  • A. O. Macchiavelli
    • 10
  • A. M. Moro
    • 9
  • F. M. Nunes
    • 1
    • 11
  • S. D. Pain
    • 12
  • J. Rotureau
    • 1
  1. 1.Facility for Rare Isotope BeamsMichigan State UniversityEast LansingUSA
  2. 2.Department of PhysicsCentral Michigan UniversityMt. PleasantUSA
  3. 3.Joint Institute for Nuclear AstrophysicsCenter for the Evolution of the ElementsEast LansingUSA
  4. 4.Instituto Tecnológico de AeronáuticaDCTASão José dos CamposBrazil
  5. 5.Department of PhysicsWashington UniversitySt. LouisUSA
  6. 6.Lawrence Livermore National LaboratoryLivermoreUSA
  7. 7.Departamento de Física Matemática, Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  8. 8.Instituto de Estudos AvançadosUniversidade de São PauloSão PauloBrazil
  9. 9.Departamento de FAMNUniversidad de SevillaSevillaSpain
  10. 10.Nuclear Science DivisionLawrence Berkeley National LaboratoryBerkeleyUSA
  11. 11.Department of Physics and AstronomyMichigan State UniversityEast LansingUSA
  12. 12.Physics DivisionOak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations