Reaction-Mechanism Study in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mi>f</mi><mo>−</mo><mn>2</mn><mi>p</mi></math> Shell of (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>16</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">C</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>12</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>) Four-Nucleon-Transfer Reaction

P. Bonche; B. Giraud; A. Cunsolo; M. -C. Lemaire; M. C. Mermaz; J. -L. Québert

doi:10.1103/PhysRevC.6.577

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Reaction-Mechanism Study in the $1 f - 2 p$ Shell of ( ${}^{16}O$ , ${}^{12}C$ ) Four-Nucleon-Transfer Reaction

P. Bonche and B. Giraud

A. Cunsolo^*, M. -C. Lemaire, M. C. Mermaz, and J. -L. Québert^†

Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, France

Service de Physique Nucléaire à Basse Energie, Centre d'Etudes Nucléaires de Saclay, France

^*Visiting scientist on Contract No. BI-II/12766 with the Centre d'Etudes Nucléaires de Saclay and the Centro Siciliano di Fisica Nucleare e Struttura della Materia, Catania. On leave from the Istituto di Fisica Nucleare and the Istituto Nazionale di Fisica Nucleare, Universita di Catania, Italy.
^†Permanent address: Laboratoire de Physique Nucléaire, Université de Bordeaux, France.

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Phys. Rev. C 6, 577 – Published 1 August, 1972

DOI: https://doi.org/10.1103/PhysRevC.6.577

Abstract

The ( ${}^{16}O$ , ${}^{12}C$ ) four-nucleon-transfer reaction has been performed on a ${}^{54}{Fe}$ target using the 46-MeV ${}^{16}O$ beam of the FN tandem Van de Graaff at Saclay. The study of the reaction ${}^{54}{F e -}$ ( ${}^{16}O$ , ${}^{12}C$ ) ${}^{58}{Ni}$ shows that the four-nucleon transfer occurs via a direct surface reaction, well described by the quasielastic process formalism due to Frahn and Venter, which is based on the diffractional model. The transfer-reaction cross sections are peaked at the grazing angle where the elastic scattering begins to deviate from the pure Rutherford law. A distorted-wave Born-approximation investigation of nuclear properties of levels reached by ( ${}^{16}O$ , ${}^{12}C$ ) four-nucleon transfer has been performed using the SETILL code based on the generator-coordinate framework. The $Q$ -value dependence of the cross section, as well as the configuration mixing effects, has been estimated. The cases of other $1 f - 2 p$ -shell nuclei have been also investigated.

References (21)

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[c1] J.-C. Faivre, H. Faraggi, J. Gastebois, B. G. Harvey, M.-C. Lemaire, J.-M. Loiseaux, M. C. Mermaz, and A. Papineau, Phys. Rev. Letters 24, 1188 (1970) H. Faraggi, A. Jaffrin, M.-C. Lemaire, M. C. Mermaz, J.-C. Faivre, J. Gastebois, B. G. Harvey, J.-M. Loiseaux, and A. Papineau, Ann. Phys. (N.Y.) 66, 905 (1971) H. Faraggi, M.-C. Lemaire, J. M. Loiseaux, M. C. Mermaz, and A. Papineau, Phys. Rev. C 4, 1375 (1971)

[c2] V. Gillet, in Proceedings of the International Conference on Properties of Nuclear States, Montréal, Canada, 1969 (Presses de l'Université de Montréal, Montréal, Canada, 1969), p. 483 J. Phys. (Paris), 32, Colloque C6, C6-17 (1971) A. Arima and V. Gillet, Ann. Phys. (N.Y.), 66, 117 (1971)

[c3] W. E. Frahn and R. H. Venter, Nucl. Phys. 59, 651 (1964)

[c4] L. C. Northcliffe, Phys. Rev. 120, 1744 (1960) Ann. Rev. Nucl. Sci. 13, 67 (1963)

[c5] W. E. Frahn, Phys. Rev. Letters 26, 563 (1971)

[c6] W. E. Frahn and R. H. Venter, Ann. Phys. (N.Y.) 24, 243 (1963)

[c7] J. S. Blair, Phys. Rev. 95, 1218 (1954)

[c8] J. Raynal, Centre d'Etudes Nucléaires, Internal Report No. D.Ph-T/69-42 (unpublished)

[c9] G. Igo and R. M. Thaler, Phys. Rev. 106, 126 (1957)

[c10] W. Von Oertzen, J. Phys. (Paris) 32, Colloque C6, C6-233 (1971)

[c11] P. J. A. Buttle and L. J. B. Goldfarb, Nucl. Phys. A176, 299 (1971)

[c12] V. Gillet, B. Giraud, and M. Rho, Nucl. Phys. A103, 57 (1967)

[c13] A. Cunsolo, H. Faraggi, M.-C. Lemaire, J.-M. Loiseaux, M. C. Mermaz, A. Papineau, and J.-L. Québert, J. Phys. (Paris) 32, Colloque C6, C6-171 (1971)

[c14] P. Beuzit, R. Ballini, J. Delaunay, I. Fodor, J. P. Fouan, and J. Gastebois, J. Phys. (Paris) 32, Colloque C6, C6-139 (1971)

[c15] D. F. H. Start, R. Anderson, L. E. Carlson, A. G. Robertson, and M. A. Grace, Nucl. Phys. A162, 49 (1971)

[c16] P. Bonche and B. Giraud, in Proceedings of the Second Problem Symposium on Nuclear Physics, Novosibirsk, 1970 (to be published)

[c17] B. Giraud, J.-C. Hocquenghem, and A. Lumbroso, Colloque de la Toussuire Report No. LYCEN 71-04, 1971 (unpublished) B. Giraud and D. Zaikine, Phys. Letters 37B, 25 (1971)

[c18] J. Griffin and J. Wheller, Phys. Rev. 108, 311 (1957)

[c19] P. Bonche, Code SETILL, CEA-Report (to be published)

[c20] A. Arima, J. Phys. (Paris) 32, Colloque C6, C6-33 (1971)

[c21] R. N. Glover and A. McGregor, Phys. Letters 24B, 97 (1967)

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Reaction-Mechanism Study in the $1 f - 2 p$ Shell of ( ${}^{16}O$ , ${}^{12}C$ ) Four-Nucleon-Transfer Reaction

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Reaction-Mechanism Study in the 1f−2p Shell of (O16, C12) Four-Nucleon-Transfer Reaction

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Reaction-Mechanism Study in the $1 f - 2 p$ Shell of ( ${}^{16}O$ , ${}^{12}C$ ) Four-Nucleon-Transfer Reaction