Sequential amplitudes in heavy-ion induced two-proton transfer reactions

P. P. Tung; K. A. Erb; M. W. Sachs; G. B. Sherwood; R. J. Ascuitto; D. A. Bromley

doi:10.1103/PhysRevC.18.1663

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Sequential amplitudes in heavy-ion induced two-proton transfer reactions

P. P. Tung^*, K. A. Erb, M. W. Sachs^†, G. B. Sherwood, R. J. Ascuitto, and D. A. Bromley

A. W. Wright Nuclear Structure Laboratory, Physics Department, Yale University, New Haven, Connecticut 06520

^*Present address: Bell Telephone Laboratories, Murray Hill, New Jersey.
^†Present address: T. J. Watson Research Laboratories, Yorktown Heights, New York.

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Phys. Rev. C 18, 1663 – Published 1 October, 1978

DOI: https://doi.org/10.1103/PhysRevC.18.1663

Abstract

Angular distributions have been measured for the reactions ${}^{88}{Sr}$ ( ${}^{16}O$ , ${}^{14}C$ ) ${}^{90}{Zr}$ and ${}^{90}{Zr}$ ( ${}^{16}O$ , ${}^{14}C$ ) ${}^{92}{Mo}$ at 80 MeV, and ${}^{88}{Sr}$ ( ${}^{12}C$ , ${}^{10}{Be}$ ) ${}^{90}{Zr}$ and ${}^{90}{Zr}$ ( ${}^{12}C$ , ${}^{10}{Be}$ ) ${}^{92}{Mo}$ at 60 MeV. The data were analyzed with full recoil, coupled-channel Born approximation calculations, in which both direct (one-step) and sequential (two-step) reaction routes were considered. Detailed shell model wave functions were used to construct all form factors. The calculated sequential contributions to the cross sections were found to be significantly larger than those associated with direct transfer, and inclusion of the two-step routes substantially improved agreement with experiment. The calculated angular distribution shapes were found to depend on both the intermediate $Q$ value of the sequential process, and also on the microscopic configurations involved in the transfer. In addition, a previously unreported configuration dependence of the recoil corrections was noted in the calculations.

NUCLEAR REACTIONS ${}^{88}{Sr}$ ( ${}^{16}O$ , ${}^{16}O$ ), ${}^{88}{Sr}$ ( ${}^{16}O$ , ${}^{14}C$ ), ${}^{90}{Zr}$ ( ${}^{16}O$ , ${}^{16}O$ ), ${}^{90}{Zr}$ ( ${}^{16}O$ , ${}^{14}C$ ), $E = 80$ MeV; ${}^{88}{Sr}$ ( ${}^{12}C$ , ${}^{12}C$ , ${}^{12}C$ ), ${}^{88}{Sr}$ ( ${}^{12}C$ , ${}^{10}{Be}$ ), ${}^{90}{Zr}$ ( ${}^{12}C$ , ${}^{12}C$ ), ${}^{90}{Zr}$ ( ${}^{12}C$ , ${}^{10}{Be}$ ), $E = 60$ MeV; enriched targets, measured $σ (θ)$ . Finite range DWBA and CCBA analyses of direct and sequential transfer, compared with data.

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[c1] M. Toyama, Phys. Lett. 38B, 147 (1972)

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[c4] M. Igarashi, M. Kawai and K. Yazaki, Phys. Lett. 42B, 323 (1972)

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[c6] C. Gaarde and T. Kammuri, Nucl. Phys. A221, 238 (1974)

[c7] F. Osterfeld and H. H. Wolter, Phys. Lett. 60B, 253 (1976)

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[c9] D. H. Feng, T. Udagawa, and T. Tamura, Nucl. Phys. A274, 262 (1976)

[c10] K. A. Erb, D. L. Hanson, R. J. Ascuitto, B. Sorensen, and J. S. Vaagen, Phys. Rev. Lett. 33, 1102 (1974)

[c11] I. Talmi and I. Unna, Nucl. Phys. 19, 225 (1960)

[c12] S. Cohen, R. D. Lawson, M. H. MacFarlane, and M. Soga, Phys. Lett. 10, 195 (1964)

[c13] N. Auerbach and I. Talmi, Nucl. Phys. 64, 458 (1965)

[c14] J. Vervier, Nucl. Phys. 75, 17 (1966)

[c15] D. H. Gloeckner, M. H. MacFarlane, R. D. Lawson, and F. J. D. Serduke, Phys. Lett. 40B, 597 (1972)

[c16] J. B. Ball and J. B. McGrory, Phys. Lett. 41B, 581 (1972)

[c17] D. H. Gloecker and F. J. D. Serduke, Nucl. Phys. A220, 477 (1974)

[c18] N. Glendenning, in Proceedings of the International Conference on Reactions Between Complex Nuclei, Nashville, Tennessee, 1974, edited by R. L. Robinson, F. K. McGowan, J. B. Ball, and J. H. Hamilton (North-Holland, Amsterdam, 1974), Vol. II, p. 137

[c19] Omitted endnote

[c20] Omitted endnote

[c21] R. J. Ascuitto and N. K. Glendenning, Phys. Rev. 181, 1396 (1969)

[c22] Code lisa, developed by R. J. Ascuitto (unpublished)

[c23] G. B. Sherwood and R. J. Ascuitto (unpublished)

[c24] P. R. Christensen, I. Chernov, E. E. Gross, R. Stokstad, and F. Videbek, Nucl. Phys. A207, 433 (1973)

[c25] J. Bellicard and P. Leconte, Nucl. Phys. A143, 213 (1970)

[c26] K. Matsuda, Y. Awaya, N. Nakanishi, and S. Takeda, J. Phys. Soc. Jpn. 33, 298 (1972)

[c27] R. M. DeVries, G. R. Satchler, and J. G. Cramer, Phys. Rev. Lett. 32, 1377 (1974)

[c28] J. B. French, E. C. Halbert, J. B. McGrory and S. S. M. Wong, in Advances in Nuclear Physics, edited by M. Baranger and E. Vogt (Plenum, New York, 1969), Vol. III

[c29] Omitted endnote

[c30] J. Picard and G. Bassani, Nucl. Phys. A131, 636 (1969)

[c31] S. Cohen and D. Kurath, Nucl. Phys. A101, 1 (1967)

[c32] S. Cohen and D. Kurath, Nucl. Phys. A141, 145 (1970)

[c33] B. F. Bayman, Phys. Rev. Lett. 32, 71 (1974)

[c34] T. Takemasa, Phys. Lett. 55B, 28 (1975)

[c35] R. Bass, Nucl. Phys. A231, 45 (1974)

[c36] A. J. Baltz and S. Kahana, Phys. Rev. Lett. 29, 1267 (1972)

[c37] L. A. Charlton, Nucl. Phys. A241, 144 (1975)

[c38] J. F. Petersen, D. A. Lewis, D. Denhard, H. P. Morse, and B. F. Bayman, Phys. Rev. Lett. 36, 307 (1976)

[c39] Y. Eisen, H. T. Fortune, W. Henning, D. G. Kovar, S. Vigdor, and B. Zeidman, Phys. Rev. C 13, 699 (1976)

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Sequential amplitudes in heavy-ion induced two-proton transfer reactions

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