Inclusive breakup of three-fragment weakly bound nuclei

Abstract

The inclusive breakup of three-fragment projectiles is discussed within a four-body spectator model. Both the elastic breakup and the non-elastic breakup are obtained in a unified framework. Originally developed in the 80's for two-fragment projectiles such as the deuteron, in this paper the theory is successfully generalized to three-fragment projectiles. The expression obtained for the inclusive cross section allows the extraction of the incomplete fusion cross section, and accordingly generalizes the surrogate method to cases such as (t,p) and (t,n) reactions. It is found that two-fragment correlations inside the projectile affect in a conspicuous way the elastic breakup cross section. The inclusive non-elastic breakup cross section is calculated and is found to contain the contribution of a three-body absorption term that is also strongly influenced by the two-fragment correlations. This latter cross section contains the so-called incomplete fusion where more than one compound nuclei are formed. Our theory describes both stable weakly bound three-fragment projectiles and unstable ones such as the Borromean nuclei.

arXiv comment6 pages, 1 figure. arXiv admin note: text overlap with arXiv:1607.05783

References in corpus (3)

• Effect of continuum couplings in fusion of halo ${}^{11}$Be on ${}^{208}$Pb around the Coulomb barrier
• Importance of lifetime effects in breakup and suppression of complete fusion in reactions of weakly bound nuclei
• Current Status of Nuclear Physics Research

Cited by in corpus (8)

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• Two-step nuclear reactions: The Surrogate Method, the Trojan Horse Method and their common foundations
• Inclusive Breakup Cross Sections in Reactions Induced by the Nuclides ${}^6$He and ${}^{6,7}$Li in the Two-Body Cluster Model
• Inclusive Breakup Theory of Three-Body Halos
• Neutron capture cross sections of radioactive nuclei