2016/07/19 by B. V. Carlson, Carlson, Brett V., T. Frederico +3
Earth and Planetary Sciences · Physics and Astronomy · #Atomic and Molecular Clusters (physics.atm-clus) #Atomic and Molecular Physics #Cold Fusion and Nuclear Reactions #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies
paper · pdf · doi:10.48550/arxiv.1607.05783
openalex publication_date 2016/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a model to treat the inclusive non-elastic break up reactions involving weakly bound three-cluster nuclei. Borromean, two-nucleon, halo nuclei are candidates of unstable three-fragments projectiles. The model is based on the theory of inclusive breakup reactions commonly employed in the treatment of incomplete fusion and surrogate method. The theory was developed in the 80's by Ichimura, Autern and Vincent (IAV) [Phys. Rev. C 32, 431 (1985)] \citeIAV1985, Udagawa and Tamura (UT)[Phys. Rev. C 24, 1348 (1981)], \citeUT1981 and Hussein and McVoy (HM)[Nucl. Phys. A 445, 124 (1985)], \citeHM1985. We extend these three-body theories to derive an expression for the fragment yield in the reaction A (a,b) X, where the projectile is a = x1 + x2 + b. The inclusive breakup cross section is found to be the sum of a generalized four-body form of the elastic breakup cross section plus the inclusive non-elastic breakup cross section which involves the "reaction" cross section of the participant fragments, x1 and x2. The final result is similar to the three-body case reviewed in Austern, et al. (Phys. Rep. 154, 125 (1987)), \citeAustern1987, but with important genuine four-body effects added, both in the elastic breakup cross section, which now contains the full correlations between the participant fragments, and in the inclusive non- elastic breakup. These developments should encourage experimentalists to seek more information about the x1 + x2 system in the elastic breakup cross section, and to theorists to further develop and extend the surrogate method, based on the inclusive non-elastic breakup part of the b spectrum.