Assessing the foundation of the Trojan Horse Method

Abstract

We discuss the foundation of the Trojan Horse Method (THM) within the Inclusive Non-Elastic Breakup (INEB) theory. We demonstrate that the direct part of the INEB cross section, which is of two-step character, becomes, in the DWBA limit of the three-body theory with appropriate approximations and redefinitions, similar in structure to the one-step THM cross section. We also discuss the connection of the THM to the Surrogate Method (SM), which is a genuine two-step process.

arXiv comment6 pages. Version accepted for publication in Physics Letters B

References in corpus (7)

• Nuclear Astrophysics with Radioactive Beams
• First application of the Trojan Horse Method with a Radioactive Ion Beam: study of the ${}^{18}$F($p,\alpha$)${}^{15}$O}} reaction at astrophysical energies
• Theory of the Trojan-Horse Method
• Cross sections for neutron capture from surrogate measurements: An examination of Weisskopf-Ewing and ratio approximations
• Inclusive breakup of three-fragment weakly bound nuclei
• Two-step nuclear reactions: The Surrogate Method, the Trojan Horse Method and their common foundations
• Inclusive breakup of Borromean nuclei

Cited by in corpus (7)

• Astronuclear Physics: a Tale of the Atomic Nuclei in the Skies
• Novel Techniques for Constraining Neutron-Capture Rates Relevant for r-Process Heavy-Element Nucleosynthesis
• Unraveling the reaction mechanisms leading to partial fusion of weakly bound nuclei
• Trojan horse method as surrogate indirect approach to study resonant reactions in nuclear astrophysics
• Indirect Measurement of the ${\mathrm{S}}^{\ast }(\mathrm{E})$ Factor for ${}^{12}\mathrm{C}({}^{12}\mathrm{C},p){}^{23}\mathrm{Na}$ at Gamow Energies via the Trojan Horse Method with Near-0 degree Spectator Detection
• ${\mathrm{S}}^{\ast }(\mathrm{E})$ measurement of the ${}^{12}\mathrm{C}({}^{12}\mathrm{C},\alpha ){}^{20}\mathrm{Ne}$ reaction at astrophysical energies via the Trojan horse method with ${}^{16}\mathrm{O}$ quasi-free breakup
• Neutron capture cross sections of radioactive nuclei