Numerical assessment of post-prior equivalence for inclusive breakup reactions

Abstract

We address the problem of the post-prior equivalence in inclusive breakup reactions induced by weakly bound nuclei. The problem is studied within the distorted-wave Born approximation (DWBA) model of Ichimura, Austern, and Vincent [Phys. Rev. C 32, 431 (1985)]. The post and prior formulas obtained in this model are briefly recalled and applied to several breakup reactions induced by deuterons and 6 Li projectiles, to test their actual numerical equivalence. The different contributions of the prior-form formula are also discussed. A critical comparison with the prior-form DWBA model of Udagawa and Tamura [Phys. Rev. C 24, 1348] is also provided.

Current Status of Nuclear Physics Research

“…A semiclassical model has recently been developed [219]. In fact only in this year three papers have been written and will appear soon published in the journals [220][221][222].…”

Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model

“…As a second example, we calculate the inclusive α cross sections for the reaction 6 Li+ 159 Tb at bombarding energies of 27 MeV and 35 MeV and compare with the data from [14]. The 6 Li nucleus is treated within a twocluster model (α + d).…”

“…In this contribution, we have applied the finite-range DWBA version of IAV formalism [5,6] to different inclusive breakup reaction systems and compared with the available data.…”

Inclusive Breakup Theory of Three-Body Halos

“…These neutron capture reactions on other targets are also important for the study of element formation following supernova explosion through the astrophysical s-process. The general conclusion of [19][20][21]23] was that the Surrogate Method, the extraction of the cross section for the formation and decay of the compound nucleus of the (n + A) subsystem, as well as the total capture cross section (the cross section for the formation of the compound nucleus), is justified as long as the direct part of the cross section is calculated and subtracted from the inclusive breakup total reaction cross section σ (n+A)…”

“…Quite recently this theory was applied to the (d,p) reaction [19][20][21]23] as a mean to test the validity of the Surrogate Method [24][25][26], employed to extract neutron capture and fission cross sections of actinide target nuclei, such as 238 U, 232 Th, of importance for the development of next generation fast breeder reactors. These neutron capture reactions on other targets are also important for the study of element formation following supernova explosion through the astrophysical s-process.…”