English

Breakup of a nucleus with two weakly bound neutrons on a proton target: Single-scattering approximation

Nuclear Theory 2015-06-15 v1 Nuclear Experiment

Abstract

Three- and four-cluster breakup reactions in the 16{}^{16}C-proton scattering are studied using three-body core-neutron-neutron model for 16{}^{16}C. Single-scattering approximation (SSA) of four-particle equations for transition operators is used to calculate three- and four-cluster breakup amplitudes at 200 and 300 MeV/nucleon energy near proton-neutron (pnpn) quasi free scattering (QFS) conditions. The differential cross section is sharply peaked at pnpn QFS point and decreases rapidly whenever kinematical conditions deviate from pnpn QFS. The accuracy of the SSA for the three-cluster breakup is estimated from a three-body model and is found to be as good as 6\% at higher reaction energies in suitable angular regimes. Furthermore, under an additional approximation the three-cluster breakup amplitude factorizes into the pnpn transition operator and the overlap integral of two- and three-particle bound states. That approximation usually reduces the cross section, in some cases even up to 10\%.

Keywords

Cite

@article{arxiv.1302.6490,
  title  = {Breakup of a nucleus with two weakly bound neutrons on a proton target: Single-scattering approximation},
  author = {A. Deltuva},
  journal= {arXiv preprint arXiv:1302.6490},
  year   = {2015}
}

Comments

8 pages, 5 figures, to be published in Phys. Rev. C