The ${}^4$He$(e,e^{\prime }p{)}^3$H Reaction with Full Final--State Interaction

Abstract

An {\it ab initio} calculation of the ${}^4$He$(e,e^{\prime }p{)}^3$H longitudinal response is presented. The use of the integral transform method with a Lorentz kernel has allowed to take into account the full four--body final state interaction (FSI). The semirealistic nucleon-nucleon potential MTI--III and the Coulomb force are the only ingredients of the calculation. The reliability of the direct knock--out hypothesis is discussed both in parallel and in non parallel kinematics. In the former case it is found that lower missing momenta and higher momentum transfers are preferable to minimize effects beyond the plane wave impulse approximation (PWIA). Also for non parallel kinematics the role of antisymmetrization and final state interaction become very important with increasing missing momentum, raising doubts about the possibility of extracting momentum distributions and spectroscopic factors. The comparison with experimental results in parallel kinematics, where the Rosenbluth separation has been possible, is discussed.

17 pages, 5 figures

References in corpus (15)

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Cited by in corpus (9)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Bound state techniques to solve the multiparticle scattering problem
• Inclusive electron scattering off 4He
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• The Lorentz Integral Transform and its Inversion
• Photodisintegration of light nuclei for testing a correlated realistic interaction in the continuum
• Ab initio calculation of the 4He(e,e'd)d reaction
• The Lorentz integral transform (LIT) method