English

Bound state techniques to solve the multiparticle scattering problem

Nuclear Theory 2015-06-17 v1 Quantum Gases Mathematical Physics math.MP Quantum Physics

Abstract

Solution of the scattering problem turns to be very difficult task both from the formal as well as from the computational point of view. If the last two decades have witnessed decisive progress in ab initio bound state calculations, rigorous solution of the scattering problem remains limited to A\leq4 case. Therefore there is a rising interest to apply bound-state-like methods to handle non-relativistic scattering problems. In this article the latest theoretical developments in this field are reviewed. Five fully rigorous methods will be discussed, which address the problem of nuclear collisions in full extent (including the break-up problem) at the same time avoiding treatment of the complicate boundary conditions or integral kernel singularities. These new developments allows to use modern bound-state techniques to advance significantly rigorous solution of the scattering problem.

Keywords

Cite

@article{arxiv.1310.6631,
  title  = {Bound state techniques to solve the multiparticle scattering problem},
  author = {J. Carbonell and A. Deltuva and A. C. Fonseca and R. Lazauskas},
  journal= {arXiv preprint arXiv:1310.6631},
  year   = {2015}
}

Comments

To appear in Progress in Particle and Nuclear Physics

R2 v1 2026-06-22T01:53:29.263Z