Barletta, P;
Romero-Redondo, C;
Kievsky, A;
Viviani, M;
Garrido, E;
(2009)
Integral Relations for Three-Body Continuum States with the Adiabatic Expansion.
PHYS REV LETT
, 103
(9)
, Article 090402. 10.1103/PhysRevLett.103.090402.
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Abstract
The application of the hyperspherical adiabatic expansion to describe three-body scattering states suffers from the problem of very slow convergence. Contrary to what happens for bound states, a huge number of hyper-radial equations has to be solved, and even if done, the extraction of the scattering amplitude is problematic. In this Letter we show how to obtain accurate scattering phase shifts using the hyperspherical adiabatic expansion. To this aim two integral relations, derived from the Kohn variational principle, are used. The convergence of this procedure is as fast as for bound states.
| Type: | Article |
|---|---|
| Title: | Integral Relations for Three-Body Continuum States with the Adiabatic Expansion |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.103.090402 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.103.090402 |
| Language: | English |
| Additional information: | © 2009 The American Physical Society |
| Keywords: | 3-NUCLEON CONTINUUM |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/131630 |
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