Show simple item record

dc.contributor.authorGómez Rocha, María
dc.contributor.authorRuiz Arriola, Enrique
dc.identifier.citationGómez-Rocha, M., & Arriola, E. R. (2020). Spectral-shift and scattering-equivalent Hamiltonians on a coarse momentum grid. Physics Letters B, 800, 135107.es_ES
dc.description.abstractThe solution of the scattering problem based on the Lippmann-Schwinger equation requires in many cases a discretization of the spectrum in the continuum which does not respect the unitary equivalence of the S-matrix on the finite grid. We present a new prescription for the calculation of phase shifts based on the shift that is produced in the spectrum of a Chebyshev-angle variable. This is analogous to the energy shift that is produced in the energy levels of a scattering process in a box, when an interaction is introduced. Our formulation holds for any momentum grid and preserves the unitary equivalence of the scattering problem on the finite momentum grid. We illustrate this procedure numerically considering the non-relativistic NN case for 1S0 and 3S1 channels. Our spectral shift formula provides much more accurate results than the previous ones and turns out to be at least as competitive as the standard procedures for calculating phase shifts.es_ES
dc.description.sponsorshipThis work is supported by the Spanish MINECO and European FEDER funds (grants FIS2014-59386-P and FIS2017-85053-C2-1-P) and Junta de Andalucía (grant FQM-225).es_ES
dc.publisherElsevier BVes_ES
dc.rightsAtribución 3.0 España*
dc.subjectLippmann-Schwinger equationes_ES
dc.subjectPhase shiftses_ES
dc.subjectMomentum grides_ES
dc.subjectEquivalent hamiltonianes_ES
dc.subjectScattering (Physics) es_ES
dc.titleSpectral-shift and scattering-equivalent Hamiltonians on a coarse momentum grides_ES

Files in this item


This item appears in the following Collection(s)

Show simple item record

Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España