Loop corrections and the Kmatrix formalism
Abstract
We propose a new model that combines the rigor of fullfledged loop calculations in field theory with the simplicity of the Kmatrix formalism for channelcoupling effects. We show, for one example, the equivalence of this new model, the renormalized ImKmatrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the Kmatrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys lowenergy theorems and is also an analytic function in the complex momentum plane.
 Authors:
 Kernfysisch Versneller Instituut, University of Groningen, 9747 AA Groningen (Netherlands)
 (RCNP), Osaka University, Ibaraki, Osaka 5670047 (Japan)
 Publication Date:
 OSTI Identifier:
 20995320
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.055203; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANALYTIC FUNCTIONS; CORRECTIONS; FIELD THEORIES; K MATRIX; LOWENERGY THEOREM; SCATTERING AMPLITUDES
Citation Formats
Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics. Loop corrections and the Kmatrix formalism. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.055203.
Scholten, O., Tamenaga, S., Toki, H., & Research Center for Nuclear Physics. Loop corrections and the Kmatrix formalism. United States. doi:10.1103/PHYSREVC.75.055203.
Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics. Tue .
"Loop corrections and the Kmatrix formalism". United States.
doi:10.1103/PHYSREVC.75.055203.
@article{osti_20995320,
title = {Loop corrections and the Kmatrix formalism},
author = {Scholten, O. and Tamenaga, S. and Toki, H. and Research Center for Nuclear Physics},
abstractNote = {We propose a new model that combines the rigor of fullfledged loop calculations in field theory with the simplicity of the Kmatrix formalism for channelcoupling effects. We show, for one example, the equivalence of this new model, the renormalized ImKmatrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the Kmatrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys lowenergy theorems and is also an analytic function in the complex momentum plane.},
doi = {10.1103/PHYSREVC.75.055203},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
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Scattering and reactions in a 4nucleon system within the framework of the Kmatrix formalism
Twoparticle processes in a fournucleon system are investigated within the framework of the multichannel Kmatrix formalism. The Kmatrix elements are approximated by the amplitudes of Feynman diagrams corresponding to the mechanisms of one and twonucleon exchange. These amplitudes are calculated by using the /sup 3/H (or /sup 3/He) wave functions obtained by solving the Faddeev equations for three different local nucleonnucleon potentials. The differential cross sections are calculated and the sensitivity of the results to the form of the NN interaction is analyzed. No free parameters are used in the calculations.