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Title: Nucleon-nucleon scattering contribution to the triton binding energy

Abstract

We conjectured in 1972 that much of the dynamics of a few nucleon systems could be computed from the on-shell nucleon-nucleon scatterings provided that a consistent few body theory using this input could be constructed. Such a Zero Range Scattering Theory has been shown to lead to unitary three and four particle scattering amplitudes provided only the two particle amplitudes have no singularities other than bound state poles when continued to negative energies, which restricts the theory to Castillejo-Dalitz-Dyson solutions of the Low equation. We extend the model by rewriting the off-shell amplitude which drives the Faddeev equations. This amplitude retains full off-shell unitarity and still leads to unitary on-shell three particle amplitudes. This amounts to keeping any unitary two-nucleon amplitude on-shell and restricting the analytic continuation to negative energies to the term which represents the correct continuation of the two particle total partial wave cross section; the meson exchange or potential contributions are eliminated in the unphysical region, thus excising the left-hand cut. Using this model in the zero range Faddeev equations for the three nucleon system our preliminary results show that the on-shell scatterings bind the triton with about 2.5 MeV and are insensitive to the details ofmore » the fit.« less

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, CA (USA)
OSTI Identifier:
5906934
Report Number(s):
SLAC-PUB-3110; CONF-830833-1
ON: DE83011287
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: International conference on nuclear physics, Florence, Italy, 29 Aug 1983
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; TRITONS; BINDING ENERGY; NUCLEON-NUCLEON INTERACTIONS; NUCLEON-NUCLEON POTENTIAL; SCATTERING AMPLITUDES; THREE-BODY PROBLEM; AMPLITUDES; BARYON-BARYON INTERACTIONS; CHARGED PARTICLES; ENERGY; HADRON-HADRON INTERACTIONS; INTERACTIONS; MANY-BODY PROBLEM; PARTICLE INTERACTIONS; POTENTIALS; 651211* - Nuclear Properties & Reactions, A=1-5, Theoretical- Mass, Abundance, & Binding Energy- (-1987)

Citation Formats

Noyes, H P. Nucleon-nucleon scattering contribution to the triton binding energy. United States: N. p., 1983. Web.
Noyes, H P. Nucleon-nucleon scattering contribution to the triton binding energy. United States.
Noyes, H P. 1983. "Nucleon-nucleon scattering contribution to the triton binding energy". United States. https://www.osti.gov/servlets/purl/5906934.
@article{osti_5906934,
title = {Nucleon-nucleon scattering contribution to the triton binding energy},
author = {Noyes, H P},
abstractNote = {We conjectured in 1972 that much of the dynamics of a few nucleon systems could be computed from the on-shell nucleon-nucleon scatterings provided that a consistent few body theory using this input could be constructed. Such a Zero Range Scattering Theory has been shown to lead to unitary three and four particle scattering amplitudes provided only the two particle amplitudes have no singularities other than bound state poles when continued to negative energies, which restricts the theory to Castillejo-Dalitz-Dyson solutions of the Low equation. We extend the model by rewriting the off-shell amplitude which drives the Faddeev equations. This amplitude retains full off-shell unitarity and still leads to unitary on-shell three particle amplitudes. This amounts to keeping any unitary two-nucleon amplitude on-shell and restricting the analytic continuation to negative energies to the term which represents the correct continuation of the two particle total partial wave cross section; the meson exchange or potential contributions are eliminated in the unphysical region, thus excising the left-hand cut. Using this model in the zero range Faddeev equations for the three nucleon system our preliminary results show that the on-shell scatterings bind the triton with about 2.5 MeV and are insensitive to the details of the fit.},
doi = {},
url = {https://www.osti.gov/biblio/5906934}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Apr 01 00:00:00 EST 1983},
month = {Fri Apr 01 00:00:00 EST 1983}
}

Conference:
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