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Title: Advancing the Theory of Nuclear Reactions with Rare Isotopes: From the Laboratory to the Cosmos

The mission of the TORUS Topical Collaboration is to develop new methods that will advance nuclear reaction theory for unstable isotopes by using three-body techniques to improve direct-reaction calculations, and, by using a new partial-fusion theory, to integrate descriptions of direct and compound-nucleus reactions. Ohio University concentrates its efforts on the first part of the mission. Since direct measurements are often not feasible, indirect methods, e.g. (d,p) reactions, should be used. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. Faddeev equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. While there exist several separable representations for the nucleon-nucleon interaction, the optical potential between a neutron (proton) and a nucleus is not readily available in separable form. For this reason we first embarked in introducing a separable representation for complex phenomenological optical potentials of Woods-Saxon type.
  1. Ohio Univ., Athens, OH (United States)
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Resource Type:
Technical Report
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Related Information: Published papersS.P. Weppner and Ch. Elster, Elastic Scattering of $^6$He based on a Cluster Description, Physical Review C{\bf 85}, 044617 (2012)A. Orazbayev, Ch. Elster, S.P. Weppner, Open shell effects in a microscopic optical potential for elastic scattering of $^{6(8)}$He,L. Hlophe, Ch. Elster, R.C. Johnson, N.J. Upadhyay, F.M. Nunes, G. Arbanas, V. Eremenko, J.E. Escher, I.J. Thompson,Separable Representation of Phenomenological Optical Potentials of Woods-Saxon Type, Physical Review C{\bf 88}, 064608 (2013)J.E. Escher, I.J. Thompson, G. Arbanas, Ch. Elster, V. Eremenko, L. Hlophe, F.M. Nunes, Reexamining surface-integral formulations for one-nucleon transfers to bound and resonancestates, Physical Review C{\bf 89}, 054605 (2014)W.N. Polyzou and Ch. Elster, Relativistic Formulation of Reaction Theory, J. Phys. {\bf G41}, 094006 (2014)N.J. Upadhyay, V. Eremenko, L.Hlophe, F.M. Nunes, Ch. Elster, G. Arbanas, J.E. Escher, I.J. Thompson, Coulomb problem in momentum space without screening,Physical Review C{\bf 90}, 014615 (2014).L. Hlophe, V. Eremenko, Ch. Elster, F.M. Nunes, G. Arbanas, J.E. Escher, I.J. Thompson, Separable Representation of Proton-Nucleus Optical Potentials, Physical Review C{\bf 90}, 061602(R) (2014)C. Ji, Ch. Elster, D.R. Phillips, $^6$He nucleus in halo effective field theory, Physical Review C{\bf 90}, 044004 (2014)V. Eremenko, N.~J. Upadhyay, I.~J. Thompson,Ch. Elster, F.~M. Nunes, G. Arbanas, J.~E. Escher, L. Hlophe,Coulomb Wave Functions in Momentum Space, Comp. Phys. Comm. {\bf 187}, 195 (2015)
Research Org:
Ohio Univ., Athens, OH (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States