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A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2007-05-23 K. Amos , S. Karataglidis , P. Fraser , D. van der Knijff , J. P. Svenne , L. Canton , G. Pisent

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. By tracking the…

Nuclear Theory · Physics 2009-11-10 L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff , K. Amos , S. Karataglidis

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

Cross sections from low-energy neutron-nucleus scattering have been evaluated using a coupled channel theory of scattering. Both a coordinate-space and a momentum-space formalism of that coupled-channel theory are considered.A simple…

Nuclear Theory · Physics 2009-11-11 K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent , J. P. Svenne

A multi-channel algebraic scattering theory has been used to study the properties of nucleon scattering from 12C and of the sub-threshold compound nuclear states, accounting for properties in the compound nuclei to ~10 MeV. All compound and…

Nuclear Theory · Physics 2009-11-11 G. Pisent , J. P. Svenne , L. Canton , K. Amos , S. Karataglidis , D. van der Knijff

A Multi-Channel Algebraic Scattering (MCAS) theory is presented with which the properties of a compound nucleus are found from a coupled-channel problem. The method defines both the bound states and resonances of the compound nucleus, even…

Nuclear Theory · Physics 2007-08-13 K. Amos , P. Fraser , D. van der Knijff , L. Canton , G. Pisent , S. Karataglidis , J. P. Svenne

The effects of components in an assumed model interaction potential, as well as of the order to which its deformation is taken, upon resonances in the low-energy cross sections and upon sub-threshold bound states of the compound nucleus…

Nuclear Theory · Physics 2007-05-23 K Amos , L. Canton , G. Pisent , J. P. Svenne , D van der Knijff

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for $\alpha$+nucleus systems to find spectra of the compound systems. Low energy spectra for ${}^{12}$C, ${}^{16}$O, and…

Nuclear Theory · Physics 2016-05-11 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges…

Quantum Physics · Physics 2016-09-08 Sergey Leble , Sergey Yalunin

The fundamental ingredients of the MCAS (multi-channel algebraic scattering) method are discussed. The main feature, namely the application of the sturmian theory for nucleon-nucleus scattering, allows solution of the scattering problem…

Nuclear Theory · Physics 2007-05-23 L. Canton , K. Amos , S. Karataglidis , G. Pisent , J. P. Svenne

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

The coupled-channel technique augments a non-relativistic distorted wave born approximation scattering calculation to include a coupling to virtual states from the negative energy region. It has been found to be important in low energy…

Nuclear Theory · Physics 2023-11-29 S. P. Weppner , Prakrut Patel , C. Miller , C. Ogg , I. Mazumdar

Low energy theorems are derived for the coefficients of the effective range expansion in s-wave nucleon-nucleon scattering valid to leading order in an expansion in which both $m_\pi$ and $1/a$ (where $a$ is the scattering length) are…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen , James M. Hansen

Role of the Pauli principle in the formation of both the discrete spectrum and multi-channel states of the binary nuclear systems composed of clusters is studied in the Algebraic Version of the resonating-group method. Solutions of the…

Nuclear Theory · Physics 2009-11-10 Gennady Filippov , Yuliya Lashko

How does the scattering cross section change when the colliding bound-state fragments are allowed particle-emitting resonances? This question is explored in the framework of a multi-channel algebraic scattering method of determining…

Nuclear Theory · Physics 2009-01-09 P. Fraser , K. Amos , L. Canton , G. Pisent , S. Karataglidis , J. P. Svenne , D. van der Knijff

The physics of radioactive ion beams implies the description of weakly-bound nuclear systems. One key aspect concerns the coupling to low-lying collective-type excited states, which for these systems might not be stable levels, but particle…

Nuclear Theory · Physics 2011-08-18 P. R. Fraser , K. Amos , L. Canton , S. Karataglidis , J. P. Svenne , D. van der Knijff

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range…

Atomic Physics · Physics 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , Paul S. Julienne

Analyzing powers in low-energy neutron scattering from 12C are calculated in an algebraic momentum-space coupled-channel formalism (MCAS). The results are compared with recently obtained experimental data. The channel-coupling potentials…

Nuclear Theory · Physics 2009-11-11 J. P. Svenne , K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc
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