Coupled Channels Marchenko Inversion for Nucleon—Nucleon Potentials

Kohlhoff, H.; Geramb, H. V. von

doi:10.1007/978-3-662-13969-1_19

Cited by 13 publications

(41 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Contrary to the direct path to obtain a potential for NN scattering from some microscopic model, the algorithm of quantum inversion can be applied using experimental phase shifts as input [5]. Nowadays, the inversion techniques for nucleon-nucleon quantum scattering have evolved up to almost perfection for scattering data below pion production threshold.…”

Section: Nucleon-nucleon Potentials From Inversionmentioning

confidence: 99%

“…Inserting a rational representation of the S-matrix [5] into the integral equation for the input kernel 6) where h + ℓ (x) are the Riccati-Hankel functions, the Marchenko equation…”

Section: A Marchenko Inversionmentioning

confidence: 99%

“…A rational representation of the spectral density [5] again yields an algebraic form for the Gel'fand-Levitan equation 11) and the desired potential is obtained from…”

Section: A Marchenko Inversionmentioning

confidence: 99%

“…A straight forward calculation yields the desired amplitude in momentum space 5) with the Feynman propagator…”

Section: A Solitary Mesonsmentioning

confidence: 99%

“…Contrary to the microscopic models, potentials obtained from quantum inversion were developed for various hadron-hadron interactions [5]. Using experimental phase shifts as input in the Gel'fand-Levitan and Marchenko inversion algorithm for the Sturm-Liouville equation yields local potential operators in coordinate space which are model-independent and reproduce the experimental data by construction.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Modeling of nucleon-nucleon potentials, quantum inversion versus meson exchange pictures

Jaede¹,

Sander²,

Geramb

1997

Inverse and Algebraic Quantum Scattering Theory

View full text Add to dashboard Cite

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators which, inserted into a Lippmann-Schwinger equation, yield the scattering phase shifts and observables. In principle, this potential carries the rich substructure consisting of quarks and gluons and thus may be deduced from some microscopic model. In this spirit we propose a boson exchange potential from a nonlinear quantum field theory. Essentially, the meson propagators and form factors of conventional models are replaced by amplitudes derived from the dynamics of self-interacting mesons in terms of solitary fields. Contrary to deduction, we position the inversion approach. Using Gel'fand-Levitan and Marchenko inversion we compute local, energy-independent potentials from experimental phase shifts for various partial waves. Both potential models give excellent results for on-shell NN scattering data. In the off-shell domain we study both potential models in (p, pγ) Bremsstrahlung, elastic nucleon-nucleus scattering and triton binding energy calculations. It remains surprising that for * Contribution to the International Conference on Inverse and Algebraic Quantum Scattering Theory, Lake Balaton '96.

show abstract

Section: Nucleon-nucleon Potentials From Inversionmentioning

confidence: 99%

“…Inserting a rational representation of the S-matrix [5] into the integral equation for the input kernel 6) where h + ℓ (x) are the Riccati-Hankel functions, the Marchenko equation…”

Section: A Marchenko Inversionmentioning

confidence: 99%

“…A rational representation of the spectral density [5] again yields an algebraic form for the Gel'fand-Levitan equation 11) and the desired potential is obtained from…”

Section: A Marchenko Inversionmentioning

confidence: 99%

“…A straight forward calculation yields the desired amplitude in momentum space 5) with the Feynman propagator…”

Section: A Solitary Mesonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling of nucleon-nucleon potentials, quantum inversion versus meson exchange pictures

Jaede¹,

Sander²,

Geramb

1997

Inverse and Algebraic Quantum Scattering Theory

View full text Add to dashboard Cite

show abstract

NN Potentials with Explicit Momentum Dependence Obtained from Generalized Darboux Transformations

Korinek

Leeb

Braun

et al. 1997

Inverse and Algebraic Quantum Scattering Theory

View full text Add to dashboard Cite

The application of inversion to nuclear scattering

Kukulin

Mackintosh

2004

J. Phys. G: Nucl. Part. Phys.

141

View full text Add to dashboard Cite

We review the application of inverse scattering in nuclear physics. We emphasize the various ways in which inversion can be used to understand nuclear interactions, and survey the results that have been obtained. We discuss S → V inversion from both theoretical and experimentally fitted S-matrices as well as a new method for direct observable →V inversion. The various alternative approaches to inverse scattering are briefly reviewed, and their range of applicability is discussed. This is not a review of formal inversion methods, but the iterative perturbative (IP) approach is described in some detail together with a discussion of the physics results which have been obtained using it and other inversion methods. The case of p+4He scattering is presented in some detail as a case study exemplifying the kind of information which can now be obtained by the application of inverse scattering techniques. It also brings out the comparative properties of different inversion methods.

show abstract

Coupled Channels Marchenko Inversion for Nucleon—Nucleon Potentials

Cited by 13 publications

References 18 publications

Modeling of nucleon-nucleon potentials, quantum inversion versus meson exchange pictures

Modeling of nucleon-nucleon potentials, quantum inversion versus meson exchange pictures

NN Potentials with Explicit Momentum Dependence Obtained from Generalized Darboux Transformations

The application of inversion to nuclear scattering

Contact Info

Product

Resources

About