Are all models of the NN interaction independent of each other?

Amghar, A.; Desplanques, B.

doi:10.1016/0375-9474(94)00781-h

Cited by 20 publications

(25 citation statements)

References 37 publications

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“…With this respect, we notice that the Paris model of the NN interaction is the only one where the two pion exchange contribution is correctly accounted for [30]. It however suffers from some drawbacks, such as neglecting terms of the order (p/m) 4 , which now turn out to be relevant in determining a parametrization of the model [23]. The two pion exchange contribution was also considered in the full Bonn model [12], but its energy dependence and the problems this feature are raising have led to its discarding.…”

Section: Residual Contribution For Bosons With Spin or Chargementioning

confidence: 99%

Relationship of Field-Theory Based Single-Boson-Exchange Potentials to Static Ones

Amghar

Desplanques

2000

Few-Body Systems

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It is shown that field-theory based single boson exchange potentials cannot be identified to those of the Yukawa or Coulomb type that are currently inserted in the Schrödinger equation. The potential which is obtained rather corresponds to this current single boson exchange potential corrected for the probability that the system under consideration is in a two-body component, therefore missing contributions due to the interaction of these two bodies while bosons are exchanged. The role of these contributions, which involve at least two boson exchanges, is examined. The conditions that allow one to recover the usual single boson exchange potential are given. It is shown that the present results have some relation: i) to the failure of the Bethe-Salpeter equation in reproducing the Dirac or Klein-Gordon equations in the limit where one of the constituent has a large mass, ii) to the absence of corrections of relative order α log 1 α to a full calculation of the binding energy in the case of neutral massless bosons or iii) to large corrections of wave-functions calculated perturbatively in some light-front approaches.

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Section: Residual Contribution For Bosons With Spin or Chargementioning

confidence: 99%

Relationship of Field-Theory Based Single-Boson-Exchange Potentials to Static Ones

Amghar

Desplanques

2000

Few-Body Systems

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“…As it was shown in Ref. [67] (see also Ref. [68]), these two features are interrelated since this two body off-shell ambiguity is cancelled when a three body observable, like e.g., the triton binding energy, is fixed.…”

Section: Discussionmentioning

confidence: 71%

Low Scale Saturation of Effective NN Interactions and Their Symmetries

Arriola

2016

Symmetry

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Abstract:The Skyrme force parameters can be uniquely determined by coarse graining the Nucleon-Nucleon (NN) interactions at a characteristic momentum scale. We show how exact V lowk potentials to second order in momenta are saturated with physical NN scattering threshold parameters at Center of Mass (CM) cut-off scales of about Λ = 250 MeV for the S-waves and Λ = 100 MeV for the P-waves. The pattern of Wigner and Serber symmetries unveiled previously and suggested by Quantum Chromodynamics (QCD) large N c contracted symmetry emerges at these scales.

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“…The last term in the above equation has been studied at length in refs. [6,7,9]. Though it has a different origin, it has a strong similarity with a term arising from the difference of pseudo-scalar and pseudo-vector πN N couplings, considered in an earlier work by Friar [10].…”

Section: Transforming Away Non-local Termsmentioning

confidence: 99%

Nucleon-Nucleon Interaction Models and Non-Locality

Desplanques

Amghar²

2003

Few-Body Problems in Physics ’02

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Abstract. The effect of non-locality in the NN interaction models is examined. It is shown that this feature can explain differences in predictions made from models evidencing a difference with this respect. This is done for both static and dynamical observables, taking into account that a non-local term can be transformed away by performing a unitary transformation. Some results for the deuteron form factors, the A(Q 2 ) structure function and the T20(Q 2 ) tensor polarization are given as an example. A few cases where discrepancies cannot be explained are also considered. They point to differences in the models as for the deuteron asymptotic normalizations, AS and AD, which are not affected by the present analysis.

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Are all models of the NN interaction independent of each other?

Cited by 20 publications

References 37 publications

Relationship of Field-Theory Based Single-Boson-Exchange Potentials to Static Ones

Relationship of Field-Theory Based Single-Boson-Exchange Potentials to Static Ones

Low Scale Saturation of Effective NN Interactions and Their Symmetries

Nucleon-Nucleon Interaction Models and Non-Locality

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