Nucleon-Nucleon Scattering from One-Boson-Exchange Potentials. III.<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Waves Included

Bryan, Ronald; Scott, B. A.

doi:10.1103/physrev.177.1435

Cited by 208 publications

(41 citation statements)

References 21 publications

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“…This point was explicitly illustrated by using the Skyrme soliton model form factors [30]. In fact, this conclusion is coherent with the early hard core regularizations [3,4,5], recent lattice calculations [36] (where an extremely hard Λ πN N ∼ 1.7GeV and a rather flat behaviour are found) and, as we will show, with the renormalization approach we advocate.…”

Section: Introductionsupporting

confidence: 60%

“…It represents the natural generalization of the One Pion Exchange (OPE) potential proposed by Yukawa [1], and also the scalar meson potential introduced by Johnson and Teller [2]. With the advent of vector mesons these degrees of freedom were included as well [3,4,5,6]. Actually, Regge theory yields such a potential within a suitable approximation [7].…”

Section: Introductionmentioning

confidence: 99%

“…Actually, Regge theory yields such a potential within a suitable approximation [7]. The disturbing short distance divergences were first treated by using a hard core boundary condition [3,4,5] and it was soon realized that divergences in the potential could be treated by introducing phenomenological form factors mimicking the finite nucleon size [8]. The field theoretical OBE model of the NN interaction [9,10] includes all mesons with masses below the nucleon mass, i.e., π, η, ρ(770) and ω(782).…”

Section: Introductionmentioning

confidence: 99%

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Renormalization versus strong form factors for one-boson-exchange potentials

Cordón

Arriola

2010

Phys. Rev. C

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We analyze the One Boson Exchange Potential from the point of view of Renormalization theory. We show that the nucleon-meson Lagrangean while predicting the NN force does not predict the NN scattering matrix nor the deuteron properties unambiguously due to the appearance of short distance singularities. While the problem has traditionally been circumvented by introducing vertex functions via phenomenological strong form factors, we propose to impose physical renormalization conditions on the scattering amplitude at low energies. Working in the large Nc approximation with π,σ,ρ and ω mesons we show that, once these conditions are applied, results for low energy phases of proton-neutron scattering as well as deuteron properties become largely insensitive to the form factors and to the vector mesons yielding reasonable agreement with the data and for realistic values of the coupling constants.

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Section: Introductionsupporting

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Renormalization versus strong form factors for one-boson-exchange potentials

Cordón

Arriola

2010

Phys. Rev. C

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“…The inclusion of the Q 12 operator was found to be necessary, because otherwise it was impossible to describe simultaneously the 1 S 0 and 1 D 2 phase shifts using the same static potential. The presence of the operator Q 12 in the potential can to a certain extent be simulated by introducing non-local potentials [14]. In the expansion 6 i=1 V i P i , the potential forms V i are generally assumed to be the same in all partial waves.…”

Section: General Outlinementioning

confidence: 99%

Construction of high-qualityNNpotential models

et al. 1994

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We present an updated version (Nijm93) of the Nijmegen soft-core potential, which gives a much better description of the np data than the older version (Nijm78). The χ 2 per datum is 1.87. The configuration-space and momentum-space versions of this potential are exactly equivalent; a unique feature among meson-theoretical potentials. We also present three new NN potential models: a non-local Reid-like Nijmegen potential (Nijm I), a local version (Nijm II), and an updated regularized version (Reid93) of the Reid soft-core potential. These three potentials all have a nearly optimal χ 2 per datum and can therefore be considered as alternative partial-wave analyses. All potentials contain the proper charge-dependent one-pion-exchange tail.

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“…Prior to the introduction of QCD, theories centered around Yukawa's 1935 meson theory [5] and pion exchange, then in the 1960s, the discovery of heavy mesons [6][7] led to the one-boson exchange models. [8][9] Both are still employed to supplement QCD in models of the nuclear force, but it remains a challenge after 75 years. Progress towards its resolution has been uneven and recent theoretical achievements remain deficient.…”

mentioning

confidence: 99%

On the W-boson NN interaction and the extended cluster model of the nucleus.

Fimmel¹

2009

phys essays

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The problem of the nuclear interaction is analyzed ab initio, using a physical model of low-energy nuclear phenomena rather than the usual approach of mathematical theory and nuclear parameters. The interaction model is an extension of the fully discrete model of the electron, derived from the Dirac equation. Here we show that a nuclear bond, mediated by the W -boson, evolves naturally in a discrete physical model of the nucleon, in a framework of direct interparticle action. The new model naturally accounts for the uniquely stable two-, three-and four-body bound states, the abolition of free neutron ß-decay by the deuteron bond, 3 H and 3 He particle-stability and 3 H ß-instability.The model is qualitative and radical, and is supported by its congruence with light nuclear phenomena in the low-energy regime.

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Nucleon-Nucleon Scattering from One-Boson-Exchange Potentials. III.SWaves Included

Cited by 208 publications

References 21 publications

Renormalization versus strong form factors for one-boson-exchange potentials

Renormalization versus strong form factors for one-boson-exchange potentials

Construction of high-qualityNNpotential models

On the W-boson NN interaction and the extended cluster model of the nucleus.

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