Nucleon-deuteron zero-energy scattering

Friar, J. L.; Gibson, B. F.; Payne, G. L.; Chen, C.R.

doi:10.1016/0370-2693(90)90880-f

Cited by 14 publications

(3 citation statements)

References 40 publications

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“…The problem implies, we believe, a qualitative jump with respect to the A=3 case. Indeed the failure of the usual NN interactions in describing the 3N system and the 4N bound state can be to a large extent overcome by the inclusion of three nucleon interactions (TNI) [1][2][3][4][5]. The success of this approach is mainly due to the strong correlation existing between the low energy scattering observables and the three nucleon binding energy [1,2,6], which in its turn is strongly correlated to the four nucleon one [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Indeed the failure of the usual NN interactions in describing the 3N system and the 4N bound state can be to a large extent overcome by the inclusion of three nucleon interactions (TNI) [1][2][3][4][5]. The success of this approach is mainly due to the strong correlation existing between the low energy scattering observables and the three nucleon binding energy [1,2,6], which in its turn is strongly correlated to the four nucleon one [7][8][9]. This means that the zero and low energy three and four nucleon problem depend on a few number of parameters which can be found in any existing TNI.…”

Section: Introductionmentioning

confidence: 99%

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Low energy n+t scattering and the NN forces

Ciesielski¹,

Carbonell²,

Gignoux³

1999

Physics Letters B

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The Faddeev-Yakubovsky equations have been solved in configuration space for the four nucleon system. The n+t elastic cross section has been calculated using several realistic interactions and a phenomenological three-nucleon force. Special attention is devoted to the description of the observed resonant structure at T lab ≈ 4 MeV. In the present state of the calculations, the realistic NN interactions are unable to describe the energy region considered, i.e. n+t S-and P-waves. Whereas the inclusion of a three-nucleon force improves the zero energy region, the disagreement in the resonant peak remains. This failure contrasts with the results of a pure phenomenological model. The origin of this disagreement as well as the possible issues are discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Low energy n+t scattering and the NN forces

Ciesielski¹,

Carbonell²,

Gignoux³

1999

Physics Letters B

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“…To shed light on that question we solved the 3N scattering equations including a 3NF. 3N scattering including realistic XN forces and 3NF has been solved before at the Nd threshold [13] and in the context of pd capture [14]. As 0.07 0 far as we know 3N scattering observables other than scattering lengths based on realistic NN forces and 3NF…”

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confidence: 99%

Analyzing power puzzle in low energy elasticNdscattering

Witała

Hüber²,

Glöckle³

1994

Phys. Rev. C

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First results of rigorous 3N Faddeev calculations including realistic NN and 3N forces (3NF) are presented. We compare the theoretical analyzing power A" in elastic Nd scattering at E&,b = 3.0 MeV to recently measured nd data. As 3NF we take the Tucson-Melbourne 2m-exchange model. We study its dependence on the~N form-factor cutoff parameter and also the interplay of three realistic NN forces with that 3NF. The discrepancy between theory and experiment, present for NN forces only, turns out to be aggravated when including that 3NF. Further efforts to be taken are indicated.PACS number(s): 25.10.+s, 21.30.+ y, 24.70.+s, 25.40.Dn A great amount of proton-proton (pp) and neutronproton (np) data has been measured over the years and there exist several so-called realistic nucleon-nucleon (NN) potentials, among thetn meson-theoretical ones, which describe that data set very well. Are those forces also relevant for systems of three and more nucleons? The advent of supercomputers in recent years allowed to solve the 3N scattering problem rigorously for any type of NN forces. Our extensive analysis of available threenucleon (3N), proton-deuteron (pd) and neutron-deuteron (nd) elastic scattering data in fact revealed, that the simple dynamical mechanism of three nucleons interacting pairwise with realistic NN interactions clearly dominates this process. The predictions of these modern NN potentials give a very good description of the total cross section for nd scattering, of angular distributions and nearly all polarization data [1] in elastic Nd scattering. Also quite a few Nd breakup data are equally well described by that simple dynamical picture, leaving very little room for additional dynamics. There is, however, an interesting exception in the analyzing power in elastic Nd scattering. While for incident nucleon lab energies of 30 MeV and higher good agreement is found between the theoretical predictions and the A data [1], a sizeable discrepancy of about 30% exists in the low energy region, below E&,b =30 MeV, between the theoretical predictions based on modern NN potentials and both pd and nd A" data. That discrepancy lies in and around the A"maximum at 6, =125' [1]. It exists for energies below as well as above the deuteron breakup threshold. In Fig. 1 we exemplify that discrepancy at a neutron lab energy E&", b=3.0 MeV. The predictions of the currently most prominent four diS'erent potentials, AV14 [2], Bonn B [3], Nijmegen [4], and Paris [5], clearly underestimate the recently measured A data [6] in the region of its maximum. The deviation of the AV14 prediction from the other ones is due to slight on-shell differences between the AV14 Po & 2 NN phase-shift parameters and those phases of the other three potentials. This points to a pos-0.070 0.035 0.000 Bc.m. (deg) 180 FIG. 1. The neutron-deuteron analyzing power data at El", b =3.0 MeV [6] (full dots) compared to different potential predictions: Bonn Bsolid line, AV14short-dashed line, Nijmegendotted line, and Parislong-dashed line. sible reason for that size...

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