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Deltuva, A.; Fonseca, A. C.

doi:10.1103/physrevc.81.054002

Cited by 35 publications

(28 citation statements)

References 27 publications

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“…Finally, we conclude noticing that it would be interesting to extend the present analysis to p-3 H, n-3 He and d-d scattering observables, which have already been calculated in the framework of the AGS equations for different NN interactions [9,10]. Table I, but for the AV18 potential.…”

Section: Discussionmentioning

confidence: 75%

“…Accurate calculations of four-body scattering observables have been achieved in the framework of the Alt-Grassberger-Sandhas (AGS) equations [7][8][9][10][11], solved in momentum space, where the long-range Coulomb interaction is treated using the screening and renormalization method [12,13]. Also solutions of the FaddeevYakubovsky (FY) equations in configuration space [14][15][16][17][18] and the application of the Hyperspherical Harmonics (HH) expansion method [19] to the solution of this problem have been reported [20,21].…”

Section: Introductionmentioning

confidence: 99%

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Benchmark calculation ofn-3H andp-3He

et al. 2011

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The n-3 H and p-3 He elastic phase-shifts below the trinucleon disintegration thresholds are calculated by solving the 4-nucleon problem with three different realistic nucleon-nucleon interactions (the I-N3LO model by Entem and Machleidt, the Argonne v18 potential model, and a low-k model derived from the CD-Bonn potential). Three different methods -Alt, Grassberger and Sandhas, Hyperspherical Harmonics, and Faddeev-Yakubovsky -have been used and their respective results are compared. For both n-3 H and p-3 He we observe a rather good agreement between the three different theoretical methods. We also compare the theoretical predictions with the available experimental data, confirming the large underprediction of the p-3 He analyzing power.

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Section: Discussionmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Benchmark calculation ofn-3H andp-3He

et al. 2011

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“…This sensitivity to some extent may be caused by the correlation with 3 H binding energy, as found in Ref. [43] for 2 H(d, p) 3 H fusion below three-cluster threshold.…”

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confidence: 63%

Calculation of Multichannel Reactions in the Four-Nucleon System above Breakup Threshold

Deltuva

Fonseca

2014

Phys. Rev. Lett.

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Exact four-body equations of Alt, Grassberger and Sandhas are solved for neutron-3 He and proton-3 H scattering in the energy regime above the four-nucleon breakup threshold. Cross sections and spin observables for elastic, transfer, charge-exchange, and breakup reactions are calculated using realistic nucleon-nucleon interaction models, including the one with effective many-nucleon forces due to explicit ∆-isobar excitation. The experimental data are described reasonably well with only few exceptions such as vector analyzing powers.PACS numbers: 21.45.-v, 25.10.+s, 21.30.-x, 24.70.+s Collisions and reactions are among the most important processes used to study various quantum systems ranging from ultracold atoms to nuclear and particle physics. However, reliable information about their properties can be extracted from experimental data only when an accurate theoretical description of the scattering process is available which is much more complicated to obtain as compared to bound systems. With the three-particle system already well under control the next step is the study of collisions and reactions involving four-particles.Due to its inherent complexity, rich structure of resonances, and multitude of channels the four-nucleon (4N ) system constitutes a highly challenging but also promising theoretical laboratory to test the nucleon-nucleon (N N ) force models. But for that to be possible one needs to be able to solve numerically, over a broad range of energy, the corresponding scattering equations in momentum or coordinate space. Work on this problem evolved slowly over the years but took a fast leap forward in the last ten years.Four-nucleon scattering results with realistic force models emerged first through coordinate space calculations but were limited to single channel n-3 H and p-3 He [1-3] and p-3 H [4] reactions below inelastic threshold. In that region the 4N system exhibits a rich structure of resonances [5] in different partial waves that have been well identified in the literature and whose understanding in terms of the underlying force models constitutes a major yet unresolved challenge for theory. More recent results show that adding a three-nucleon (3N ) force does not necessarily improve the agreement with the experimental data [3,6,7], unless particular 3N force models are used [8]. As in the three-nucleon system, complex scaling methods are now being used to calculate single channel reactions above breakup threshold, however, with semirealistic S-wave interactions so far [9].Given that the treatment of the Coulomb interaction between protons became possible in momentum-space calculations by using the method of screening and renor- and their respective time reversal. In this energy range calculations were done using realaxis integration with subtraction method, spline interpolation, and Padé summation [15] for matrix elements of the transition operators [12]. This approach was extended to allow for an explicit ∆-isobar excitation yielding effective 3N and 4N forces [16]. Unlike coordinate s...

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“…Finally we would like to mention that recently phase shifts of elastic N -3 He scattering were calculated with realistic NN potential models for energies below the 3 He break-up threshold by applying boundstate like methods [253]. Figure 11: The quintet suppression factor (QSF) for d+d → p+ 3 H and d+d → n+ 3 He reactions as function of the deuteron energy in the laboratory system from an AGS calculation with the INOY04 potential [245].…”

Section: Hadronic Reactionsmentioning

confidence: 99%

Modern ab initio approaches and applications in few-nucleon physics with

Leidemann

Orlandini

2013

Progress in Particle and Nuclear Physics

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We present an overview of the evolution of ab initio methods for few-nucleon systems with A ≥ 4, tracing the progress made that today allows precision calculations for these systems. First a succinct description of the diverse approaches is given. In order to identify analogies and differences the methods are grouped according to different formulations of the quantum mechanical many-body problem. Various significant applications from the past and present are described. We discuss the results with emphasis on the developments following the original implementations of the approaches. In particular we highlight benchmark results which represent important milestones towards setting an ever growing standard for theoretical calculations. This is relevant for meaningful comparisons with experimental data. Such comparisons may reveal whether a specific force model is appropriate for the description of nuclear dynamics.

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Polarization observables and spin-aligned fusion rates inH2(d,p)

Cited by 35 publications

References 27 publications

Benchmark calculation ofn-3H andp-3He

Benchmark calculation ofn-3H andp-3He

Calculation of Multichannel Reactions in the Four-Nucleon System above Breakup Threshold

Modern ab initio approaches and applications in few-nucleon physics with

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