Benchmark calculation for proton-deuteron elastic scattering observables including the Coulomb interaction

Deltuva, A.; Fonseca, A. C.; Kievsky, A.; Rosati, S.; Sauer, P.U.; Viviani, M.

doi:10.1103/physrevc.71.064003

Cited by 74 publications

(63 citation statements)

References 30 publications

(57 reference statements)

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“…Compared to the configuration-space treatment [7], the results for the elastic pd scattering agree very well over a wide energy range [21]. Although at very low energies the coordinate-space methods remain favored, at higher energies and especially for three-body breakup reactions our momentum-space treatment is more efficient, and so far the only one to show first results for realistic interactions [22].…”

Section: Discussionmentioning

confidence: 83%

“…Furthermore, Ref. [21] makes a detailed comparison between the results for pd elastic scattering obtained by the present technique and those of Ref. [7] obtained from the variational solution of the three-nucleon Schrödinger equation in configuration space with the inclusion of an unscreened Coulomb potential between the protons and imposing the proper Coulomb boundary conditions explicitly.…”

Section: Screening and Renormalization Approachmentioning

confidence: 94%

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Treatment of the Coulomb interaction in three-nucleon reactions

2007

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Section: Discussionmentioning

confidence: 83%

Section: Screening and Renormalization Approachmentioning

confidence: 94%

Treatment of the Coulomb interaction in three-nucleon reactions

2007

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“…So do higher order EFT calculations and potential model calculations that describe the experimental data well, for example Refs. [25,27,28,32,33] and references there in. However, it is more meaningful to compare the same LO EFT lattice and continuum calculation for benchmarking the accuracy of the numerical methods.…”

Section: Neutron-deuteron and Proton-deuteron Scatteringmentioning

confidence: 99%

Nucleon-deuteron scattering using the adiabatic projection method

et al. 2016

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In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to study nucleus-nucleus scattering and reactions on the lattice. We present technical details of the method for large-scale problems. To estimate the systematic errors of the calculations we consider simple two-particle scattering on the lattice. Then we benchmark the accuracy and efficiency of the numerical methods by applying these to calculate fermion-dimer scattering in lattice effective field theory with and without a long-range Coulomb potential. The fermion-dimer calculations correspond to neutron-deuteron and proton-deuteron scattering in the spin-quartet channel at leading order in the pionless effective field theory.

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“…In recent years many exact theoretical formalisms have been developed to describe this process at low and intermediate energies [1][2][3][4]. In combination with continuous progress in numerical methods and computational resources this allows one to make exact predictions based both on (semi) phenomenological [5][6][7][8] forces as well as on potentials derived within the framework of chiral effective field theory [9,10].…”

Section: Introductionmentioning

confidence: 99%

First-order neutron-deuteron scattering in a three-dimensional approach

et al. 2015

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Abstract. The description of the neutron-deuteron scattering process has been possible using the partial wave approach since the 1980s (Few-Body Syst. 3, 123 (1988); Phys. Rep. 274, 107 (1996); Acta Phys. Pol. B 28, 1677 (1997)). In recent years the so-called "three-dimensional" formalism was developed, where the calculations are performed with operators acting directly on the three-dimensional degrees of freedom of the nucleons. This approach avoids a tedious step of the classical calculations, the partial wave decomposition of operators, and in this paper is applied to the neutron-deuteron scattering process. The calculations presented here are a first step toward a new calculation scheme that would make it possible to easily produce precise predictions for a wide range of nuclear force models. This paper is a continuation of the work presented in Eur. Phys. J. A 43, 339 (2010) where the breakup channel was considered in detail. The theoretical formulation used in this paper is very closely related to the formalism introduced in Eur. Phys. J. A 43, 339 (2010) and Phys. Rev. C 68, 054003 (2003), however, we work directly with the matrix representation of operators in the joined isospin-spin space of the three-nucleon system and use only the driving term of the three-nucleon Faddeev equations. This greatly simplifies the numerical realization of the calculation and allows us to consider also the elastic channel of the reaction.

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Benchmark calculation for proton-deuteron elastic scattering observables including the Coulomb interaction

Cited by 74 publications

References 30 publications

Treatment of the Coulomb interaction in three-nucleon reactions

Treatment of the Coulomb interaction in three-nucleon reactions

Nucleon-deuteron scattering using the adiabatic projection method

First-order neutron-deuteron scattering in a three-dimensional approach

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