Resonating group calculations in light nuclear systems

Hofmann, H.M.

doi:10.1007/3-540-17647-0_32

Cited by 25 publications

(22 citation statements)

References 25 publications

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“…(3.1)) on the coordinates for the skin neutrons which were optimized for Λ = 700 MeV. From this analysis we deduce the following roadmap for (5,6) He calculations to solidify our assertions.…”

Section: Pos(cd09)105mentioning

confidence: 62%

“…Specifically, we present leading order (LO) results for the doublet Swave phase shift for 4 He-neutron scattering, in addition to binding energy, charge-and matter radii results for 6 He. Before that, we present the specific form of the next-to-leading order (NLO) EFT / π NN interaction and the few-body technique of the Refined Resonating Group Model (RRGM [5]) used to solve the many-body Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

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Universal correlations in pion-less EFT with the resonating group model: three and four nucleons

Kirscher¹

2010

Proceedings of 6th International Workshop on Chiral Dynamics — PoS(CD09)

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A systematic connection between QCD and nuclear few-and many-body properties in the form of the Effective Field Theory "without pions" is applied to A ≤ 6 nuclei to determine its range of applicability. We present results at next-to-leading order for the Tjon correlation and for a correlation between the singlet S-wave 3 He-neutron scattering length and the triton binding energy. In the A = 6 sector we performed leading order calculations for the binding energy and the charge and matter radii of the halo nucleus 6 He. Also at leading order, the doublet S-wave 4-He-neutron phase shifts are compared with R-matrix data. These analysis provide evidence for a sufficiently fast convergence of the effective field theory, in particular, our results in A ≤ 4 predict an expansion parameter of about 1 3 , and they converge to data within the predicted uncertainty band at this order. A properly adjusted three-body contact force which we include together with the Coulomb interaction in all calculations is found to correctly renormalize the pion-less theory at leading-and next-to-leading order, i.e., the power counting does not require four-body forces at the respective order.

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Section: Pos(cd09)105mentioning

confidence: 62%

Section: Introductionmentioning

confidence: 99%

Universal correlations in pion-less EFT with the resonating group model: three and four nucleons

Kirscher¹

2010

Proceedings of 6th International Workshop on Chiral Dynamics — PoS(CD09)

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“…We exploit the dramatic advances in the development of the so-called ab initio methods that have taken place in nuclear physics over the same period in which π /EFT was formulated. In particular, here we employ the effective-interaction hyperspherical-harmonic (EIHH) method [43][44][45], and the refined resonatinggroup (RGM) method [46]. Although these methods have been developed for traditional nuclear potentials, they can be adapted to pionless EFT, as already done for π EFT in the EIHH [3] and π /EFT in the RGM [32,36].…”

Section: Introductionmentioning

confidence: 99%

Spectra and scattering of light lattice nuclei from effective field theory

et al. 2015

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An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two-and three-body nuclei for two pion masses. At those pion masses we predict the quartet and doublet neutron-deuteron scattering lengths, and the alpha-particle binding energy. For mπ=510 MeV we obtain, respectively, 4 anD = 2.3 ± 1.3 fm, 2 anD = 2.2 ± 2.1 fm, and B α = 35 ± 22 MeV, while for mπ=805 MeV 4 anD = 1.6 ± 1.3 fm, 2 anD = 0.62 ± 1.0 fm, and B α = 94 ± 45 MeV are found. Phillips-and Tjon-like correlations to the triton binding energy are established. We find the theoretical uncertainty in the respective correlation bands to be independent of the pion mass. As a benchmark, we present results for the physical pion mass, using experimental two-body scattering lengths and the triton binding energy as input. Hints of subtle changes in the structure of the triton and alpha particle are discussed.

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“…We use the Resonating Group Model [14,15,16] to compute the scattering in the 4 He system using the Kohn-Hulthén variational principle [17]. The main technical problem is the evaluation of the many-body matrix elements in coordinate space.…”

Section: Rgm and Model Spacementioning

confidence: 99%

“…The main technical problem is the evaluation of the many-body matrix elements in coordinate space. The restriction to a Gaussian basis for the radial dependencies of the wave function allows for a fast and efficient calculation of the individual matrix elements [14,16]. However, to use these techniques the potentials must also be given in terms of Gaussians.…”

Section: Rgm and Model Spacementioning

confidence: 99%

Three-Nucleon Force in the 4He Scattering System

Hofmann

Hale

2003

High Performance Computing in Science and Engineering, Munich 2002

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Summary. We report on a consistent, microscopic calculation of the bound and scattering states in the 4 He system employing modern realistic two-nucleon and three-nucleon potentials in the framework of the resonating group model (RGM). We present for comparison with these microscopic RGM calculations the results from a charge-independent, Coulomb-corrected R-matrix analysis of all types of data for reactions in the A = 4 system. Comparisons are made for selected examples of phase shifts and measurements from reactions sensitive to three-nucleon force effects.

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Resonating group calculations in light nuclear systems

Cited by 25 publications

References 25 publications

Universal correlations in pion-less EFT with the resonating group model: three and four nucleons

Universal correlations in pion-less EFT with the resonating group model: three and four nucleons

Spectra and scattering of light lattice nuclei from effective field theory

Three-Nucleon Force in the 4He Scattering System

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