The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials

Kirscher, Johannes; Gazit, Doron

doi:10.1016/j.physletb.2016.02.011

Cited by 13 publications

(14 citation statements)

References 51 publications

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“…We examine how the fitted values of the coefficients vary with the width of the Gaussian regulator, σ, and exclude the region where these coefficients start to become "unnaturally" large. This is contrast to the recent work by Kirscher and Gazit [31] who use a similar potential to ours but with cut-offs corresponding to σ in the range 0.08 to 0.25 fm.…”

Section: Pionless Eftcontrasting

confidence: 97%

Description of light nuclei in pionless effective field theory using the stochastic variational method

2016

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We construct a coordinate-space potential based on pionless effective field theory (EFT) with a Gaussian regulator. Charge-symmetry breaking is included through the Coulomb potential and through two-and three-body contact interactions. Starting with the effective field theory potential, we apply the stochastic variational method to determine the ground states of nuclei with mass number A ≤ 4. At next-to-next-to-leading order, two out of three independent three-body parameters can be fitted to the three-body binding energies.To fix the remaining one, we look for a simultaneous description of the binding energy of 4 He and the charge radii of 3 He and 4 He. We show that at the order considered we can find an acceptable solution, within the uncertainty of the expansion. We find that the EFT expansion shows good agreement with empirical data within the estimated uncertainty, even for a system as dense as 4 He.

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Section: Pionless Eftcontrasting

confidence: 97%

Description of light nuclei in pionless effective field theory using the stochastic variational method

2016

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“…Based on studying the regulator (cutoff) dependence of the amplitude, it was realized that in the presence of nonperturbative Coulomb effects an isospin breaking three-nucleon force is required to ensure renormalization at next-to-leading order (NLO) [24,45]. While another calculation [46] does not see the need to include such a term, Ref. [25] showed that in part this three-body force is related to a two-body divergence in the pp sector, and that the theory can be rearranged in such a way that all Coulomb effects in the 3 He bound state are included in perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

Second-order perturbation theory for ${}^{3}\mathrm{He}$ andpdscattering in pionless EFT

König¹

2017

J. Phys. G: Nucl. Part. Phys.

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This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second-order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in perturbation theory, including two-photon contributions at next-to-next-to-leading order. After fixing a three-nucleon force to the 3 He binding energy at this order, proton-deuteron scattering in the doublet S-wave channel is calculated for moderate center-of-mass momenta. * koenig.389@osu.edu 1 arXiv:1609.03163v2 [nucl-th]

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“…[30] with a different scheme, and in Ref. [12] with the same formalism as employed in this work. Within our scheme, we find the divergence only by splitting the LEC in the pp channel as shown.…”

Section: Resultsmentioning

confidence: 99%

“…In conclusion of this section, we note that the orderings are unaffected by the regularized Coulomb interaction and consequently should be characteristics of the strong interaction. (12) In Table III we present the evolution of the nuclear magnetic moments in EFT(π ). The values of shell-model approximation yield the magnetic moment as the sum of the single particle contributions with appropriate spin orientations.…”

Section: Charge Radiimentioning

confidence: 99%

Electromagnetic characteristics of A≤3 physical and lattice nuclei

Kirscher

Pazy²,

Drachman

et al. 2017

Phys. Rev. C

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We analyze the quark-mass dependence of electromagnetic properties of two and three-nucleon states. To that end, we apply the pionless effective field theory to experimental data and numerical lattice calculations which simulate QCD at pion masses of 450 MeV and 806 MeV.At the physical pion mass, we postdict the magnetic moment of helium-3, µ3 He = −2.13 nNM, and the magnetic polarizability of deuterium, β D = 7.33 10 −2 fm 3 . Magnetic polarizabilities of helium-3, β3 He = 9.7 10 −4 fm 3 , and the triton, β3 H = 8.2 10 −4 fm 3 , are predictions.Postdictions of the effective theory for the magnetic moments are found consistent with QCD simulations at 806 MeV pion mass while our EFT result β D = 2.92 10 −2 fm 3 was not extracted from the lattice. The deuteron would thus be relatively pliable compared to a three-nucleon state for which we postdict β3 H = 3.9 10 −5 fm 3 . At m π = 450 MeV, the magnetic moment of the triton is predicted, µ3 He = −2.15(5) nNM, based on a conjecture of its binding energy, B3 H ≅ 30 MeV.For all three pion masses, we compare the point-charge radii of the two and three-nucleon bound states.The sensitivity of the electromagnetic properties to the Coulomb interaction between protons is studied in anticipation of lattice calculations with dynamical QED.

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The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials

Cited by 13 publications

References 51 publications

Description of light nuclei in pionless effective field theory using the stochastic variational method

Description of light nuclei in pionless effective field theory using the stochastic variational method

Second-order perturbation theory for ${}^{3}\mathrm{He}$ andpdscattering in pionless EFT

Electromagnetic characteristics of A≤3 physical and lattice nuclei

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