Precision calculation of the quartet-channel<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>d</mml:mi></mml:math>scattering length

König, S.; Hammer, H.-W.

doi:10.1103/physrevc.90.034005

Cited by 10 publications

(14 citation statements)

References 34 publications

(65 reference statements)

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“…For the quartet channel (total spin 3 /2), exactly this was done in Ref. [23], with the box diagram and the dibaryon-photon range coupling added perturbatively (note that treating Coulomb diagrams differently based on which momentum scale dominates their behavior is generally what has been suggested . Proton-deuteron S-wave phase shifts calculated at N 2 LO for different values of the regulating photon mass λ.…”

Section: Discussionmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

“…In Ref. [23], it was extended to include Coulomb contributions and applied to calculate the quartet-channel pd scattering up to N 2 LO.…”

Section: B Second-order Binding Energy Shiftsmentioning

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 framework recovers Efimov's universal approach to the three-nucleon problem [21][22][23]. With recent progress, pionless EFT also allows for an elegant and efficient fully perturbative treatment of contributions beyond LO [16,[24][25][26].…”

Section: Introductionmentioning

confidence: 90%

“…A calculation of the Coulomb-modified pd scattering length, with the consistent use of a Yukawa-screened Coulomb potential in momentum space, has been presented in Ref. [25].…”

Section: Introductionmentioning

confidence: 99%

Effective theory of³H and³He

König¹,

Grießhammer²,

Hammer³

et al. 2016

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

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106

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We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to next-to-leading order for the Phillips line and the neutron-deuteron doublet-channel phase shift, we find that a perturbative expansion in the inverse 1 S 0 scattering lengths converges rapidly. Using a new systematic treatment of the proton-proton sector that isolates the divergence due to one-photon exchange, we renormalize the corresponding contribution to the 3 H-3 He binding energy splitting and demonstrate that the Coulomb force in pionless EFT is a completely perturbative effect in the trinucleon bound-state regime. In our new expansion, the leading order is exactly isospin-symmetric. At next-to-leading order, we include isospin breaking via the Coulomb force and two-body scattering lengths, and find for the energy splitting (E B ( 3 He) − E B ( 3 H)) NLO = (−0.86 ± 0.17) MeV.

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“…1(b) and (c), respectively, are given in Ref. [12]. The latter two play a role as we go to higher orders in the perturbative expansion, as discussed below.…”

Section: Formalismmentioning

confidence: 99%

The proton–deuteron scattering length in pionless EFT

König

Hammer

2016

EPJ Web of Conferences

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Abstract. We present a fully perturbative calculation of the quartet-channel protondeuteron scattering length ( 4 a p-d ) up to next-to-next-to-leading order (NNLO) in pionless effective field theory. In particular, we use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space. We find a natural convergence pattern as we go to higher orders in the EFT expansion. Our NNLO result of (10.9 ± 0.4) fm agrees with older experimental determinations but deviates from more recent calculations, which find values around 14 fm. To resolve this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

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Precision calculation of the quartet-channelp−dscattering length

Cited by 10 publications

References 34 publications

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

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

Effective theory of³H and³He

The proton–deuteron scattering length in pionless EFT

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Precision calculation of the quartet-channelp−dscattering length

Cited by 10 publications

References 34 publications

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

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

Effective theory of3H and3He

The proton–deuteron scattering length in pionless EFT

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Effective theory of³H and³He