Optimal polynomial theory applied to 0<i>–</i>350 MeV<i>pp</i>scattering

Bergervoet, J. R.; Campen, P. C. van; Rijken, Th. A.; Swart, J. J. de

doi:10.1103/physrevc.38.770

Cited by 11 publications

(9 citation statements)

References 26 publications

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“…For a comprehensive analysis of systems including at least two charged protons at low energies, the effect of the electromagnetic force cannot be neglected. This is apparent in the measured difference between the pp and np 1 S 0 scattering lengths, a C pp = −7.8063 ± 0.0026 fm [51] compared to a np,s = −23.748 ± 0.009 fm [52], where Eq. ( 1) yields a C pp = a np,s .…”

Section: Input: Eft( π) With Leading-order Coulomb Interactions and I...mentioning

confidence: 99%

Constraining the neutron-neutron scattering length with \eftnopi

Kirscher,

Phillips

2011

Preprint

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We compute a model-independent correlation between the difference of neutron-neutron and proton-proton scattering lengths |a nn − a C pp | and the splitting in binding energies between Helium-3 and tritium nuclei. We use the effective field theory without explicit pions to show that this correlation relies only on the existence of large scattering lengths in the NN system. Our leadingorder calculation, taken together with experimental values for binding energies and a C pp , yields a nn = −22.9 ± 4.1 fm.

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Section: Input: Eft( π) With Leading-order Coulomb Interactions and I...mentioning

confidence: 99%

Constraining the neutron-neutron scattering length with \eftnopi

Kirscher,

Phillips

2011

Preprint

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“…Strictly speaking, the a C pp listed there is extracted from data using an effective-range expansion that considers a refined version of the Coulomb potential and vacuum-polarization effects [51]. However, here we have a long-range part of the pp potential consisting only of the Coulomb interaction.…”

Section: Input: Eft( π) With Leading-order Coulomb Interactions Amentioning

confidence: 99%

Constraining the neutron-neutron scattering length using the effective field theory without explicit pions

Kirscher

Phillips

2011

Phys. Rev. C

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“…For the 3 He channel, we need to the pp Coulomb scattering length as a two-body input parameter, a C = −7.8063 ± 0.0026 fm [29].…”

Section: B 3 He Channelmentioning

confidence: 99%

Effective Field Theory of 3He

Ando

Birse

2012

Few-Body Syst

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He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3 He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb interaction between the protons. To leading order, the theory contains: two-body contact interactions whose renormalized strengths are set by the NN scattering lengths, the Coulomb potential, and a three-body contact interaction. We solve the three coupled integral equations with a sharp momentum cutoff, Λ, and find that a three-body interaction is required in 3 He at leading order, as in the triton. It also exhibits the same limit-cycle behavior as a function of Λ, showing that the Efimov effect remains in the presence of the Coulomb interaction. We also obtain the difference between the strengths of the three-body forces in 3 He and the triton. I. INTRODUCTION Since Weinberg first proposed applying the ideas of effective field theory (EFT) to nuclear forces [1], much effort has gone into this approach. (For reviews, see Refs. [2-4].) Although there is still some debate about how best to implement it at energies where pion-exchange forces are resolved, the picture is clearer at lower energies. Here few-nucleon systems can be described by a "pionless" EFT based on two-and three-body contact interactions [5-8]. The resulting expansion of the two-body force is just that of the effective-range expansion [9], but the EFT framework makes it possible to extend this consistently to other effective operators and three-body forces. This theory has been applied extensively to two-body systems, where it has been extended to include the effects of the Coulomb interaction on proton-proton scattering [10-14]. In that system, it corresponds to a distorted-wave or "modified" version of the effective-range expansion [9].

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Optimal polynomial theory applied to 0–350 MeVppscattering

Cited by 11 publications

References 26 publications

Constraining the neutron-neutron scattering length with \eftnopi

Constraining the neutron-neutron scattering length with \eftnopi

Constraining the neutron-neutron scattering length using the effective field theory without explicit pions

Effective Field Theory of 3He

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