Extracting the neutron–neutron scattering length—recent developments

Gårdestig, Anders

doi:10.1088/0954-3899/36/5/053001

Cited by 55 publications

(50 citation statements)

References 98 publications

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“…For a recent, thorough review of the status of experiments see Ref. [7]. Direct measurements are on the horizon [8], but until now constraints on a nn come from final-state interactions.…”

Section: Introductionmentioning

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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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. * Electronic address: kirscher@ohio.edu

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“…For a recent, thorough review of the status of experiments see Ref. [7]. Direct measurements are on the horizon [8], but until now constraints on a nn come from final-state interactions.…”

Section: Introductionmentioning

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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“…Both the 1 S 0 and 3 S 1 -3 D 1 np forces have been well determined by np scattering data and the properties of the deuteron [1,27]. Up to this point, the 1 S 0 nn force has been determined only indirectly because of the lack of free nn data [28,29]. Therefore, one might expect that the 1 S 0 nn force is the most likely culprit for the disagreement between data and theory in the star configurations.…”

Section: Discussionmentioning

confidence: 99%

Cross-section measurements of2H(n,np)nin symmetric star configurations

et al. 2012

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Cross-section measurements have been made at 16 and 19 MeV in two exit-channel configurations of neutron-deuteron breakup: the space-star and coplanar star. In this kinematically-complete measurement, the outgoing proton and one of the neutrons were detected in coincidence and their energies were determined via time-of-flight techniques. Monte-Carlo simulations based on rigorous three-nucleon Faddeev calculations using the CD-Bonn nucleon-nucleon potential were used to compare the experimental results with theory. Large discrepancies between data and theory were found in both breakup configurations measured at both energies, suggesting deficiencies in current theoretical treatment of three-nucleon forces or in present knowledge of the neutron-neutron 1 S0 force.

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“…The dineutron subsystem: For the neutron-neutron interaction we restrict ourselves to the S-wave interaction at LO. This interaction has an unnaturally large scattering length, a 0 = −18.9 fm [26], which means that we must resum the interaction to infinite order. The resulting full LO dineutron propagator is therefore given by a geometric series, which we write in closed form as…”

Section: Two-body Physicsmentioning

confidence: 99%

Three-Body Halo States in Effective Field Theory: Renormalization and Three-Body Interactions in the Helium-6 System

2017

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In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an α-neutron-neutron three-body state. We include the 0 + dineutron channel together with both the 3/2 − and 1/2 − neutron-α channels into the field theory and study all of the six lowest-order three-body interactions that are present. Furthermore, we discuss three different prescriptions to handle the unphysical poles in the P-wave two-body sector. In the simpler field theory without the 1/2 − channel present we find that the bound-state spectrum of the field theory is renormalized by the inclusion of a single threebody interaction. However, in the field theory with both the 3/2 − and 1/2 − included, the system can not be renormalized by only one three-body operator.

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Extracting the neutron–neutron scattering length—recent developments

Abstract: The experimental and theoretical issues and challenges for extracting the neutron-neutron scattering length are discussed. Particular emphasis is placed on recent results and their impact on the field. Comments are made regarding current experimental and theoretical possibilities.

Cited by 55 publications

References 98 publications

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

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

Cross-section measurements of2H(n,np)nin symmetric star configurations

Three-Body Halo States in Effective Field Theory: Renormalization and Three-Body Interactions in the Helium-6 System

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