Extraction of the Neutron Charge Radius from a Precision Calculation of the Deuteron Structure Radius

Filin, A. A.; Baru, V.; Epelbaum, E.; Krebs, H.; Möller, David R.; Reinert, P.

doi:10.1103/physrevlett.124.082501

Cited by 75 publications

(74 citation statements)

References 50 publications

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“…In the case of the vector current, there are only contributions proportional toβ 8,9 which are to be compensated by the wave functions, see [197] for an explicit verification. The reason is that k 0 -dependent terms in Eq.…”

Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

“…In practical applications one may include higher-order operators to the two-and more-nucleon current by using the whole commutator of Eq. (197), instead of the commutator of Eq. (198).…”

Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

“…Construction of consistent nuclear forces and currents within the higher derivative approach is a work in progress. However, the first results for the deuteron charge in this consistent approach are already available [197] and will be briefly discussed in the next section.…”

Section: Towards a Consistent Regularization Of The Currentsmentioning

confidence: 99%

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Nuclear currents in chiral effective field theory

Krebs

2020

Eur. Phys. J. A

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In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we give all available expressions for vector, axial-vector currents. Vector and axial-vector currents are discussed up to order Q with leading-order contribution starting at order $$Q^{-3}$$ Q - 3 . Pseudoscalar and scalar currents will be discussed up to order $$Q^0$$ Q 0 with leading-order contribution starting at order $$Q^{-4}$$ Q - 4 . This is a complete set of expressions in next-to-next-to-next-to-leading-order (N$$^3$$ 3 LO) analysis for nuclear scalar, pseudoscalar, vector and axial-vector current operators. Differences between vector and axial-vector currents calculated via transfer-matrix inversion and unitary transformation techniques are discussed. The importance of a consistent regularization is an additional point which is emphasized: lack of a consistent regularization of axial-vector current operators is shown to lead to a violation of the chiral symmetry in the chiral limit at order Q. For this reason a hybrid approach at order Q, discussed in various publications, is non-applicable. To respect the chiral symmetry the same regularization procedure needs to be used in the construction of nuclear forces and current operators. Although full expressions of consistently regularized current operators are not yet available, the isoscalar part of the electromagnetic charge operator up to order Q has a very simple form and can be easily regularized in a consistent way. As an application, we review our recent high accuracy calculation of the deuteron charge form factor with a quantified error estimate.

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Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

“…In practical applications one may include higher-order operators to the two-and more-nucleon current by using the whole commutator of Eq. (197), instead of the commutator of Eq. (198).…”

Section: Dependence On the Unitary Phasesβ 8 Andβmentioning

confidence: 99%

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Nuclear currents in chiral effective field theory

Krebs

2020

Eur. Phys. J. A

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“…(See, however, recent predictions for elastic electrondeuteron scattering in Ref. [54].) That is why first of all we plan to apply chiral currents to low-energy photodisintegration processes and muon capture from the lowest atomic orbits, where the energy and momentum transfers are naturally limited.…”

Section: Electroweak Processesmentioning

confidence: 99%

Investigations of the few-nucleon systems within the LENPIC project

Golak

Epelbaum

Grassi

et al. 2020

SciPost Phys. Proc.

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Results presented in this contribution are obtained within the Low Energy Nuclear Physics International Collaboration (LENPIC). LENPIC aims to develop chiral nucleon-nucleon and many-nucleon interactions complete through at least the fourth order in the chiral expansion. These interactions will be used together with consistently derived current operators to solve the structure and reactions of light and medium-mass nuclei including electroweak processes. In this contribution the current status of the chiral nuclear forces and current operators will be briefly discussed. A special role played by the calculations of nucleon-deuteron scattering will be explained.

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“…[74,75] and Ref. [76] for a recent example. Concerning the two-nucleon scalar-isoscalar current, there appear only two additional short-range parameters at order Q 0 , which can be fixed in the studies of chiral extrapolations of the nuclear forces.…”

Section: Introductionmentioning

confidence: 99%

Subleading contributions to the nuclear scalar isoscalar current

2020

Self Cite

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We extend our recent analyses of the nuclear vector, axial-vector and pseudoscalar currents and derive the leading one-loop corrections to the two-nucleon scalar current operator in the framework of chiral effective field theory using the method of unitary transformation. We also show that the scalar current operators at zero momentum transfer are directly related to the quark mass dependence of the nuclear forces.

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Extraction of the Neutron Charge Radius from a Precision Calculation of the Deuteron Structure Radius

Cited by 75 publications

References 50 publications

Nuclear currents in chiral effective field theory

Nuclear currents in chiral effective field theory

Investigations of the few-nucleon systems within the LENPIC project

Subleading contributions to the nuclear scalar isoscalar current

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