Chiral electroweak currents in nuclei

Riska, D.O.; Schiavilla, R.

doi:10.1142/s0218301317400225

Cited by 9 publications

(21 citation statements)

References 120 publications

(112 reference statements)

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“…where the indices n of T (n) -matrix operator denote their chiral order Q n and dots denote higher than Q 2 order operators. The same NDA can be used for nuclear force operators (1)…”

Section: Inversion Of the Transfer Matrix Methodsmentioning

confidence: 99%

“…where D denote the LEC from L (1) π N N . At the order Q we decompose the short-range current in three different components…”

Section: Two-nucleon Axial Vector Currentmentioning

confidence: 99%

“…As already mentioned previously, in our developments of chiral nuclear currents we used the technique of unitary transformation. In parallel to our activities there is a different derivation of nuclear currents where time-ordered perturbation theory combined with the transfer-matrix inversion technique has been used (see [1,117] and references therein). In this chapter we would like to briefly discuss their method and compare vector and axial-vector currents from two different derivation methods.…”

Section: Comparison With the Jlab-pisa Currentsmentioning

confidence: 99%

“…Hadronic four-current is less known. Electroweak nuclear currents have been extensively studied in the last century within bosonexchange (pions and heavier mesons) and soliton models, see [1,2] for recent and [3,4] for earlier reviews on this topic. Electromagnetic nuclear currents have been reviewed in [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…One can even block-diagonalize the full Poincare algebra simultaneously reducing in this way, quantum field theoretical problem to quantum mechanical one [22,23]. 1 In this way one can either keep everything relativistic or perform a large nucleon mass expansion of block-diagonalized operators. Through the phenomenological studies of the nuclear currents of the last century, one could gain very important insights into a general construction of nuclear currents.…”

Section: Introductionmentioning

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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“…where the indices n of T (n) -matrix operator denote their chiral order Q n and dots denote higher than Q 2 order operators. The same NDA can be used for nuclear force operators (1)…”

Section: Inversion Of the Transfer Matrix Methodsmentioning

confidence: 99%

“…where D denote the LEC from L (1) π N N . At the order Q we decompose the short-range current in three different components…”

Section: Two-nucleon Axial Vector Currentmentioning

confidence: 99%

Section: Comparison With the Jlab-pisa Currentsmentioning

confidence: 99%