A study of the parity-odd nucleon-nucleon potential

Vries, Jordy de; Li, N.; Meißner, Ulf‐G.; Kaiser, Norbert; Liu, X. H.; Zhu, Shi-Lin

doi:10.1140/epja/i2014-14108-8

Cited by 20 publications

(51 citation statements)

References 47 publications

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“…The extension of chiral perturbation theory to few-nucleon systems, χEFT [16] has also been invoked [17][18][19][20][21]. In χEFT the one-pion-exchange piece of the PV NN force dominates, with all other effects suppressed by two orders in the chiral expansion.…”

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confidence: 99%

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Parity-Violating Nucleon-Nucleon Force in the1/NcExpansion

2015

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Several experimental investigations have observed parity violation in nuclear systems-a consequence of the weak force between quarks. We apply the 1/Nc expansion of QCD to the P-violating T-conserving component of the nucleon-nucleon (NN) potential. We show there are two leadingorder operators, both of which affect pp scattering at order Nc. We find an additional four operators at order N 0 c sin 2 θW and six at O(1/Nc). Pion exchange in the PV NN force is suppressed by 1/Nc and sin 2 θW , providing a quantitative explanation for its non-observation up to this time. The large-Nc hierarchy of other PV NN force mechanisms is consistent with estimates of the couplings in phenomenological models. The PV observed in pp scattering data is compatible with natural values for the strong and weak coupling constants: there is no evidence of fine tuning. The strong-nuclear and electromagnetic forces play the most prominent role in proton-proton (pp) scattering. There are also parity-violating (PV) pp interactions, which manifest the presence of weak interactions between the quarks inside each proton. Measurements of longitudinal beam asymmetries ∼ 10 and TRIUMF [3] demonstrate that PV nucleon-nucleon (NN) forces exist. PV in NN systems is also probed via an asymmetry in the reaction np → dγ [4,5]. And ab initio calculations of few-nucleon systems allow us to take models of the PV NN force and predict, e.g., the longitudinal asymmetry in 3 He( n, p) 3 H [6], which is soon to be measured [7]. Nuclear parity violation is also observed in, e.g., the radiative decay of the first excited state of 19 F, but there theoretical uncertainties in the relationship between the observable and the model of the PV NN force are harder to quantify. Much work has gone into constraining the PV NN force from a variety of nuclear experiments, see Refs. [8,9] for recent reviews.The prevailing paradigm in such analyses is based on single-meson exchange between nucleons, most commonly in the framework developed by Desplanques, Donoghue, and Holstein (DDH) [10]. The quantum numbers of the exchanged mesons determine the operator structures that contribute, while operator coefficients involve products of strong and weak meson-nucleonnucleon coupling constants. In this paper we show that Standard Model (SM) couplings and the 1/N c expansion of QCD predict the operators, and the sizes of the associated coefficients, which appear in the PV NN potential.An alternative framework-suitable for studying PV at very low energies-that systematizes pioneering studies [11,12] has recently emerged [13][14][15], but has, as yet, been applied to far fewer experiments. The extension of chiral perturbation theory to few-nucleon systems, χEFT [16] has also been invoked [17][18][19][20][21]. In χEFT the one-pion-exchange piece of the PV NN force dominates, with all other effects suppressed by two orders in the chiral expansion.One-pion exchange gives the long-distance parityconserving potential, and drives many of the properties of light nuclei. But, thus far, experiment...

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confidence: 99%

“…[42], resulting in the constraints on A SP and A P D shown in Fig. 2. (See also the recent χEFT analysis [20,21].) While the variables for the ellipse are motivated using plane-wave Born approximation, the calculation is not done that way.…”

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Parity-Violating Nucleon-Nucleon Force in the1/NcExpansion

2015

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“…In this work we focus on the ∆I = 1 P-violation in nucleon-nucleon interactions, and one may deduce from Eqs. (2) and (3) that they are dominated by neutral current interactions.…”

Section: Theoretical Basismentioning

confidence: 99%

“…The development of the EFT description of HPV [7][8][9][10][11][12][13][14] signifies a switch to a model-independent framework that features pion-exchanges and contact terms, where a systematic power expansion with respect to a typical small momentum scale p ensures the finiteness of the number of operators needed in any given order. Translation tables, sometimes known informally as the "Rosetta stone" [4,15], are available to connect these many different effective descriptions of the same physics [2,12,16] (where the cutoff dependence is also discussed for the translation). Finally, nuclear model calculations have been carried out to connect the HPV coupling strengths to the experimental observables in nuclear or atomic systems; examples in the ∆I = 1 channel include Refs.…”

Section: Introductionmentioning

confidence: 99%

Effective field theory in the study of long range nuclear parity violation on lattice

Guo

Seng

2019

Eur. Phys. J. C

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A non-zero signal A np γ = (−3.0 ± 1.4 ± 0.2) × 10 −8 of the gamma-ray asymmetry in the neutronproton capture was recently reported by the NPDGamma Collaboration which provides the first determination of the ∆I = 1 parity-odd pion-nucleon coupling constant h 1 π = (2.6±1.2±0.2)×10 −7 .The ability to reproduce this value from first principles serves as a direct test of our current understanding of the interplay between the strong and weak interaction at low energy. To motivate new lattice studies of h 1 π , we review the current status of the theoretical understanding of this coupling, which includes our recent work that relates it to a nucleon mass-splitting by a soft-pion theorem. We further investigate the possibility of calculating the mass-splitting on the lattice by providing effective field theory parameterizations of all the involved quark contraction diagrams.We show that the lattice calculations of the easier connected diagrams will provide information of the chiral logarithms in the much harder quark loop diagrams and thus help in the chiral extrapolation of the latter.

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“…For a detailed discussion of the PV potential see Refs. [18,37,38]. However, this counting is based on the naturalness assumption for the involved LECs.…”

Section: Pos(cd15)043mentioning

confidence: 99%

Hadronic parity violation in effective field theory

Schindler¹

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

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Parity-violating interactions between nucleons are the manifestation of an interplay of strong and weak interactions between quarks in the nucleons. Because of the short range of the weak interactions, these parity-violating forces provide a unique probe of low-energy strong interactions. An ongoing experimental program is mapping out this weak component of the nuclear force in few-nucleon systems. Recent theoretical progress in analyzing and interpreting hadronic parity violation in such systems based on effective field theory methods is described. In particular, important information on parity-violating nucleon-nucleon interactions can be gained from an asymmetry in deuteron photodisintegration, which might be measurable at a future high-intensity photon source such as the proposed upgraded HIGS facility.

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A study of the parity-odd nucleon-nucleon potential

Cited by 20 publications

References 47 publications

Parity-Violating Nucleon-Nucleon Force in the1/NcExpansion

Parity-Violating Nucleon-Nucleon Force in the1/NcExpansion

Effective field theory in the study of long range nuclear parity violation on lattice

Hadronic parity violation in effective field theory

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