The theory of parity violation in few-nucleon systems

Schindler, Matthias R.; Springer, Roxanne P.

doi:10.1016/j.ppnp.2013.05.002

Cited by 52 publications

(39 citation statements)

References 277 publications

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“…In addition, as pointed out in Ref. [4], the relations between LECs and model parameters contain sizable uncertainties as they can strongly depend on several regularization scales. Therefore, even with the LECs estimated using the DDH "best values," a comparison with previous model calculations is not very reliable.…”

Section: Parity-violating Asymmetry and Resultsmentioning

confidence: 94%

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Energy dependence of the parity-violating asymmetry of circularly polarized photons indγ⃗→npin pionless effective field theory

Vanasse

Schindler

2014

Phys. Rev. C

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We calculate the energy dependence of the asymmetry in the cross sections for circularly polarized photons on an unpolarized deuteron target in d γ → np in pionless effective field theory. By matching the parity-violating low-energy constants to different sets of corresponding model parameters we obtain estimates for the asymmetry. In addition we calculate a possible figure of merit for the asymmetry in order to assess the preferred photon energy at which to perform a possible future experiment at a high-intensity photon source. *

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Section: Parity-violating Asymmetry and Resultsmentioning

confidence: 94%

“…Similarly, by comparison of the dEFT π calculation of pp scattering [4] with the experimental result at 13.6 MeV [8], the size of the LECs can be estimated to be…”

Section: Parity-violating Asymmetry and Resultsmentioning

confidence: 99%

Energy dependence of the parity-violating asymmetry of circularly polarized photons indγ⃗→npin pionless effective field theory

Vanasse

Schindler

2014

Phys. Rev. C

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“…As this technique has successfully recovered the short-distance contributions to np → dγ, it also seems likely that it can be generalized to the calculation of parity-violating observables in this process resulting from weak interactions, or from physics beyond the Standard Model (see Ref. [57] for a review). Finally, the present work reinforces the utility of combining lattice QCD calculations with low-energy effective field theories describing multinucleon systems [58].…”

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confidence: 99%

Ab initioCalculation of thenp→dγRadiative Capture Process

et al. 2015

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Lattice QCD calculations of two-nucleon systems are used to isolate the short-distance two-body electromagnetic contributions to the radiative capture process np → dγ, and the photo-disintegration processes γ ðÃÞ d → np. In nuclear potential models, such contributions are described by phenomenological meson-exchange currents, while in the present work, they are determined directly from the quark and gluon interactions of QCD. Calculations of neutron-proton energy levels in multiple background magnetic fields are performed at two values of the quark masses, corresponding to pion masses of m π ∼ 450 and 806 MeV, and are combined with pionless nuclear effective field theory to determine the amplitudes for these low-energy inelastic processes. At m π ∼ 806 MeV, using only lattice QCD inputs, a cross section σ 806 MeV ∼ 17 mb is found at an incident neutron speed of v ¼ 2; 200 m=s. Extrapolating the short-distance contribution to the physical pion mass and combining the result with phenomenological scattering information and one-body couplings, a cross section of σ lqcd ðnp → dγÞ ¼ 334.9ð þ5.2 −5.4 Þ mb is obtained at the same incident neutron speed, consistent with the experimental value of σ expt ðnp → dγÞ ¼ 334.2ð0.5Þ mb. The radiative capture process, np → dγ, plays a critical role in big bang nucleosynthesis (BBN) as it is the starting point for the chain of reactions that form most of the light nuclei in the cosmos. Studies of radiative capture [1][2][3], and the inverse processes of deuteron electro-and photodisintegration, γ ðÃÞ d → np [4][5][6][7], have constrained these cross sections and have also provided critical insights into the interactions between nucleons and photons. They conclusively show the importance of non-nucleonic degrees of freedom in nuclei, which arise from meson-exchange currents (MECs) in the context of nuclear potential models [8,9]. Nevertheless, in the energy range relevant for BBN, experimental investigations are challenging [10]. For the analogous weak interactions of multinucleon systems, considerably less is known from experiment but these processes are equally important. The weak two-nucleon interactions currently contribute the largest uncertainty in calculations of the rate for proton-proton fusion in the Sun [11][12][13][14][15][16][17], and in neutrino-disintegration of the deuteron [18], which is a critical process needed to disentangle solar neutrino oscillations. Given the phenomenological importance of electroweak interactions in light nuclei, direct determinations from the underlying theory of strong interaction, quantum chromodynamics (QCD), are fundamental to future theoretical progress. Such determinations are also of significant phenomenological importance for calibrating long-baseline neutrino experiments and for investigations of double beta decay in nuclei. In this Letter, we take the initial steps towards meeting this challenge and present the first lattice QCD (LQCD) calculations of the np → dγ process. The results are in good agreement with experiment and show...

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“…The calculations presented here form part of a comprehensive effort to analyze and interpret hadronic parity violation in few-nucleon systems. There are a number of further observables in four-and five-nucleon systems, such as an asymmetry in p 4 He scattering 06001-p. 3 EPJ Web of Conferences or the neutron spin rotation angle in a 4 He target, for which experimental results exist [21,22]. Consistent EFT calculations for these observables are very desirable and would provide important additional information.…”

Section: Discussionmentioning

confidence: 99%

“…For reviews see, e.g., Refs. [1][2][3][4]. Parity-violating effects can be isolated in pseudoscalar observables, which would vanish if parity was conserved.…”

Section: Introductionmentioning

confidence: 99%

Hadronic Parity Violation in Few-Nucleon Systems

Schindler

2013

Few-Body Syst

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Abstract. The weak interaction between quarks induces a parity-violating component in the interactions between nucleons, which is expected to be suppressed by a factor of about 10 −7 to 10 −6 compared to the dominant parity-conserving part of the interaction. A theoretical framework to analyze and interpret parity-violating observables in few-nucleon systems is described and selected results are presented.

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The theory of parity violation in few-nucleon systems

Cited by 52 publications

References 277 publications

Energy dependence of the parity-violating asymmetry of circularly polarized photons indγ⃗→npin pionless effective field theory

Energy dependence of the parity-violating asymmetry of circularly polarized photons indγ⃗→npin pionless effective field theory

Ab initioCalculation of thenp→dγRadiative Capture Process

Hadronic Parity Violation in Few-Nucleon Systems

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