Two-pion-exchange parity-violating potential and np → dγ

Hyun, Chang Ho; Ando, Shung-Ichi; Desplanques, B.

doi:10.1140/epja/i2006-10426-8

Cited by 12 publications

(15 citation statements)

References 10 publications

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“…One can see that only the new operator structure, which is not included in DDH or pionless EFT, is due to V P V 1,LR . Therefore, pionful EFT does not introduce new operator structure, provided we neglect V P V 1,LR term [6,23]. To see a sensitivity to the choice of cutoffs for parity violating potentials, we used two set of cutoff parameters for each models, which are listed in the Table II. Using the discussed above three potentials, one can represent parity violating amplitudes as a linear expansion in terms of given set of matrix elements for corresponding operators O (n) ij .…”

Section: B the Parity Violating Potentialsmentioning

confidence: 99%

Parity violation in low-energy neutron-deuteron scattering

2011

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Parity violating effects for low energy elastic neutron deuteron scattering are calculated for DDH and EFT-type of weak potentials in a Distorted Wave Born Approximation, using realistic hadronic strong interaction wave functions, obtained by solving three-body Faddeev equations in configuration space. The results of relation between physical observables and low energy constants can be used to fix low energy constants from experiments. Potential model dependencies of parity violating effects are discussed.

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Section: B the Parity Violating Potentialsmentioning

confidence: 99%

Parity violation in low-energy neutron-deuteron scattering

2011

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“…Such a suppression of the parity-violating 2π-exchange interaction as deduced here from the ratio of coordinate space potentials is quantitatively consistent with the results of ref. [5]. There the combined effect of a cut-off regularized 2π-exchange, short-distance counterterms and the new electromagnetic operator on the photon asymmetry A γ ( np → dγ) has been quantified as a (minus) 10 ∼ 20% correction to the dominant one-pion exchange contribution.…”

Section: −2 Nmentioning

confidence: 99%

“…For the parity-violating πNN-coupling constant h π an experimental upper bound is known to be |h π | < 1.43 · 10 −7 [1]. An improved determination of this coupling constant is expected from a measurement of the photon asymmetry A γ in the radiative capture of thermal neutrons np → dγ [5,6,7].…”

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confidence: 99%

Parity-violating two-pion exchange nucleon-nucleon interaction

Kaiser¹

2007

Phys. Rev. C

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We calculate in chiral perturbation theory the parity-violating two-pion exchange nucleon-nucleon potentials at leading one-loop order. At a distance of r = m −1 π ≃ 1.4 fm they amount to about ±16% of the parity-violating 1π-exchange potential. We evaluate also the parity-violating effects arising from 2π-exchange with excitation of virtual ∆(1232)-isobars. These come out to be relatively small in comparison to those from diagrams with only nucleon intermediate states. The reason for this opposite behavior to the parity-conserving case is the blocking of the dominant isoscalar central channel by CP-invariance. Furthermore, we calculate the T-matrix related to the iteration of the parity-violating 1π-exchange with the parity-conserving one. The analytical results presented in this work can be easily implemented into calculations of parity-violating nuclear observables.PACS: 12.20.Ds, 12.38.Bx, 21.30.Cb.Nuclear parity violation is an important tool to study the standard model of strong and electroweak interactions [1,2]. In the two-nucleon system parity violation has been traditionally represented by parity-violating one-meson exchange where the strong and weak interactions are parametrized through parity-conserving and parity-violating meson-nucleon vertices. Due to CP-invariance, there exists no parity-violating coupling of neutral scalar or pseudoscalar mesons to nucleons (Barton's theorem). Therefore, standard parametrizations of the parity-violating NN-potential involve the exchange of charged pions (π ± ) as well as vector mesons (ρ ±,0 and ω). The pertinent parity-violating meson-nucleon coupling constants h

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“…The consequences of χ ET for PV NN scattering, as well as other PV few-nucleon-system observables, have been computed in Refs. [30][31][32]. However, the PV operators and strong-nuclear-force wave functions employed in these works were not consistent, since phenomenological models were used for the latter, but a χ ET for the former.…”

Section: Introductionmentioning

confidence: 99%

An effective-field-theory analysis of low-energy parity-violation in nucleon–nucleon scattering

2009

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We analyze parity-violating nucleon-nucleon scattering at energies E < m 2 π /M using the effective field theory appropriate for this regime. The minimal Lagrangian for short-range parity-violating NN interactions is written in an operator basis that encodes the five partial-wave transitions that dominate at these energies. We calculate the leading-order relationships between parity-violating NN asymmetries and the coefficients in the Lagrangian and also discuss the size of sub-leading corrections. We conclude with a discussion of further observables needed to completely determine the leading-order Lagrangian.

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Two-pion-exchange parity-violating potential and np → dγ

Cited by 12 publications

References 10 publications

Parity violation in low-energy neutron-deuteron scattering

Parity violation in low-energy neutron-deuteron scattering

Parity-violating two-pion exchange nucleon-nucleon interaction

An effective-field-theory analysis of low-energy parity-violation in nucleon–nucleon scattering

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