Photon Asymmetries in \({nd\rightarrow}\) 3 Hγ Using EFT(\({/\!\!\!\pi}\)) Approach
- 62 Downloads
- 2 Citations
Abstract
The parity-violating Lagrangian of the weak nucleon-nucleon (NN) interaction in the pionless effective field theory (EFT(\({/\!\!\!\pi}\))) approach contains five independent unknown low-energy coupling constants (LECs). The photon asymmetry with respect to neutron polarization in \({np\rightarrow d\gamma A_\gamma^{np}}\), the circular polarization of outgoing photon in \({np\rightarrow d\gamma P_\gamma^{np}}\), the neutron spin rotation in hydrogen \({\frac{1}{\rho}\frac{d\phi^{np}}{dl}}\) , the neutron spin rotation in deuterium \({\frac{1}{\rho}\frac{d\phi^{nd}}{dl}}\) and the circular polarization of γ-emission in \({nd\rightarrow}\) 3 Hγ \({P^{nd}_\gamma}\) are the parity-violating observables which have been recently calculated in terms of parity-violating LECs in the EFT(\({/\!\!\!\pi}\)) framework. We obtain the LECs by matching the parity-violating observables to the Desplanques, Donoghue, and Holstein (DDH) best value estimates. Then, we evaluate photon asymmetry with respect to the neutron polarization \({a^{nd}_\gamma}\) and the photon asymmetry in relation to deuteron polarization \({A^{nd}_\gamma}\) in \({nd\rightarrow}\) 3 Hγ process. We finally compare our EFT(\({/\!\!\!\pi}\)) photon asymmetries results with the experimental values and the previous calculations based on the DDH model.
Keywords
Circular Polarization Parity Violation Faddeev Equation Wavy Line Neutron PolarizationPreview
Unable to display preview. Download preview PDF.
References
- 1.Danilov G.S.: Circular polarization of γ quanta in absorption of neutrons by protons and isotopic structure of weak interactions. Phys. Lett. 18, 40 (1965)CrossRefADSGoogle Scholar
- 2.Desplanques B., Missimer J.: An analysis of parity violating nuclear effects at low energy. Nucl. Phys. A 300, 286 (1978)CrossRefADSGoogle Scholar
- 3.Desplanques B., Donoghue J.F, Holstein B.R.: Unified treatment of the parity violating nuclear force. Ann. Phys. 124, 449 (1980)CrossRefADSGoogle Scholar
- 4.Schindler M.R., Springer R.P.: The theory of parity violation in few-nucleon systems. Prog. Part Nucl. Phys. 72, 1 (2013)CrossRefADSGoogle Scholar
- 5.Schindler, M.R., Springer, R.P.: Two parity-violating asymmetries from image in pionless effective field theories. Nucl. Phys. A 846, 51. [arXiv:nucl-th/0907.5358] (2010)
- 6.Griesshammer H.W., Schindler M.R., Springer R.P.: Parity-violating neutron spin rotation in hydrogen and deuterium. Eur. Phys. J. A 48, 7 (2012)CrossRefADSGoogle Scholar
- 7.Arani M.M., Bayegan S.: Parity-violating photon circular polarization in nd → 3H γ with effective field theory at thermal energy. Eur. Phys. J. A 49, 117 (2013)CrossRefADSGoogle Scholar
- 8.Cavaignac J.F., Vignon B., Wilson R.: Search for parity violation in neutron-proton capture. Phys. Lett. B 67, 148 (1977)CrossRefADSGoogle Scholar
- 9.Alberi J. et al.: Studies of parity violation using polarized slow neutron beams. Can. J. Phys. 66, 542 (1988)CrossRefADSGoogle Scholar
- 10.Snow W.M. et al.: Measurement of the parity violating asymmetry Aγ in n+p→d + γ. Phys. Res. A 440, 729 (2000)Google Scholar
- 11.Knyazkov V.A. et al.: A new experimental study of the circular polarization of np capture γ-rays. Nucl. Phys. A 417, 209 (1984)CrossRefADSGoogle Scholar
- 12.Phillips D.R, Rupak G., Savage M.J.: Improving the convergence of NN effective field theory. Phys. Lett. B 473, 209 (2000)CrossRefADSGoogle Scholar
- 13.Griesshammer H.W.: Improved convergence in the three-nucleon system at very low energies. Nucl. Phys. A 744, 192 (2004)CrossRefADSGoogle Scholar
- 14.Griesshammer, H.W., Schindler, M.R.: On parity-violating three-nucleon interactions and the predictive power of few-nucleon EFT at very low energies. Eur. Phys. J. A 46, 73. [arXiv:nucl-th/10070734] (2010)
- 15.Song, Y., Lazauskas, R., Gudkov, V.: Parity violation in radiative neutron capture on the deuteron. Phys. Rev. C bf 86, 045502. [arxiv:nucl-th/1207.7039v1] (2012)
- 16.Schiavilla R., Viviani M., Girlanda L., Kievsky A., Marcucci L.E.: Neutron spin rotation in n-d scattering. Phys. Rev. C 78, 014002 (2008)CrossRefADSGoogle Scholar
- 17.Schiavilla R., Viviani M., Girlanda L., Kievsky A., Marcucci L.E.: Erratum: Neutron spin rotation in n-d scattering [Phys. Rev. C 78, 014002 (2008)]. Phys. Rev. C 83, 029902 (2011)CrossRefADSGoogle Scholar
- 18.Desplanques B., Benayoun J.J.: Parity non-conserving effects in thermal neutron-deuteron radiative capture. Nucl. Phys. A 458, 689 (1986)CrossRefADSGoogle Scholar
- 19.Avenier A. et al.: Parity violation in nd capture. Phys. Lett. B 137, 125 (1984)CrossRefADSGoogle Scholar