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Title: Relativistic gravity and parity-violating nonrelativistic effective field theories

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 12; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

Wu, Chaolun, and Wu, Shao-Feng. Relativistic gravity and parity-violating nonrelativistic effective field theories. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.126004.
Wu, Chaolun, & Wu, Shao-Feng. Relativistic gravity and parity-violating nonrelativistic effective field theories. United States. doi:10.1103/PhysRevD.91.126004.
Wu, Chaolun, and Wu, Shao-Feng. Thu . "Relativistic gravity and parity-violating nonrelativistic effective field theories". United States. doi:10.1103/PhysRevD.91.126004.
title = {Relativistic gravity and parity-violating nonrelativistic effective field theories},
author = {Wu, Chaolun and Wu, Shao-Feng},
abstractNote = {},
doi = {10.1103/PhysRevD.91.126004},
journal = {Physical Review D},
number = 12,
volume = 91,
place = {United States},
year = {Thu Jun 11 00:00:00 EDT 2015},
month = {Thu Jun 11 00:00:00 EDT 2015}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.126004

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Cited by: 2works
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  • Relativistic density-dependent effective interactions for nucleon-nucleus scattering based upon a complete set of Lorentz-invariant {ital NN} amplitudes are used in calculations of elastic and inelastic scattering to normal-parity states of self-conjugate targets. Owing to distortion of Dirac spinors by the relativistic mean fields, the effective interaction appropriate for use in a Schroedinger formalism incorporates relativistic density dependence, which is stronger for inelastic than elastic scattering. The dominant effect for normal-parity transitions is equivalent to a short-ranged repulsive contribution to the real central interaction that is proportional to density and nearly independent of energy. Pauli blocking of occupied intermediate states ismore » included and gives results similar to the familiar Clementel-Villi damping of the absorptive potential. The relativistic effective interaction is compared with nonrelativistic {ital G}-matrix calculations and with empirical effective interactions fitted to data for proton elastic and inelastic scattering. Calculations for elastic and inelastic scattering are compared with data for 200, 318, and 500 MeV and we find that the agreement with data improves as the energy increases. The density dependence of the relativistic model is much stronger at low energies than either the {ital G} matrix or the empirical interaction; its repulsive contribution to the central interaction is too strong to give a good description of the data for 200 MeV. Near 500 MeV the relativistic interaction is closer to the empirical interaction and better agreement with the data is obtained, whereas the density dependence of nonrelativistic effective interactions is too small.« less
  • The effective Lagrangian and power counting rules for nonrelativistic gauge theories are derived via a systematic expansion in the large c limit. It is shown that the 1/c expansion leads to an effective field theory which incorporates a multipole expansion. Within this theory there is no need for heuristic arguments to determine the scalings of operators. After eliminating c from the lowest order Lagrangian the states of the theory become independent of c and the scaling of an operator is given simply by its overall coefficient. We show how this power counting works in the calculation of the Lamb shiftmore » within the effective field theory formalism. {copyright} {ital 1997} {ital The American Physical Society}« less
  • A newly-proposed parity-violating nucleon-nucleon interaction based on effective field theory is studied in this work. Using the hybrid effective field theory treatment, it is found that the parity-violating phenomena at low energy, where S-P transitions dominate, can be well specified by a set of six parameters. This includes five low-energy constants, which are equivalent to the Danilov parameters, and an additional parameter that characterizes the long-range one-pion exchange and is proportional to the parity-violating pion-nucleon coupling constant h{sub {pi}}{sup 1}. Selected observables in two-nucleon systems are analyzed, with their dependences on these parameters being determined by employing high-quality wave functions.
  • We consider the two-nucleon weak interaction with a pionless effective field theory. Dibaryon fields are introduced to ensure fast convergence of the perturbative expansion. Weak interactions are accounted for with the parity-violating dibaryon-nucleon-nucleon vertices, which contain unknown weak coupling constants. We apply the model to the calculation of a parity-violating observable in the radiative neutron capture on a proton at threshold. Result is obtained up to the linear order of the weak dibaryon-nucleon-nucleon coupling constants. We compare our result to the ones obtained from other approaches, and discuss investigation of the weak interaction in few-body systems.