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Title: Hadronic Lorentz violation in chiral perturbation theory

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Related Information: CHORUS Timestamp: 2017-03-06 22:09:14; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Kamand, Rasha, Altschul, Brett, and Schindler, Matthias R. Hadronic Lorentz violation in chiral perturbation theory. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.056005.
Kamand, Rasha, Altschul, Brett, & Schindler, Matthias R. Hadronic Lorentz violation in chiral perturbation theory. United States. doi:10.1103/PhysRevD.95.056005.
Kamand, Rasha, Altschul, Brett, and Schindler, Matthias R. Mon . "Hadronic Lorentz violation in chiral perturbation theory". United States. doi:10.1103/PhysRevD.95.056005.
title = {Hadronic Lorentz violation in chiral perturbation theory},
author = {Kamand, Rasha and Altschul, Brett and Schindler, Matthias R.},
abstractNote = {},
doi = {10.1103/PhysRevD.95.056005},
journal = {Physical Review D},
number = 5,
volume = 95,
place = {United States},
year = {Mon Mar 06 00:00:00 EST 2017},
month = {Mon Mar 06 00:00:00 EST 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.95.056005

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Cited by: 2works
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  • We study the temperature evolution of the {l_angle}{bar q}q{r_angle} condensate below the chiral phase transition. The hadronic gas is described using a virial expansion within generalized chiral perturbation theory. In such a way, we can implement both the large or small chiral condensate scenarios and analyze the condensate dependence on the values of the lightest quark masses. {copyright} {ital 1998} {ital The American Physical Society}
  • The amplitude for ordinary muon capture on the proton is evaluated, through the first four orders in the expansion parameter, in a manifestly Lorentz invariant form of baryon chiral perturbation theory. Expressions for the low energy constants in terms of physical quantities are obtained in each of the several renormalization schemes which have been proposed for forcing the relativistic approach to obey the same counting rules as obtained in heavy baryon chiral perturbation theory. The advantages and disadvantages of these schemes are discussed, using the muon capture results as an example, with the aim of gaining insight as to whichmore » scheme is preferable for practical calculations.« less
  • We calculate the nucleon form factors G{sub A} and G{sub P} of the isovector axial-vector current and the pion-nucleon form factor G{sub {pi}}{sub N} in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order O(p{sup 4}). In addition to the standard treatment including the nucleon and pions, we also consider the axial-vector meson a{sub 1} as an explicit degree of freedom. This is achieved by using the reformulated infrared renormalization scheme. We find that the inclusion of the axial-vector meson effectively results in one additional low-energy coupling constant that we determine by a fit to the data formore » G{sub A}. The inclusion of the axial-vector meson results in an improved description of the experimental data for G{sub A}, while the contribution to G{sub P} is small.« less
  • We analyze meson-baryon scattering lengths in the framework of covariant baryon chiral perturbation theory at leading one-loop order. We compute the complete set of matching relations between the dimension-two low-energy constants in the two- and three-flavor formulations of the theory. We derive new two-flavor low-energy theorems for pion-hyperon scattering that can be tested in lattice simulations.
  • Weak interactions between quarks induce a parity-violating (PV) component in the nucleon-nucleon potential, whose effects are currently being studied in a number of experiments involving few-nucleon systems. In the present work, we reconsider the derivation of this PV component within a chiral effective field theory (more » $${\chi }$$EFT) framework. Purpose: The objectives of the present work are twofold. The first is to perform a detailed analysis of the PV nucleon-nucleon potential up to next-to-next-to-leading (N2LO) order in the chiral expansion, in particular, by determining the number of independent low-energy constants (LECs) at N2LO. The second objective is to investigate PV effects in a number of few-nucleon observables, including the $$\vec{p}$$-p longitudinal asymmetry, the neutron spin rotation in n-p and n-d scattering, and the longitudinal asymmetry in the 3He( $$\vec{n}$$,p) 3H charge-exchange reaction. Methods: The $${\chi }$$EFT PV potential includes one-pion-exchange, two-pion-exchange, and contact terms as well as 1/M (M being the nucleon mass) nonstatic corrections. Dimensional regularization is used to renormalize pion loops. The wave functions for the A=2-4 nuclei are obtained by using strong two- and three-body potentials also derived, for consistency, from $${\chi }$$EFT. In the case of the A=3-4 systems, systems, the wave functions are computed by expanding on a hyperspherical harmonics functions basis. Results: We find that the PV potential at N2LO depends on six LECs: the pion-nucleon PV coupling constant h$$1\atop{π}$$ and five parameters multiplying contact interactions. An estimate for the range of values of the various LECs is provided by using available experimental data, and these values are used to obtain predictions for the other PV observables. Conclusions: The $${\chi }$$EFT approach provides a very satisfactory framework to analyze PV effects in few-nucleon systems.« less