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Title: Parity-violating three-nucleon interactions at low energies and large N C

Abstract

The parity-violating (PV) nucleon-nucleon (NN) interaction in the three-nucleon system is investigated using pionless effective field theory (EFT(π/)). Here, this work shows that a next-to-leading order (NLO) PV three-body force is necessary, in contradiction with a previous claim. Including three-body P- to D-wave transitions, PV three-nucleon observables are calculated to higher energies than previously considered.Using the large-NC hierarchy of LECs, the sizes of the leading order (LO) in large-NC LECs are estimated using an experimental bound on a parity violating asymmetry in → pd scattering at Elab = 15 MeV and a measurement of → pp scattering at Elab = 13.6 MeV. Comparing the size of the resulting LO(O(NC)) in large-NC LECs to the N2LO(O(N– 1C)) in large-NC LEC g4(N–1C) shows they are roughly the same size, in contradiction with current large-NC counting.

Authors:
 [1]
  1. Stetson Univ., DeLand, FL (United States)
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1609639
Alternate Identifier(s):
OSTI ID: 1511526
Grant/Contract Number:  
FG02-05ER41368
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C
Additional Journal Information:
Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; physics; effective field theory; electroweak interactions in nuclear physics; few-body systems; nuclear forces; nucleon-nucleon interactions

Citation Formats

Vanasse, Jared. Parity-violating three-nucleon interactions at low energies and large NC. United States: N. p., 2019. Web. doi:10.1103/physrevc.99.054001.
Vanasse, Jared. Parity-violating three-nucleon interactions at low energies and large NC. United States. https://doi.org/10.1103/physrevc.99.054001
Vanasse, Jared. Wed . "Parity-violating three-nucleon interactions at low energies and large NC". United States. https://doi.org/10.1103/physrevc.99.054001. https://www.osti.gov/servlets/purl/1609639.
@article{osti_1609639,
title = {Parity-violating three-nucleon interactions at low energies and large NC},
author = {Vanasse, Jared},
abstractNote = {The parity-violating (PV) nucleon-nucleon (NN) interaction in the three-nucleon system is investigated using pionless effective field theory (EFT(π/)). Here, this work shows that a next-to-leading order (NLO) PV three-body force is necessary, in contradiction with a previous claim. Including three-body P- to D-wave transitions, PV three-nucleon observables are calculated to higher energies than previously considered.Using the large-NC hierarchy of LECs, the sizes of the leading order (LO) in large-NC LECs are estimated using an experimental bound on a parity violating asymmetry in → pd scattering at Elab = 15 MeV and a measurement of → pp scattering at Elab = 13.6 MeV. Comparing the size of the resulting LO(O(NC)) in large-NC LECs to the N2LO(O(N– 1C)) in large-NC LEC g4(N–1C) shows they are roughly the same size, in contradiction with current large-NC counting.},
doi = {10.1103/physrevc.99.054001},
journal = {Physical Review. C},
number = 5,
volume = 99,
place = {United States},
year = {Wed May 08 00:00:00 EDT 2019},
month = {Wed May 08 00:00:00 EDT 2019}
}

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Cited by: 7 works
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Works referenced in this record:

Parity violation in proton-proton scattering at 13.6 MeV
journal, February 1991


Effective theory of the triton
journal, August 2000


Hadronic parity violation on the lattice
journal, August 2002


Nuclear parity violation in effective field theory
journal, February 2005


A new expansion for nucleon-nucleon interactions
journal, April 1998


Parity-Violating Nucleon-Nucleon Force in the 1 / N c Expansion
journal, February 2015


Three-body systems in pionless effective field theory
journal, May 2016


Power counting and Wilsonian renormalization in nuclear effective field theory
journal, May 2016


On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei
journal, January 1937


The three-boson system with short-range interactions
journal, February 1999


A recipe for EFT uncertainty quantification in nuclear physics
journal, February 2015

  • Furnstahl, R. J.; Phillips, D. R.; Wesolowski, S.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034028

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999


Nuclear Parity Violation from Lattice QCD
conference, July 2016

  • Kurth, Thorsten; Walker-Loud, Andre; Nicholson, Amy
  • Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)
  • DOI: 10.22323/1.251.0329

W -Spin and B -Spin Subgroups of SU(12)
journal, April 1965


The neutron-deuteron scattering lengths
journal, September 1971


Parity violation in nd capture
journal, March 1984


Three-Nucleon Bound States and the Wigner-SU(4) Limit
journal, January 2017


Fully perturbative calculation of n d scattering to next-to-next-to-leading order
journal, October 2013


The theory of parity violation in few-nucleon systems
journal, September 2013


Large- N c limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
journal, February 2016

  • Schindler, Matthias R.; Springer, Roxanne P.; Vanasse, Jared
  • Physical Review C, Vol. 93, Issue 2
  • DOI: 10.1103/PhysRevC.93.025502

Unified treatment of the parity violating nuclear force
journal, February 1980


Parity-violating neutron spin rotation in hydrogen and deuterium
journal, January 2012

  • Grießhammer, H. W.; Schindler, M. R.; Springer, R. P.
  • The European Physical Journal A, Vol. 48, Issue 1
  • DOI: 10.1140/epja/i2012-12007-8

Two-nucleon systems from effective field theory
journal, November 1998


Range corrections to doublet S-wave neutron–deuteron scattering
journal, September 2001


Parity violation in n d interactions
journal, July 2012


n d scattering and the A y puzzle to next-to-next-to-next-to-leading order
journal, May 2016


Two parity-violating asymmetries from in pionless effective field theories
journal, November 2010


Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
journal, April 2013


On parity-violating three-nucleon interactions and the predictive power of few-nucleon EFT at very low energies
journal, August 2010


An effective-field-theory analysis of low-energy parity-violation in nucleon–nucleon scattering
journal, May 2009


Parity-violating polarization in np d γ with a pionless effective field theory
journal, May 2010


Improved convergence in the three-nucleon system at very low energies
journal, November 2004


He 3 and p d scattering to next-to-leading order in pionless effective field theory
journal, June 2014


First Observation of P -odd γ Asymmetry in Polarized Neutron Capture on Hydrogen
journal, December 2018


Low energy expansion in the three body system to all orders and the triton channel
journal, February 2003


Quantifying truncation errors in effective field theory
journal, August 2015


A new experimental study of the circular polarization of np capture γ-rays
journal, April 1984


Naïve dimensional analysis for three-body forces without pions
journal, October 2005


Lattice QCD calculation of nuclear parity violation
journal, February 2012


A New Paradigm for Hadronic Parity Nonconservation and Its Experimental Implications
journal, October 2017


Improving the convergence of NN effective field theory
journal, February 2000


Triton charge radius to next-to-next-to-leading order in pionless effective field theory
journal, February 2017


The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
journal, July 2012


Works referencing / citing this record:

Parity- and Time-Reversal-Violating Nuclear Forces
journal, July 2020