9,898 research outputs found
Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
We introduce new semilocal two-nucleon potentials up to fifth order in the
chiral expansion. We employ a simple regularization approach for the
pion-exchange contributions which (i) maintains the long-range part of the
interaction, (ii) is implemented in momentum space and (iii) can be
straightforwardly applied to regularize many-body forces and current operators.
We discuss in detail the two-nucleon contact interactions at fourth order and
demonstrate that three terms out of fifteen used in previous calculations can
be eliminated via suitably chosen unitary transformations. The removal of the
redundant contact terms results in a drastic simplification of the fits to
scattering data and leads to interactions which are much softer (i.e. more
perturbative) than our recent semilocal coordinate-space regularized
potentials. Using the pion-nucleon low-energy constants from matching
pion-nucleon Roy-Steiner equations to chiral perturbation theory, we perform a
comprehensive analysis of nucleon-nucleon scattering and the deuteron
properties up to fifth chiral order and study the impact of the leading F-wave
two-nucleon contact interactions which appear at sixth order. The resulting
chiral potentials lead to an outstanding description of the proton-proton and
neutron-proton scattering data from the self-consistent Granada-2013 database
below the pion production threshold, which is significantly better than for any
other chiral potential. For the first time, the chiral potentials match in
precision and even outperform the available high-precision phenomenological
potentials, while the number of adjustable parameters is, at the same time,
reduced by about ~40%. Last but not least, we perform a detailed error analysis
and, in particular, quantify for the first time the statistical uncertainties
of the fourth- and the considered sixth-order contact interactions.Comment: 57 pages, 17 figures, 19 table
Precision nucleon-nucleon potential at fifth order in the chiral expansion
We present a nucleon-nucleon potential at fifth order in chiral effective
field theory. We find a substantial improvement in the description of
nucleon-nucleon phase shifts as compared to the fourth-order results of Ref.
[E. Epelbaum, H. Krebs, U.-G. Mei{\ss}ner, arXiv:1412.0142 [nucl-th]]. This
provides clear evidence of the corresponding two-pion exchange contributions
with all low-energy constants being determined from pion-nucleon scattering.
The fifth-order corrections to nucleon-nucleon observables appear to be of a
natural size which confirms the good convergence of the chiral expansion for
nuclear forces. Furthermore, the obtained results provide strong support for
the novel way of quantifying the theoretical uncertainty due to the truncation
of the chiral expansion proposed in Ref. [E. Epelbaum, H. Krebs, U.-G.
Mei{\ss}ner, arXiv:1412.0142 [nucl-th]]. Our work opens up new perspectives for
precision ab initio calculations in few- and many-nucleon systems and is
especially relevant for ongoing efforts towards a quantitative understanding
the structure of the three-nucleon force in the framework of chiral effective
field theory.Comment: 5 pages, 4 figures, 3 table
Nuclear axial current operators to fourth order in chiral effective field theory
We present the complete derivation of the nuclear axial charge and current
operators as well as the pseudoscalar operators to fourth order in the chiral
expansion relative to the dominant one-body contribution using the method of
unitary transformation. We demonstrate that the unitary ambiguity in the
resulting operators can be eliminated by the requirement of renormalizability
and by matching of the pion-pole contributions to the nuclear forces. We give
expressions for the renormalized single-, two- and three-nucleon contributions
to the charge and current operators and pseudoscalar operators including the
relevant relativistic corrections. We also verify explicitly the validity of
the continuity equation.Comment: 72 pages, 21 figures, 3 table
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
We present improved nucleon-nucleon potentials derived in chiral effective
field theory up to next-to-next-to-next-to-leading order. We argue that the
nonlocal momentum-space regulator employed in the two-nucleon potentials of
Refs. [E. Epelbaum, W. Gloeckle, U.-G. Mei{\ss}ner, Nucl. Phys. A747 (2005)
362], [D.R. Entem, R. Machleidt, Phys. Rev. C68 (2003) 041001] is not the most
efficient choice, in particular since it affects the long-range part of the
interaction. We are able to significantly reduce finite-cutoff artefacts by
using an appropriate regularization in coordinate space which maintains the
analytic structure of the amplitude. The new potentials do not require the
additional spectral function regularization employed in Ref. [E. Epelbaum, W.
Gloeckle, U.-G. Mei{\ss}ner, Nucl. Phys. A747 (2005) 362] to cut off the
short-range components of the two-pion exchange and make use of the low-energy
constants c_i and d_i determined from pion-nucleon scattering without any fine
tuning. We discuss in detail the construction of the new potentials and
convergence of the chiral expansion for two-nucleon observables. We also
introduce a new procedure for estimating the theoretical uncertainty from the
truncation of the chiral expansion that replaces previous reliance on cutoff
variation.Comment: 34 pages, 13 figures, 7 table
Isospin-breaking two-nucleon force with explicit Delta-excitations
We study the leading isospin-breaking contributions to the two-nucleon
two-pion exchange potential due to explicit Delta degrees of freedom in chiral
effective field theory. In particular, we find important contributions due to
the delta mass splittings to the charge symmetry breaking potential that act
opposite to the effects induced by the nucleon mass splitting.Comment: 10 pages, 4 figure
New insights into the spin structure of the nucleon
We analyze the low-energy spin structure of the nucleon in a covariant
effective field theory with explicit spin-3/2 degrees of freedom to third order
in the small scale expansion. Using the available data on the strong and
electromagnetic width of the Delta-resonance, we give parameter-free
predictions for various spin-polarizabilities and moments of spin structure
functions. We find an improved description of the nucleon spin structure at
finite photon virtualities for some observables and point out the necessity of
a fourth order calculation.Comment: 13 pages, 6 figure
Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
We confirm the claim of Ref. [D.R. Phillips, C. Schat, Phys. Rev. C88 (2013)
3, 034002] that 20 operators are sufficient to represent the most general local
isospin-invariant three-nucleon force and derive explicit relations between the
two sets of operators suggested in Refs. [D.R. Phillips, C. Schat, Phys. Rev.
C88 (2013) 3, 034002] and [H. Krebs, A.M. Gasparyan, E. Epelbaum, Phys.Rev. C87
(2013) 5, 054007]. We use the set of 20 operators to discuss the chiral
expansion of the long- and intermediate-range parts of the three-nucleon force
up to next-to-next-to-next-to-next-to-leading order in the standard formulation
without explicit Delta(1232) degrees of freedom. We also address implications
of the large-N_c expansion in QCD for the size of the various three-nucleon
force contributions.Comment: 15 pages, 6 figure
Subleading contributions to the chiral three-nucleon force I: long-range terms
We derive the long-range contributions to the tree-nucleon force at
next-to-next-to-next-to-leading order in the chiral expansion. We give both
momentum and coordinate space representations.Comment: 15 pages, 4 figure
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