1,011 research outputs found
Unification of the physics of nucleons and nuclei
I outline an ambitious program which aims to achieve a unified description of
nucleon and nuclear properties based on one chiral effective field theory.Comment: 9 pp, 6 figs, plenary talk at 17th International IUPAP Conference on
Few-body Problems in Physics, June 5-10, 2003, Durham, North Carolina, US
To bind or not to bind: The H-dibaryon in light of chiral effective field theory
We analyse the quark mass dependence of the binding energy of the H-dibaryon
in the framework of chiral effective field theory. We show that the SU(3)
breaking effects induced by the differences of the pertinent two-baryon
thresholds (Lambda-Lambda, Xi-N, Sigma-Sigma) have a very pronounced impact
that need to be incorporated properly in future lattice QCD simulations. We
also point out that if the H-dibaryon is a two-baryon bound state, its dominant
component is Xi-N rather than Lambda-Lambda, which is a consequence of the
approximate SU(3) flavor symmetry of the two-baryon interactions.Comment: 8 pages, 2 figures; Results updated to the new H binding energy
reported by NPLQCD, conclusions remain unchanged, several references adde
Deconstructing triplet nucleon-nucleon scattering
Nucleon-nucleon scattering in spin-triplet channels is analysed within an
effective field theory where one-pion exchange is treated nonperturbatively.
Justifying this requires the identification of an additional low-energy scale
in the strength of that potential. Short-range interactions are organised
according to the resulting power counting, in which the leading term is
promoted to significantly lower order than in the usual perturbative counting.
In each channel there is a critical momentum above which the waves probe the
singular core of the tensor potential and the new counting is necessary. When
the effects of one- and two-pion exchange have been removed using a
distorted-wave Born approximation, the residual scattering in waves with L<=2
is well described by the first three terms in the new counting. In contrast,
the scattering in waves with L>=3 is consistent with the perturbative counting,
at least for energies up to 300 MeV. This pattern is in agreement with
estimates of the critical momenta in these channels.Comment: 13 pages, RevTeX, 8 figures, minor clarifications adde
On the modification of the Efimov spectrum in a finite cubic box
Three particles with large scattering length display a universal spectrum of
three-body bound states called "Efimov trimers''. We calculate the modification
of the Efimov trimers of three identical bosons in a finite cubic box and
compute the dependence of their energies on the box size using effective field
theory. Previous calculations for positive scattering length that were
perturbative in the finite volume energy shift are extended to arbitrarily
large shifts and negative scattering lengths. The renormalization of the
effective field theory in the finite volume is explicitly verified. Moreover,
we investigate the effects of partial wave mixing and study the behavior of
shallow trimers near the dimer energy. Finally, we provide numerical evidence
for universal scaling of the finite volume corrections.Comment: 21 pages, 8 figures, published versio
The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
The pion-deuteron scattering length is computed to next-to-next-to-leading
order in baryon chiral perturbation theory. A modified power-counting is then
formulated which properly accounts for infrared enhancements engendered by the
large size of the deuteron, as compared to the pion Compton wavelength. We use
the precise experimental value of the real part of the pion-deuteron scattering
length determined from the decay of pionic deuterium, together with constraints
on pion-nucleon scattering lengths from the decay of pionic hydrogen, to
extract the isovector and isoscalar S-wave pion-nucleon scattering lengths, a^-
and a^+, respectively. We find a^-=(0.0918 \pm 0.0013) M_\pi^{-1} and
a^+=(-0.0034 \pm 0.0007) M_\pi^{-1}.Comment: 19 pages LaTeX, 7 eps fig
Improved analysis of neutral pion electroproduction off deuterium in chiral perturbation theory
Near threshold neutral pion electroproduction on the deuteron is studied in
the framework of heavy baryon chiral perturbation theory. We include the
next-to-leading order corrections to the three-body contributions. We find an
improved description of the total and differential cross section data measured
at MAMI. We also obtain more precise values for the threshold S-wave
multipoles. We discuss in detail the theoretical uncertainties of the
calculation.Comment: 14 pp, 11 figs, uses svjour.cl
The Delta-resonance in a finite volume
We study the extraction of Delta-resonance parameters from lattice data for
small quark masses, corresponding to the case of an unstable Delta. To this
end, we calculate the spectrum of the correlator of two Delta-fields in a
finite Euclidian box up-to-and-including O(epsilon^3) in the small scale
expansion using infrared regularization. On the basis of our numerical study,
we argue that the extraction of the parameters of the Delta-resonance (in
particular, of the mass and the pion-nucleon-delta coupling constant) from the
measured volume dependence of the lowest energy levels should be feasible.Comment: 20 pages, 8 postscript figure
Baryon Axial Charge in a Finite Volume
We compute finite-volume corrections to nucleon matrix elements of the
axial-vector current. We show that knowledge of this finite-volume dependence
--as well as that of the nucleon mass-- obtained using lattice QCD will allow a
clean determination of the chiral-limit values of the nucleon and
Delta-resonance axial-vector couplings.Comment: 11 pages, 8 figure
Low Energy Constants from High Energy Theorems
New constraints on resonance saturation in chiral perturbation theory are
investigated. These constraints arise because each consistent saturation scheme
must map to a representation of the full QCD chiral symmetry group. The
low-energy constants of chiral perturbation theory are then related by a set of
mixing angles. It is shown that vector meson dominance is a consequence of the
fact that nature has chosen the lowest-dimensional nontrivial chiral
representation. It is further shown that chiral symmetry places an upper bound
on the mass of the lightest scalar in the hadron spectrum.Comment: 11 pages TeX and mtexsis.te
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