2,355 research outputs found
\pi N scattering in relativistic baryon chiral perturbation theory revisited
We have analyzed pion-nucleon scattering using the manifestly relativistic
covariant framework of Infrared Regularization up to {\cal O}(q^3) in the
chiral expansion, where q is a generic small momentum. We describe the
low-energy phase shifts with a similar quality as previously achieved with
Heavy Baryon Chiral Perturbation Theory, \sqrt{s}\lesssim1.14 GeV. New values
are provided for the {\cal O}(q^2) and {\cal O}(q^3) low-energy constants,
which are compared with previous determinations. This is also the case for the
scattering lengths and volumes. Finally, we have unitarized the previous
amplitudes and as a result the energy range where data are reproduced increases
significantly.Comment: 26 pages, 5 figures, 5 table
Robust zero-energy modes in an electronic higher-order topological insulator: the dimerized Kagome lattice
Quantum simulators are an essential tool for understanding complex quantum
materials. Platforms based on ultracold atoms in optical lattices and photonic
devices led the field so far, but electronic quantum simulators are proving to
be equally relevant. Simulating topological states of matter is one of the holy
grails in the field. Here, we experimentally realize a higher-order electronic
topological insulator (HOTI). Specifically, we create a dimerized Kagome
lattice by manipulating carbon-monoxide (CO) molecules on a Cu(111) surface
using a scanning tunneling microscope (STM). We engineer alternating weak and
strong bonds to show that a topological state emerges at the corner of the
non-trivial configuration, while it is absent in the trivial one. Contrarily to
conventional topological insulators (TIs), the topological state has two
dimensions less than the bulk, denoting a HOTI. The corner mode is protected by
a generalized chiral symmetry, which leads to a particular robustness against
perturbations. Our versatile approach to quantum simulation with artificial
lattices holds promises of revealing unexpected quantum phases of matter
Nucleon-Nucleon interaction, charge symmetry breaking and renormalization
We study the interplay between charge symmetry breaking and renormalization
in the NN system for s-waves. We find a set of universality relations which
disentangle explicitly the known long distance dynamics from low energy
parameters and extend them to the Coulomb case. We analyze within such an
approach the One-Boson-Exchange potential and the theoretical conditions which
allow to relate the proton-neutron, proton-proton and neutron-neutron
scattering observables without the introduction of extra new parameters and
providing good phenomenological success.Comment: 15 pages, 6 figure
SU(3) Decomposition of Two-Body B Decay Amplitudes
We present the complete flavor SU(3) decomposition of decay amplitudes for
decays of the triplet (B^+_u, B^0_d, B^0_s) of B mesons nonleptonically into
two pseudoscalar mesons. This analysis holds for arbitrarily broken SU(3) and
can be used to generate amplitude relations when physical arguments permit one
to neglect or relate any of the reduced amplitudes.Comment: 31 pages, revtex, no figure
Where are the missing members of the baryon antidecuplet?
We analyze what consequences has the observation of exotic pentaquark baryons
on the location of the non-exotic baryons belonging to the antidecuplet. We
suggest that there must be a new nucleon state at 1650-1690 MeV and a new Sigma
baryon at 1760-1810 MeV.Comment: 5 pages, 1 figure. Missing reference adde
Nonempirical Density Functionals Investigated for Jellium: Spin-Polarized Surfaces, Spherical Clusters, and Bulk Linear Response
Earlier tests show that the Tao-Perdew-Staroverov-Scuseria (TPSS)
nonempirical meta-generalized gradient approximation (meta-GGA) for the
exchange-correlation energy yields more accurate surface energies than the
local spin density (LSD) approximation for spin-unpolarized jellium. In this
study, work functions and surface energies of a jellium metal in the presence
of ``internal'' and external magnetic fields are calculated with LSD,
Perdew-Burke-Ernzerhof (PBE) GGA, and TPSS meta-GGA and its predecessor, the
nearly nonempirical Perdew-Kurth-Zupan-Blaha (PKZB) meta-GGA, using
self-consistent LSD orbitals and densities. The results show that: (i) For
normal bulk densities, the surface correlation energy is the same in TPSS as in
PBE, as it should be since TPSS strives to represent a self-correlation
correction to PBE; (ii) Normal surface density profiles can be scaled uniformly
to the low-density or strong-interaction limit, and TPSS provides an estimate
for that limit that is consistent with (but probably more accurate than) other
estimates; (iii) For both normal and low densities, TPSS provides the same
description of surface magnetism as PBE, suggesting that these approximations
may be generally equivalent for magnetism. The energies of jellium spheres with
up to 106 electrons are calculated using density functionals and compared to
those obtained with Diffusion Quantum Monte Carlo data, including our estimate
for the fixed-node correction. Finally we calculate the linear response of bulk
jellium using these density functionals, and find that not only LSD but also
PBE GGA and TPSS meta-GGA yield a linear-response in good agreement with that
of the Quantum Monte Carlo method, for wavevectors of the perturbing external
potential up to twice the Fermi wavevector.Comment: 14 pages, 9 figure
Chiral effective theory predictions for deuteron form factor ratios at low Q^2
We use chiral effective theory to predict the deuteron form factor ratio
G_C/G_Q as well as ratios of deuteron to nucleon form factors. These ratios are
calculated to next-to-next-to-leading order. At this order the chiral expansion
for the NN isoscalar charge operator (including consistently calculated 1/M
corrections) is a parameter-free prediction of the effective theory. Use of
this operator in conjunction with NLO and NNLO chiral effective theory wave
functions produces results that are consistent with extant experimental data
for Q^2 < 0.35 GeV^2. These wave functions predict a deuteron quadrupole moment
G_Q(Q^2=0)=0.278-0.282 fm^2-with the variation arising from short-distance
contributions to this quantity. The variation is of the same size as the
discrepancy between the theoretical result and the experimental value. This
motivates the renormalization of G_Q via a two-nucleon operator that couples to
quadrupole photons. After that renormalization we obtain a robust prediction
for the shape of G_C/G_Q at Q^2 < 0.3 GeV^2. This allows us to make precise,
model-independent predictions for the values of this ratio that will be
measured at the lower end of the kinematic range explored at BLAST. We also
present results for the ratio G_C/G_M.Comment: 31 pages, 7 figure
Dynamic polarization effects on the angular distributions of protons channeled through carbon nanotubes in dielectric media
The best level of ordering and straightening of carbon nanotube arrays is
often achieved when they are grown in a dielectric matrix, so such structures
present the most suitable candidates for future channeling experiments with
carbon nanotubes. Consequently, we investigate here how the dynamic
polarization of carbon valence electrons in the presence of various surrounding
dielectric media affects the angular distributions of protons channeled through
(11,~9) single-wall carbon nanotubes. Proton speeds between 3 and 10 a.u.,
corresponding to energies of 0.223 and 2.49 MeV, are chosen with the nanotube's
length varied between 0.1 and 1 m. We describe the repulsive interaction
between a proton and the nanotube's atoms in a continuum-potential
approximation based on the Doyle-Turner potential, whereas the attractive image
force on a proton is calculated using a two-dimensional hydrodynamic model for
the dynamic response of the nanotube valence electrons, while assigning to the
surrounding medium an appropriate (frequency dependent) dielectric function.
The angular distributions of channeled protons are generated using a computer
simulation method which solves the proton equations of motion in the transverse
plane numerically. Our analysis shows that the presence of a dielectric medium
can strongly affect both the appearance and positions of maxima in the angular
distributions of channeled protons.Comment: 14 pages, 11 figures, Accepted for publication in Phys. Rev.
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