211 research outputs found
BFT Hamiltonian embedding for SU(3) Skyrmion
We newly apply the Batalin, Fradkin and Tyutin (BFT) formalism to the SU(3)
flavor Skyrmion model to investigate the Weyl ordering correction to the
structure of the hyperfine splittings of strange baryons. On the other hand,
the Berry phases and Casimir effects are also discussed.Comment: 14 pages, modified titl
A novel framework for discharge uncertainty quantification applied to 500 UK gauging stations
Benchmarking the quality of river discharge data and understanding its information content for hydrological analyses is an important task for hydrologic science. There is a wide variety of techniques to assess discharge uncertainty. However, few studies have developed generalized approaches to quantify discharge uncertainty. This study presents a generalized framework for estimating discharge uncertainty at many gauging stations with different errors in the stage‐discharge relationship. The methodology utilizes a nonparametric LOWESS regression within a novel framework that accounts for uncertainty in the stage‐discharge measurements, scatter in the stage‐discharge data and multisection rating curves. The framework was applied to 500 gauging stations in England and Wales and we evaluated the magnitude of discharge uncertainty at low, mean and high flow points on the rating curve. The framework was shown to be robust, versatile and able to capture place‐specific uncertainties for a number of different examples. Our study revealed a wide range of discharge uncertainties (10–397% discharge uncertainty interval widths), but the majority of the gauging stations (over 80%) had mean and high flow uncertainty intervals of less than 40%. We identified some regional differences in the stage‐discharge relationships, however the results show that local conditions dominated in determining the magnitude of discharge uncertainty at a gauging station. This highlights the importance of estimating discharge uncertainty for each gauging station prior to using those data in hydrological analyses
Kaon Condensation in the Bound-State Approach to the Skyrme Model
We explore kaon condensation using the bound-state approach to the Skyrme
model on a 3-sphere. The condensation occurs when the energy required to
produce a falls below the electron fermi level. This happens at the
baryon number density on the order of 3--4 times nuclear density.Comment: LaTeX format, 15 pages. 3 Postscript figures, compressed and
uuencode
Random Antiferromagnetic Spin-1/2 Chains with Competing Interactions
We study disordered antiferromagnetic spin-1/2 chains with nearest- and
further-neighbor interactions using the real-space renormalization-group
method. We find that the system supports two different phases, depending on the
ratio of the strength between nearest-neighbor and further-neighbor
interactions as well the bond randomness strength. For weak further neighbor
coupling the system is in the familiar random singlet phase, while stronger
further neighbor coupling drives the system to a large spin phase similar to
that found in the study of random antiferromagnetic-ferromagnetic spin chains.
The appearance of the large spin phase in the absence of ferromagnetic coupling
is due to the frustration introduced by further neighboring couplings, and is
unique to the disordered chains.Comment: 11 pages, 7 figure
Percolation Transition in the random antiferromagnetic spin-1 chain
We give a physical description in terms of percolation theory of the phase
transition that occurs when the disorder increases in the random
antiferromagnetic spin-1 chain between a gapless phase with topological order
and a random singlet phase. We study the statistical properties of the
percolation clusters by numerical simulations, and we compute exact exponents
characterizing the transition by a real-space renormalization group
calculation.Comment: 9 pages, 4 encapsulated Postscript figures, REVTeX 3.
Flavor symmetry breaking effects on SU(3) Skyrmion
We study the massive SU(3) Skyrmion model to investigate the flavor symmetry
breaking (FSB) effects on the static properties of the strange baryons in the
framework of the rigid rotator quantization scheme combined with the improved
Dirac quantization one. Both the chiral symmetry breaking pion mass and FSB
kinetic terms are shown to improve the ratio of the strange-light to
light-light interaction strengths and that of the strange-strange to
light-light.Comment: 12 pages, latex, no figure
Hypernuclei as chiral solitons
The identification of flavored multiskyrmions with the ground states of known
hypernuclei is successful for several of them, e.g. for isodoublet H(Lambda) -
He(Lambda), A=4, isoscalars He(Lambda) (A=5) and Li(Lambda) (A=7). In other
cases agreement is not so good, but the behaviour of the binding energy with
increasing baryon number is in qualitative agreement with data. Charmed or
beauty hypernuclei within this approach are predicted to be bound stronger than
strange hypernuclei. This conclusion is stable against variation of poorly
known heavy flavor decay constants.Comment: 9 pages, 1 Fig. Presented at the International Workshops on Nuclear
and Particle Physics at 50-Gev PS, NP01 (KEK, Japan, December 2001) and NP02
(Kyoto, Japan, September 2002). Some additions and corrections of numerical
results are mad
A Simple Description of Strange Dibaryons in the Skyrme Model
We study strange dibaryons based on the SU(2)-embedded B=2 toroidal soliton.
Treating the excursions of the soliton into strange directions as small rigid
oscillations, we obtain a good approximation to the bound state approach. We
calculate the dibaryon mass formula to order 1/N and find that the doubly
strange I=J=0 dibaryon is bound by about 90 MeV.Comment: LaTeX format, 9 pages. No figure
Magnetic anomalies in the spin chain system, SrCuZnIrO
We report the results of ac and dc magnetization (M) and heat-capacity (C)
measurements on the solid solution, SrCuZnIrO. While the Zn
end member is known to form in a rhombohedral pseudo one-dimensional
KCdCl structure with an antiferromagnetic ordering temperature of
(T =) 19 K, the Cu end member has been reported to form in a monoclinically
distorted form with a Curie temperature of (T =) 19 K. The magnetism of the
Zn compound is found to be robust to synthetic conditions and is broadly
consistent with the behavior known in the literature. However, we find a lower
magnetic ordering temperature (T) for our Cu compound (~ 13 K), thereby
suggesting that T is sensitive to synthetic conditions. The Cu sample
appears to be in a spin-glass-like state at low temperatures, judged by a
frequency dependence of ac magnetic susceptibility and a broadening of the C
anomaly at the onset of magnetic ordering, in sharp contrast to earlier
proposals. Small applications of magnetic field, however, drive this system to
ferromagnetism as inferred from the M data. Small substitutions for Cu/Zn (x =
0.75 or 0.25) significantly depress magnetic ordering; in other words, T
varies non-monotonically with x (T ~ 6, 3 and 4 K for x = 0.25, 0.5, and
0.67 respectively). The plot of inverse susceptibility versus temperature is
non-linear in the paramagnetic state as if correlations within (or among) the
magnetic chains continuously vary with temperature. The results establishComment: 7 pages, 7 figures, Revte
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