836 research outputs found
Neutron matter with a model interaction
An infinite system of neutrons interacting by a model pair potential is
considered. We investigate a case when this potential is sufficiently strong
attractive, so that its scattering length tends to infinity. It appeared, that
if the structure of the potential is simple enough, including no finite
parameters, reliable evidences can be presented that such a system is
completely unstable at any finite density. The incompressibility as a function
of the density is negative, reaching zero value when the density tends to zero.
If the potential contains a sufficiently strong repulsive core then the system
possesses an equilibrium density. The main features of a theory describing such
systems are considered.Comment: 8 pages, LaTeX. In press, Eur. Phys. J.
Universal sextic effective interaction at criticality
The renormalization group approach in three dimensions is used to estimate
the universal critical value g_6^* of the dimensionless sextic effective
coupling constant for the Ising model. The four-loop RG expansion for g_6 is
calculated and resummed by means of the Pade-Borel and Pade-Borel-Leroy
procedures resulting in g_6^* = 1.596, while the most accurate estimate for
g_6^* is argued to be equal to 1.61.Comment: 6 pages, TeX, no figure
On the motifs distribution in random hierarchical networks
The distribution of motifs in random hierarchical networks defined by
nonsymmetric random block--hierarchical adjacency matrices, is constructed for
the first time. According to the classification of U. Alon et al of network
superfamilies by their motifs distributions, our artificial directed random
hierarchical networks falls into the superfamily of natural networks to which
the class of neuron networks belongs. This is the first example of ``handmade''
networks with the motifs distribution as in a special class of natural networks
of essential biological importance.Comment: 7 pages, 5 figure
Preparation of facilities for fundamental research with ultracold neutrons at PNPI
The WWR-M reactor of PNPI offers a unique opportunity to prepare a source for
ultracold neutrons (UCN) in an environment of high neutron flux (about 3*10^12
n/cm^2/s) at still acceptable radiation heat release (about 4*10^-3 W/g). It
can be realized within the reactor thermal column situated close to the reactor
core. With its large diameter of 1 m, this channel allows to install a 15 cm
thick bismuth shielding, a graphite premoderator (300 dm^3 at 20 K), and a
superfluid helium converter (35 dm^3). At a temperature of 1.2 K it is possible
to remove the heat release power of about 20 W. Using the 4pi flux of cold
neutrons within the reactor column can bring more than a factor 100 of cold
neutron flux incident on the superfluid helium with respect to the present cold
neutron beam conditions at the ILL reactor. The storage lifetime for UCN in
superfluid He at 1.2 K is about 30 s, which is sufficient when feeding
experiments requiring a similar filling time. The calculated density of UCN
with energy between 50 neV and 250 neV in an experimental volume of 40 liters
is about 10^4 n/cm^3. Technical solutions for realization of the project are
discussed.Comment: 10 pages, more detail
Free boson formulation of boundary states in W_3 minimal models and the critical Potts model
We develop a Coulomb gas formalism for boundary conformal field theory having
a symmetry and illustrate its operation using the three state Potts model.
We find that there are free-field representations for six conserving
boundary states, which yield the fixed and mixed physical boundary conditions,
and two violating boundary states which yield the free and new boundary
conditions. Other violating boundary states can be constructed but they
decouple from the rest of the theory. Thus we have a complete free-field
realization of the known boundary states of the three state Potts model. We
then use the formalism to calculate boundary correlation functions in various
cases. We find that the conformal blocks arising when the two point function of
is calculated in the presence of free and new boundary conditions
are indeed the last two solutions of the sixth order differential equation
generated by the singular vector.Comment: 25 page
Partial wave analysiss of pbar-p -> piminus-piplus, pizero-pizero, eta-eta and eta-etaprime
A partial wave analysis is presented of Crystal Barrel data on pbar-p ->
pizero-pizero, eta-eta and eta-etaprime from 600 to 1940 MeV/c, combined with
earlier data on d\sigma /d\Omega and P for pbar-p->piminus-piplus. The
following s-channel I=0 resonances are identified: (i) J^{PC} = 5^{--} with
mass and width (M,\Gamma) at (2295+-30,235^{+65}_{-40}) MeV, (ii) J^{PC} =
4^{++} at (2020+-12, 170+-15) MeV and (2300+-25, 270+-50) MeV, (iii) 3D3 JPC =
3^{--} at (1960+-15, 150+-25) MeV and (2210+-4$, 360+-55) MeV, and a 3G3 state
at (2300 ^{+50}_{-80}, 340+-150) MeV, (iv) JPC = 2^{++} at (1910+-30, 260+-40)
MeV, (2020+-30, 275+-35) MeV, (2230+-30, 245+-45) MeV, and (2300+-35, 290+-50)
MeV, (v) JPC = 1^{--} at (2005+-40, 275+-75) MeV, and (2165+-40, 160
^{+140}_{-70}) MeV, and (vi) JPC = 0^{++} at (2005+-30, 305+-50) MeV,
(2105+-15, 200+-25) MeV, and (2320+-30, 175+-45) MeV. In addition, there is a
less well defined 6^{++} resonance at 2485+-40 MeV, with Gamma = 410+-90 MeV.
For every JP, almost all these resonances lie on well defined linear
trajectories of mass squared v. excitation number. The slope is 1.10+-0.03
Gev^2 per excitation. The f_0(2105) has strong coupling to eta-\eta, but much
weaker coupling to pizero-pizero. Its flavour mixing angle between q-qbar and
s-sbar is (59-71.6)deg, i.e. dominant decays to s-sbar. Such decays and its
strong production in pbar-p interactions strongly suggest exotic character.Comment: Makes available the combined fit to Crystal Barrel data on pbar-p ->
2-body final states. 29 pages, 11 figures. Typo corrected in version
The color gauge invariance and a possible origin of a mass gap in QCD
The general scale parameter, having the dimensions of mass squared, is
dynamically generated in the QCD gluon sector. It is introduced through the
difference between the regularized full gluon self-energy and its value at some
finite point. It violates transversality of the full gluon self-energy. The
Slavnov-Taylor identity for the full gluon propagator, when it is given by the
corresponding equation of motion, is also violated by it. So in order to
maintain both transversality and the identity it should be disregarded from the
very beginning, i.e., put formally zero everywhere. However, we have shown how
to preserve the above-mentioned identity at non-zero mass squared parameter.
This allows one to establish the structure of the full gluon propagator when it
is explicitly present. Its contribution does not survive in the perturbation
theory regime when the gluon momentum goes to infinity. At the same time, its
contribution dominates the structure of the full gluon propagator when the
gluon momentum goes to zero. We have also proposed a method how to restore
transversality of the relevant gluon propagator in a gauge invariant way, while
keeping the mass squared parameter "alive".Comment: 20 pages, 1 figure, no tables, some final additional material is
added minor correction introduced and references rearrange
Palaeoproterozoic magnesite: lithological and isotopic evidence for playa/sabkha environments
Magnesite forms a series of 1- to 15-m-thick beds within the approximate to2.0 Ga (Palaeoproterozoic) Tulomozerskaya Formation, NW Fennoscandian Shield, Russia. Drillcore material together with natural exposures reveal that the 680-m-thick formation is composed of a stromatolite-dolomite-'red bed' sequence formed in a complex combination of shallow-marine and non-marine, evaporitic environments. Dolomite-collapse breccia, stromatolitic and micritic dolostones and sparry allochemical dolostones are the principal rocks hosting the magnesite beds. All dolomite lithologies are marked by delta C-13 values from +7.1 parts per thousand to +11.6 parts per thousand (V-PDB) and delta O-18 ranging from 17.4 parts per thousand to 26.3 parts per thousand (V-SMOW). Magnesite occurs in different forms: finely laminated micritic; stromatolitic magnesite; and structureless micritic, crystalline and coarsely crystalline magnesite. All varieties exhibit anomalously high delta C-13 values ranging from +9.0 parts per thousand to +11.6 parts per thousand and delta O-18 values of 20.0-25.7 parts per thousand. Laminated and structureless micritic magnesite forms as a secondary phase replacing dolomite during early diagenesis, and replaced dolomite before the major phase of burial. Crystalline and coarsely crystalline magnesite replacing micritic magnesite formed late in the diagenetic/metamorphic history. Magnesite apparently precipitated from sea water-derived brine, diluted by meteoric fluids. Magnesitization was accomplished under evaporitic conditions (sabkha to playa lake environment) proposed to be similar to the Coorong or Lake Walyungup coastal playa magnesite. Magnesite and host dolostones formed in evaporative and partly restricted environments; consequently, extremely high delta C-13 values reflect a combined contribution from both global and local carbon reservoirs. A C- 13-rich global carbon reservoir (delta C-13 at around +5 parts per thousand) is related to the perturbation of the carbon cycle at 2.0 Ga, whereas the local enhancement in C-13 (up to +12 parts per thousand) is associated with evaporative and restricted environments with high bioproductivity
On the role of longitudinal momenta in high energy hadron-hadron scattering
We demonstrate a new method for the calculation of inelastic scattering
cross-section, which in contrary to the Regge-based methods takes into account
the energy momentum conservation law. By virtue of this method it was shown
that the main contribution to integral expressing inelastic scattering
cross-sections comes not from the multi-Regge domain. In particular this leads
to the fact that accounting of longitudinal momenta contribution to
virtualities is sufficient and results in the new mechanism of cross-section
growth. The necessity of taking into account the large number of interference
contributions is shown and the approximate method for this purpose is
developed. By considering the interference contributions from a single fitting
constant achieved a qualitative agreement of the total and inelastic cross
sections with experimental data.Comment: 38 pages, 19 figures (A misspelled author's name corrected
Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering
We compute the chromo-field distributions of static color-dipoles in the
fundamental and adjoint representation of SU(Nc) in the loop-loop correlation
model and find Casimir scaling in agreement with recent lattice results. Our
model combines perturbative gluon exchange with the non-perturbative stochastic
vacuum model which leads to confinement of the color-charges in the dipole via
a string of color-fields. We compute the energy stored in the confining string
and use low-energy theorems to show consistency with the static quark-antiquark
potential. We generalize Meggiolaro's analytic continuation from parton-parton
to gauge-invariant dipole-dipole scattering and obtain a Euclidean approach to
high-energy scattering that allows us in principle to calculate S-matrix
elements directly in lattice simulations of QCD. We apply this approach and
compute the S-matrix element for high-energy dipole-dipole scattering with the
presented Euclidean loop-loop correlation model. The result confirms the
analytic continuation of the gluon field strength correlator used in all
earlier applications of the stochastic vacuum model to high-energy scattering.Comment: 65 pages, 13 figures, extended and revised version to be published in
Phys. Rev. D (results unchanged, 2 new figures, 1 new table, additional
discussions in Sec.2.3 and Sec.5, new appendix on the non-Abelian Stokes
theorem, old Appendix A -> Sec.3, several references added
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