42 research outputs found
Triple collisions (e+p+Be7) in solar plasma
Several nuclear reactions involving the Be7 nucleus, not included into the
standard model of the pp-chain, are discussed. A qualitative analysis of their
possible influence on the fate of the Be7 in solar plasma and of their role in
the interpretation of the solar neutrino experiments is given. As an example,
the reaction rate of the nonradiative production of B8 in the triple collision
p + e^- + Be7 ---> B8 + e^- is estimated in the framework of the adiabatic
approximation. For the solar interior conditions the triple collision reaction
rate is approximately 10^{-4} of that for the binary process p + Be7 ---> B8 +
gamma .Comment: RevTeX, 15 pages, submitted to Nucl.Phys.
NR duals in M-theory
We extend the search for supergravity solution duals of non-relativistic
CFTs to supergravity. We consider the internal space to be an
bundle over a product base: and . For
purely M-theoretic , we find only magnetic fluxes preserving
two supersymmetries. is far richer admitting in addition to
magnetic fluxes, various non-trivial electric fluxes which break all
supersymmetry.Comment: 18 pages, Minor corrections and added reference
Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
We study various geometrical aspects of Schroedinger space-times with
dynamical exponent z>1 and compare them with the properties of AdS (z=1). The
Schroedinger metrics are singular for 1<z<2 while the usual Poincare
coordinates are incomplete for z \geq 2. For z=2 we obtain a global coordinate
system and we explain the relations among its geodesic completeness, the choice
of global time, and the harmonic trapping of non-relativistic CFTs. For z>2, we
show that the Schroedinger space-times admit no global timelike Killing
vectors.Comment: 15 pages, v2: some comments and references adde
Threshold scattering of the eta-meson off light nuclei
The scattering lengths of eta-meson collisions with light nuclei d,t,3He, and
4He are calculated on the basis of few-body equations in coherent
approximation. It is found that the eta-nucleus scattering length depends
strongly on the number of nucleons and the potential-range parameter. By taking
into account the off-shell behavior of the eta-N amplitude, the eta-4He
scattering length increases considerably.Comment: 8 pages, no figures, RevTeX, submitted to Phys.Lett.
P-matrix and J-matrix approaches. Coulomb asymptotics in the harmonic oscillator representation of scattering theory
The relation between the R- and P-matrix approaches and the harmonic
oscillator representation of the quantum scattering theory (J-matrix method) is
discussed. We construct a discrete analogue of the P-matrix that is shown to be
equivalent to the usual P-matrix in the quasiclassical limit. A definition of
the natural channel radius is introduced. As a result, it is shown to be
possible to use well-developed technique of R- and P-matrix theory for
calculation of resonant states characteristics, scattering phase shifts, etc.,
in the approaches based on harmonic oscillator expansions, e.g., in nuclear
shell-model calculations. P-matrix is used also for formulation of the method
of treating Coulomb asymptotics in the scattering theory in oscillator
representation.Comment: Revtex, 57 pages including 15 figures; to be published in Annals of
Physic
On the pion-nucleon coupling constant
In view of persisting misunderstanding about the determination of the
pion-nucleon coupling constants in the Nijmegen multienergy partial-wave
analyses of pp, np, and pbar-p scattering data, we present additional
information which may clarify several points of discussion. We comment on
several recent papers addressing the issue of the pion-nucleon coupling
constant and criticizing the Nijmegen analyses.Comment: 19 pages, Nijmegen preprint THEF-NYM-92-0
Coset Construction for Duals of Non-relativistic CFTs
We systematically analyze backgrounds that are holographic duals to
non-relativistic CFTs, by constructing them as cosets of the Schrodinger group
and variants thereof. These cosets G/H are generically non-reductive and we
discuss in generality how a metric on such spaces can be determined from a
non-degenerate H-invariant symmetric two-form. Applying this to the d=2
Schrodinger algebra, we reproduce the five-dimensional backgrounds proposed as
duals of fermions at unitarity, and under reasonable physical assumptions, we
demonstrate uniqueness of this background. The proposed gravity dual of the
Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into
this organizational scheme and uniqueness of this background can also be shown.Comment: 12 pages; v2: typos corrected, references adde
Non-relativistic CFT and Semi-classical Strings
We study different features of 3D non-relativistic CFT using gravity
description. As the corresponding gravity solution can be embedded into the
type IIB string theory, we study semi-classical closed/open strings in this
background. In particular we consider folded rotating and circular pulsating
closed strings where we find the anomalous dimension of the dual operators as a
function of their quantum numbers. We also consider moving open strings in this
background which can be used to compute the drag force. In particular we find
that for slowly moving particles, the energy is lost exponentially and the
characteristic time is given in terms of the temperature, while for fast moving
particles the energy loss goes as inverse of the time and the characteristic
time is independent of the temperature.Comment: 20 pages, Latex file; V2: typos corrected, ref. adde
Branes at Quantum Criticality
In this paper we propose new non-relativistic p+1 dimensional theory. This
theory is defined in such a way that the potential term obeys the principle of
detailed balance where the generating action corresponds to p-brane action.
This condition ensures that the norm of the vacuum wave functional of p+1
dimensional theory is equal to the partition function of p-brane theory.Comment: 17 pages, references added, typos fixed,v2. minor change
Finite Cut Approximation for the Form Factor
Assuming the length of the cut to be finite and approximating the
integrated amplitude by a constant, we derive an expression for the form factor which is very close to that given by a simple pole. The
specific predictions of the obtained form factor for the region of small
momentum transfer are discussed along the lines of the Goldberger-Treiman
relation.Comment: 17 pages, Late