6,947 research outputs found
Electromagnetic proton-neutron knockout off 16O: new achievements in theory
Results for the cross sections of the exclusive 16O(e,e'pn)14N and
16O(gamma,pn)14N knockout reactions are presented and discussed in different
kinematics. In comparison with earlier work, a complete treatment of the
center-of-mass (CM) effects in the nuclear one-body current is considered in
connection with the problem of the lack of orthogonality between initial bound
and final scattering states. The effects due to CM and orthogonalization are
investigated in combination with different treatments of correlations in the
two-nucleon overlap function and for different parametrizations of the two-body
currents. The CM effects lead in super-parallel kinematics to a dramatic
increase of the 16O(e,e'pn) cross section to the 1_2^+ excited state (3.95 MeV)
of 14N. In all the situations considered the results are very sensitive to the
treatment of correlations. A crucial role is played by tensor correlations, but
also the contribution of long-range correlations is important.Comment: 13 pages, 10 figure
On the Definition of Gauge Field Operators in Lattice Gauge-Fixed Theories
We address the problem of defining the gauge four-potential on the lattice,
in terms of the natural link variables. Different regularized definitions are
shown, through non perturbative numerical computation, to converge towards the
same continuum renormalized limit.Comment: 8 pages, LaTeX2e/LaTeX209, 3 eps figure
Correlation functions at small quark masses with overlap fermions
We report on recent work on the determination of low-energy constants
describing Delta{S}=1 weak transitions, in order to investigate the origins of
the Delta{I}=1/2 rule. We focus on numerical techniques designed to enhance the
statistical signal in three-point correlation functions computed with overlap
fermions near the chiral limit.Comment: Talk presented at Lattice2004(weak), Fermilab, 21-26 June 2004, 3
pages, 2 figure
NN final-state interaction in two-nucleon knockout from
The influence of the mutual interaction between the two outgoing nucleons
(NN-FSI) in electro- and photoinduced two-nucleon knockout from has
been investigated perturbatively. It turns out that the effect of NN-FSI
depends on the kinematics and on the type of reaction considered. The effect is
generally larger in pp- than in pn-knockout and in electron induced than in
photoinduced reactions.
In superparallel kinematics NN-FSI leads in the channel to a
strong increase of the cross section, that is mainly due to a strong
enhancement of the -current contribution. In pn-emission, however, this
effect is partially cancelled by a destructive interference with the seagull
current. For photoreactions NN-FSI is considerably reduced in superparallel
kinematics and can be practically negligible in specific kinematics.Comment: 16 pages, 9 figure
Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
Background: Elastic scattering is probably the main event in the interactions
of nucleons with nuclei. Even if this process has been extensively studied in
the last years, a consistent description, i.e., starting from microscopic two-
and many-body forces connected by the same symmetries and principles, is still
under development. Purpose: In a previous paper we derived a theoretical
optical potential from NN chiral potentials at fourth order (N3LO). In the
present work we use NN chiral potentials at fifth order (N4LO), with the
purpose to check the convergence and to assess the theoretical errors
associated with the truncation of the chiral expansion in the construction of
an optical potential. Methods: The optical potential is derived as the
first-order term within the spectator expansion of the nonrelativistic multiple
scattering theory and adopting the impulse approximation and the optimum
factorization approximation. Results: The pp and np Wolfenstein amplitudes and
the cross section, analyzing power, and spin rotation of elastic proton
scattering from 16O, 12C, and 40Ca nuclei are presented at an incident proton
energy of 200 MeV. The results obtained with different versions of chiral
potentials at N4LO are compared. Conclusions: Our results indicate that
convergence has been reached at N4LO. The agreement with the experimental data
is comparable with the agreement obtained in our previous work. We confirm that
building an optical potential within chiral perturbation theory is a promising
approach for describing elastic proton-nucleus scattering.Comment: Physical Review C, in prin
Topological susceptibility in the SU(3) gauge theory
We compute the topological susceptibility for the SU(3) Yang--Mills theory by
employing the expression of the topological charge density operator suggested
by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3),
which corresponds to chi=(191 +/- 5 MeV)^4 if F_K is used to set the scale. Our
result supports the Witten--Veneziano explanation for the large mass of the
eta'.Comment: Final version to appear on Phys. Rev. Let
Polar Varieties and Efficient Real Elimination
Let be a smooth and compact real variety given by a reduced regular
sequence of polynomials . This paper is devoted to the
algorithmic problem of finding {\em efficiently} a representative point for
each connected component of . For this purpose we exhibit explicit
polynomial equations that describe the generic polar varieties of . This
leads to a procedure which solves our algorithmic problem in time that is
polynomial in the (extrinsic) description length of the input equations and in a suitably introduced, intrinsic geometric parameter, called
the {\em degree} of the real interpretation of the given equation system .Comment: 32 page
Polar Varieties, Real Equation Solving and Data-Structures: The hypersurface case
In this paper we apply for the first time a new method for multivariate
equation solving which was developed in \cite{gh1}, \cite{gh2}, \cite{gh3} for
complex root determination to the {\em real} case. Our main result concerns the
problem of finding at least one representative point for each connected
component of a real compact and smooth hypersurface. The basic algorithm of
\cite{gh1}, \cite{gh2}, \cite{gh3} yields a new method for symbolically solving
zero-dimensional polynomial equation systems over the complex numbers. One
feature of central importance of this algorithm is the use of a
problem--adapted data type represented by the data structures arithmetic
network and straight-line program (arithmetic circuit). The algorithm finds the
complex solutions of any affine zero-dimensional equation system in non-uniform
sequential time that is {\em polynomial} in the length of the input (given in
straight--line program representation) and an adequately defined {\em geometric
degree of the equation system}. Replacing the notion of geometric degree of the
given polynomial equation system by a suitably defined {\em real (or complex)
degree} of certain polar varieties associated to the input equation of the real
hypersurface under consideration, we are able to find for each connected
component of the hypersurface a representative point (this point will be given
in a suitable encoding). The input equation is supposed to be given by a
straight-line program and the (sequential time) complexity of the algorithm is
polynomial in the input length and the degree of the polar varieties mentioned
above.Comment: Late
Lattice quark masses: a non-perturbative measurement
We discuss the renormalization of different definitions of quark masses in
the Wilson and the tree-level improved SW-Clover fermionic action. For the
improved case we give the correct relationship between the quark mass and the
hopping parameter. Using perturbative and non-perturbative renormalization
constants, we extract quark masses in the \MSbar scheme from Lattice QCD in
the quenched approximation at , and for both
actions. We find: \bar{m}^{\MSbar}(2 GeV)=5.7 \pm 0.1 \pm 0.8 MeV,
m_s^{\MSbar}(2GeV)= 130 \pm 2 \pm 18 MeV and m_c^{\MSbar}(2 GeV) = 1662\pm
30\pm 230 MeV.Comment: 21 pages, 4 figures, typos corrected, no result change
Numerical techniques for lattice QCD in the --regime
In lattice QCD it is possible, in principle, to determine the parameters in
the effective chiral lagrangian (including weak interaction couplings) by
performing numerical simulations in the --regime, i.e. at quark
masses where the physical extent of the lattice is much smaller than the
Compton wave length of the pion. The use of a formulation of the lattice theory
that preserves chiral symmetry is attractive in this context, but the numerical
implementation of any such approach requires special care in this kinematical
situation due to the presence of some very low eigenvalues of the Dirac
operator. We discuss a set of techniques (low-mode preconditioning and
adapted-precision algorithms in particular) that make such computations
numerically safe and more efficient by a large factor.Comment: Plain TeX source, 32 pages, figures include
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