175 research outputs found
The Pion Model
We revisit the problem of a mechanism that generates the mass spectrum of
elementary particles. This has vexed physicists for several decades now. In
this connection we deduce a formula that gives the masses of all known
elementary particles, even though other quantum numbers are suppressed. These
considerations become important in view of the LHC which is expected to attain
14 TeV by 2013.Comment: 10 pages late
Model-independent determination of the parity of hyperons
Based on reflection symmetry in the reaction plane, it is shown that
measuring the transverse spin-transfer coefficient in the reaction directly determines the parity of the produced cascade
hyperon in a model-independent way as , where
is the parity. This result based on Bohr's theorem provides a completely
general, universal relationship that applies to the entire hyperon spectrum. A
similar expression is obtained for the photoreaction by
measuring both the double-polarization observable and the photon-beam
asymmetry . Regarding the feasibility of such experiments, it is
pointed out that the self-analyzing property of the 's can be invoked,
thus requiring only a polarized nucleon target.Comment: 4 pages, REVTeX, to be published in Phys. Rev.
Two-neutron halo nuclei in one dimension: dineutron correlation and breakup reaction
We propose a simple schematic model for two-neutron halo nuclei. In this
model, the two valence neutrons move in a one-dimensional mean field,
interacting with each other via a density-dependent contact interaction. We
first investigate the ground state properties, and demonstrate that the
dineutron correlation can be realized with this simple model due to the
admixture of even- and odd-parity single-particle states. We then solve the
time-dependent two-particle Schr\"odinger equation under the influence of a
time-dependent one-body external field, in order to discuss the effect of
dineutron correlation on nuclear breakup processes. The time evolution of
two-particle density shows that the dineutron correlation enhances the total
breakup probability, especially for the two-neutron breakup process, in which
both the valence neutrons are promoted to continuum scattering states. We find
that the interaction between the two particles definitely favours a spatial
correlation of the two outgoing particles, which are mainly emitted in the same
direction.Comment: 17 pages, 11 figure
Soft-core meson-baryon interactions. I. One-hadron-exchange potentials
The Nijmegen soft-core model for the pseudoscalar-meson baryon interaction is
derived, analogous to the Nijmegen NN and YN models. The interaction
Hamiltonians are defined and the resulting amplitudes for one-meson-exchange
and one-baryon-exchange in momentum space are given for the general mass case.
The partial wave projection is carried through and explicit expressions for the
momentum space partial wave meson-baryon potentials are presented.Comment: 25 pages, 2 PostScript figures, revtex4, submitted to Phys. Rev.
One loop corrections to quantum hadrodynamics with vector mesons
The renormalized elastic scattering amplitude to one loop is
calculated in the chiral limit in the model and in a Quantum
Hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III
reduces to the linear model in the limit that the vector meson masses
become large. The pion decay constant is also calculated to 1-loop in the
model, and at tree level in QHD-III; it is shown that the coefficient
of the tree level term in the scattering amplitude equals . The
1-loop correction of in QHD-III violates strong isospin current
conservation. Thus,it is concluded that QHD-III can, at best, only describe the
strongly interacting nuclear sector.Comment: 6 page
Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
We study an infinite range ferromagnetic Ising model in the presence of a
transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic
phase transition at a critical value of the transverse field. In the
thermodynamic limit, the low-temperature properties of this model are dominated
by the behavior of a single large classical spin governed by an anisotropic
Hamiltonian. Using this property, we study the quench and AC dynamics of the
model both numerically and analytically, and develop a correspondence between
the classical phase space dynamics of a single spin and the quantum dynamics of
the infinite-range ferromagnetic Ising model. In particular, we compare the
behavior of the equal-time order parameter correlation function both near to
and away from the quantum critical point in the presence of a quench or AC
transverse field. We explicitly demonstrate that a clear signature of the
quantum critical point can be obtained by studying the AC dynamics of the
system even in the classical limit. We discuss possible realizations of our
model in experimental systems.Comment: Revtex4, 10 pages including 10 figures; corrected a sign error in Eq.
32; this is the final published versio
Reformulating the Schrodinger equation as a Shabat-Zakharov system
We reformulate the second-order Schrodinger equation as a set of two coupled
first order differential equations, a so-called "Shabat-Zakharov system",
(sometimes called a "Zakharov-Shabat" system). There is considerable
flexibility in this approach, and we emphasise the utility of introducing an
"auxiliary condition" or "gauge condition" that is used to cut down the degrees
of freedom. Using this formalism, we derive the explicit (but formal) general
solution to the Schrodinger equation. The general solution depends on three
arbitrarily chosen functions, and a path-ordered exponential matrix. If one
considers path ordering to be an "elementary" process, then this represents
complete quadrature, albeit formal, of the second-order linear ODE.Comment: 18 pages, plain LaTe
Loop Quantum Gravity Modification of the Compton Effect
Modified dispersion relations(MDRs) as a manifestation of Lorentz invariance
violation, have been appeared in alternative approaches to quantum gravity
problem. Loop quantum gravity is one of these approaches which evidently
requires modification of dispersion relations. These MDRs will affect the usual
formulation of the Compton effect. The purpose of this paper is to incorporate
the effects of loop quantum gravity MDRs on the formulation of Compton
scattering. Using limitations imposed on MDRs parameters from Ultra High Energy
Cosmic Rays(UHECR), we estimate the quantum gravity-induced wavelength shift of
scattered photons in a typical Compton process. Possible experimental detection
of this wavelength shift will provide strong support for underlying quantum
gravity proposal.Comment: 12 pages, 2 eps figures, revised versio
Precise method for the determination of the neutron electric form factor based on a relativistic analysis of the process $d(e,e'n)p
We generalize the recoil polarization method for the determination of the
proton form factor to the case of the disintegration of vector polarized
deuterons by longitudinally polarized electrons, . We
suggest to measure for this reaction, in the kinematics of quasi-elastic
-scattering, the ratio of the asymmetries induced by the
- and -components of the deuteron vector polarization. In the framework
of the relativistic impulse approximation the ratio is sensitive to
in a wide interval of momentum transfer squared, whereas it depends
weakly on the details of the -interaction and on the choice of the deuteron
wave function. Moreover, in the range 1.5 GeV, the ratio
shows a smooth dependence on , making the analysis simpler.Comment: 7 pages, 4 figs, 1 tabl
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