577 research outputs found
Composite Fermions and the First-Landau-Level Fine Structure of the Fractional Quantum Hall Effect
A set of scalar operators are employed to generate explicit representations
of both hierarchy states (e.g., the series of fillings 1/3, 2/5, 3/7, ... ) and
their conjugates (fillings 1, 2/3, 3/5, ...) as non-interacting quasi-electrons
filling fine-structure sub-shells within the FLL. This yields, for planar and
spherical geometries, a quasi-electron representation of the incompressible FLL
state of filling p/(2p +1) in a magnetic field of strength B that is
algebraically identical to the IQHE state of filling p in a magnetic field of
strength B/(2p+1). The construction provides a precise definition of the
quasi-electron/composite fermion that differs in some respects from common
descriptions: they are eigenstates of L,Lz; they and the FLL subshells they
occupy carry a third index I that is associated with breaking of scalar pairs;
they absorb in their internal wave functions one, not two, units of magnetic
flux; and they share a common, simple structure as vector products of a spinor
creating an electron and one creating magnetic flux. We argue that these
properties are a consequence of the breaking of the degeneracy of
noninteracting electrons within the FLL by the scale-invariant Coulomb
potential. We discuss the sense in which the wave function construction
supports basic ideas of both composite fermion and hierarchical descriptions of
the FQHE. We describe symmetries of the quasi-electrons at half filling, where
a deep Fermi sea of quasi-electrons forms, and the quasi-electrons take on
Majorana and pseudo-Dirac characters. Finally, we show that the wave functions
can be viewed as fermionic excitations of the bosonic half-filled shell,
producing at half filling an operator that differs from but plays the same role
as the Pfaffian.Comment: 28 pages, 7 figures; includes discussion of the relation of the wave
functions to composite fermion and hierarchical constructions; symmetries at
the half filled shell including connections to Majorana and pseudo-Dirac
basis states; representations of the wave functions as antisymmetric
operators acting on the symmetric half-filled shell; and operator analogs of
the Pfaffia
The Nuclear Physics of Solar and Supernova Neutrino Detection
This talk provides a basic introduction for students interested in the
responses of detectors to solar, supernova, and other low-energy neutrino
sources. Some of the nuclear physics is then applied in a discussion of
nucleosynthesis within a Type II supernova, including the r-process and the
neutrino process.Comment: School lecture, "New Era in Neutrino Physics, Tokyo Metropolitan
University; 30 pages; 6 figures; late
Neutrino Oscillations and the Solar Neutrino Problem
I describe the current status of the solar neutrino problem, summarizing the
arguments that its resolution will require new particle physics. The phenomenon
of matter-enhanced neutrino oscillations is reviewed. I consider the
implications of current experiments -- including the SuperKamiokande
atmospheric and LSND measurements -- and the need for additional constraints
from SNO and other new detectors.Comment: Reference corrected in this replacemen
Neutrino Astrophysics
A review of neutrino astrophysics is presented, including solar and
atmospheric neutrinos; neutrino mass and oscillations; the supernova mechanism,
supernova neutrino production, and associated nucleosynthesis; cosmological
neutrinos and Big Bang nucleosynthesis; neutrino cooling and associated limits
on neutrino properties; and high-energy astrophysical neutrinos.Comment: 42 pages, 15 figures; to appear in Wiley's Encyclopedia of Nuclear
Physics. arXiv admin note: substantial text overlap with arXiv:0808.073
CN Neutrinos and the Sun's Primordial Core Metalicity
I discuss the use of neutrinos from the CN cycle and pp chain to constrain
the primordial solar core abundances of C and N at an interesting level of
precision. A comparison of the Sun's deep interior and surface compositions
would test a key assumption of the standard solar model (SSM), a homogeneous
zero-age Sun. It would also provide a cross-check on recent photospheric
abundance determinations that have altered the once excellent agreement between
the SSM and helioseismology. Motivated by the discrepancy between
convective-zone abundances and helioseismology, I discuss the possibility that
a two-zone Sun could emerge from late-stage metal differentiation in the solar
nebula connected with formation of the gaseous giant planets.Comment: 11 pages, 3 figures; talk presented at the Carolina International
Symposium on Neutrino Physics; based on Haxton and Serenelli,
arXiv:0805.2013; typos fixed in this replacemen
Harmonic-Oscillator-Based Effective Theory
I describe harmonic-oscillator-based effective theory (HOBET) and explore the
extent to which the effects of excluded higher-energy oscillator shells can be
represented by a contact-gradient expansion in next-to-next-to-leading order
(NNLO). I find the expansion can be very successful provided the energy
dependence of the effective interaction, connected with missing long-wavelength
physics associated with low-energy breakup channels, is taken into account. I
discuss a modification that removes operator mixing from HOBET, simplifying the
task of determining the parameters of an NNLO interaction.Comment: 15 pages, 5 figures; from 3rd ANL/MSU/INT/JINA RIA Worksho
Solar Neutrinos: Models, Observations, and New Opportunities
I discuss the development and resolution of the solar neutrino problem, as
well as opportunities now open to us to extend our knowledge of main-sequence
stellar evolution and neutrino astrophysics.Comment: 11 pages, 8 figures; talk presented at "Nuclear Astrophysics
1957:2007: Beyond the First 50 Years," Caltech, July, 2007. To appear in the
Publications of the Astronomical Society of Australi
Edward Teller and Nuclei: Along the Trail to the Neutrino
I discuss two of Edward Teller's contributions to nuclear physics, the
introduction of the Gamow-Teller operator in beta decay and the formulation of
the Goldhaber-Teller model for electric dipole transitions, in the context of
efforts to understand the weak interaction and the nature of the neutrino.Comment: Talk presented at the Edward Teller Centennial Symposium; 16 pages, 5
figure
Three Puzzles from Nuclear Astrophysics
I discuss three open problems in astrophysics where nuclear physics can make
important contributions: the solar abundance problem, dark matter particle
detection, and the origin of the r-process elements.Comment: 11 pages, 6 figures; talk presented at HITES 201
Theoretical Issues in Neutrino Physics
I review a number of the open questions about neutrino properties, critique
recent hints of neutrino mass, and discuss one recently proposed neutrino mass
matrix to illustrate the direction in which we may be headed. I also present
one example of the implications of these new developments for astrophysics.Comment: Baryons '98 talk; 15 pages, 3 figures; latex Replacement contains
updated reference
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