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W. C. Haxton

Publications and source records attributed to W. C. Haxton.

At least 73 records · Page 4Linked to original sources

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.

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Schiff Theorem and the Electric Dipole Moments of Hydrogen-Like Atoms

The Schiff theorem is revisited in this work and the residual $P$- and $T$-odd electron--nucleus interaction, after the shielding takes effect, is completely specified. An application is made to the electric dipole moments of hydrogen-like atoms, whose qualitative features and systematics have important implication for realistic paramagnetic atoms.

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Measurement of the response of a Ga solar neutrino experiment to neutrinos from an 37Ar source

An intense source of 37Ar was produced by the (n,alpha) reaction on 40Ca by irradiating 330 kg of calcium oxide in the fast neutron breeder reactor at Zarechny, Russia. The 37Ar was released from the solid target by dissolution in acid, collected from this solution, purified, sealed into a small source, and brought to the Baksan Neutrino Observatory where it was used to irradiate 13 tonnes of gallium metal in the Russian-American gallium solar neutrino experiment SAGE. Ten exposures of the gallium to the source, whose initial strength was 409 +/- 2 kCi, were carried out during the period April to September 2004. The 71Ge produced by the reaction 71Ga(nu_e,e^-)71Ge was extracted, purified, and counted. The measured production rate was 11.0 ^+1.0 _-0.9 (stat) +/- 0.6 (syst) atoms of 71Ge/d, which is 0.79 ^+0.09_-0.10 of the theoretically calculated production rate. When all neutrino source experiments with gallium are considered together, there is an indication the theoretical cross section has been overestimated.

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Solar Hydrogen Burning and Neutrinos

We summarize the current status of laboratory measurements of nuclear cross sections of the pp chain and CN cycle. We discuss the connections between such measurements, predictions of solar neutrino fluxes, and the conclusion that solar neutrinos oscillate before reaching earth.

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Supernova Neutrino-Nucleus Physics and the r-process

This talk reviews three inputs important to neutrino-induced nucleosynthesis in a supernova: 1) "standard" properties of the supernova neutrino flux, 2) effects of phenomena like neutrino oscillations on that flux, and 3) nuclear structure issues in estimating cross sections for neutrino-nucleus interactions. The resulting possibilities for neutrino-induced nucleosynthesis -- the neutrino-process -- in massive stars are discussed. This includes two relatively recent extensions of neutrino-process calculations to heavier nuclei, one focused on understanding the origin of 138La and 180Ta and the second on the effects following r-process freezeout. From calculations of the neutrino post-processing of the r-process distribution, limits can be placed on the neutrino fluence after freezeout and thus on the dynamic timescale for the expansion of the "hot bubble."

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Effective Interactions for the Three-Body Problem

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (triton and He3), where it is shown that the interaction reproduces the exact binding energy, regardless of the parameterization (number of oscillator quanta or value of the oscillator parameter b) of the low-energy included space. We demonstrate a non-perturbative technique for summing the excluded-space three-body ladder diagrams, but also show that accurate results can be obtained perturbatively by iterating the two-body ladders. We examine the evolution of the effective two-body and induced three-body terms as b and the size of the included space Lambda are varied, including the case of a single included shell, Lambda hw=0 hw. For typical ranges of b, the induced effective three-body interaction, essential for giving the exact three-body binding, is found to contribute ~10% to the binding energy.

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Reference Design Project Book: NUSEL-Homestake

This submission includes the overview, science timeline, reference design, WBS, and mine status sections of the Homestake collaboration's Reference Design Project Book. The Project Book describes the specific plan for converting the Homestake Gold Mine into a facility for physics, earth science, and engineering. The proposed developments on the 7400- and 4850-ft levels are presented, along with the plans for adapting Homestake's existing infrastructure for science. The plan differs substantially from the conceptual design for the National Underground Science and Engineering Laboratory proposed in June, 2001.

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Neutrino Nucleosynthesis

We study neutrino process nucleosynthesis in massive stars using newly calculated cross sections, an expanded reaction network, and complete and self-consistent models of the progenitor star. We reevaluate the production of light isotopes from abundant progenitors as well as that of rare, heavy, proton-rich isotopes. In particular, new results are given for B11, F19, La138, and Ta180. The production of these isotopes places limits on neutrino spectrum and oscialltions.

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Nuclear Problems in Astrophysics

These lectures, presented at the International School of Physics ``Enrico Fermi,'' deal with two major themes. The first is the remarkable story of the solar neutrino problem, which (along with the atmospheric neutrino anomaly) recently led to the discovery of massive neutrinos and neutrino oscillations, physics beyond the standard model. I will describe the physics of the standard solar model (SSM), the experimental program that was motivated by the discrepancies between SSM predictions and the initial observations of Raymond Davis, Jr., and his colleagues, and the recent results of SNO and SuperKamiokande. These first lectures end with a description of what we have learned about neutrino oscillations and the neutrino mass matrix, as well as the open questions (neutrino charge conjugation properties, the absolute mass scale, CP violation) that could ultimately impact our understanding of baryogenesis, the origin of large-scale structure, and other topics in cosmology and astrophysics. The second theme is the core-collapse supernova mechanism and associated nucleosynthesis. This problem connects neutrino physics, which controls much of the nuclear physics of the star, with the long-term chemical evolution of our galaxy. In particular, the $r$-process, which produces about half of the heavy elements, remains poorly understood, despite important new constraints from studies of metal-poor halo stars. The possible role of new neutrino properties on both the explosion mechanism and nucleosynthesis is noted.

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Perturbative Effective Theory in an Oscillator Basis?

The effective interaction/operator problem in nuclear physics is believed to be highly nonperturbative, requiring extended high-momentum spaces for accurate solution. We trace this to difficulties that arise at both short and long distances when the included space is defined in terms of a basis of harmonic oscillator Slater determinants. We show, in the simplest case of the deuteron, that both difficulties can be circumvented, yielding highly perturbative results in the potential even for modest (~6hw) included spaces.

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Nuclear Anapole Moments

Nuclear anapole moments are parity-odd, time-reversal-even E1 moments of the electromagnetic current operator. Although the existence of this moment was recognized theoretically soon after the discovery of parity nonconservation (PNC), its experimental isolation was achieved only recently, when a new level of precision was reached in a measurement of the hyperfine dependence of atomic PNC in 133Cs. An important anapole moment bound in 205Tl also exists. In this paper, we present the details of the first calculation of these anapole moments in the framework commonly used in other studies of hadronic PNC, a meson exchange potential that includes long-range pion exchange and enough degrees of freedom to describe the five independent $S-P$ amplitudes induced by short-range interactions. The resulting contributions of pi-, rho-, and omega-exchange to the single-nucleon anapole moment, to parity admixtures in the nuclear ground state, and to PNC exchange currents are evaluated, using configuration-mixed shell-model wave functions. The experimental anapole moment constraints on the PNC meson-nucleon coupling constants are derived and compared with those from other tests of the hadronic weak interaction. While the bounds obtained from the anapole moment results are consistent with the broad ``reasonable ranges'' defined by theory, they are not in good agreement with the constraints from the other experiments. We explore possible explanations for the discrepancy and comment on the potential importance of new experiments.

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Atomic Parity Nonconservation and Nuclear Anapole Moments

Anapole moments are parity-odd, time-reversal-even moments of the E1 projection of the electromagnetic current. Although it was recognized, soon after the discovery of parity violation in the weak interaction, that elementary particles and composite systems like nuclei must have anapole moments, it proved difficult to isolate this weak radiative correction. The first successful measurement, an extraction of the nuclear anapole moment of 133Cs from the hyperfine dependence of the atomic parity violation, was obtained only recently. An important anapole moment bound in Tl also exists. We discuss these measurements and their significance as tests of the hadronic weak interaction, focusing on the mechanisms that operate within the nucleus to generate the anapole moment. The atomic results place new constraints on weak meson-nucleon couplings, ones we compare to existing bounds from a variety of p-p and nuclear tests of parity nonconservation.

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The Canonical Nuclear Many-Body Problem as an Effective Theory

Recently it was argued that it might be possible treat the conventional nuclear structure problem -- nonrelativistic point nucleons interacting through a static and rather singular potential -- as an effective theory in a shell-model basis. In the first half of this talk we describe how such a program can be carried out for the simplest nuclei, the deuteron and 3He, exploiting a new numerical technique for solving the self-consistent Bloch-Horowitz equation. Some of the properties of proper effective theories are thus illustrated and contrasted with the shell model. In the second half of the talk we use these examples to return to a problem that frustrated the field three decades ago, the possibility of reducing the effective interactions problem to perturbation theory. We show, by exploiting the Talmi integral expansion, that hard-core potentials can be systematically softened by the introduction of a series of contact operators familiar from effective field theory. The coefficients of these operators can be run analytically by a renormalization group method in a scheme-independent way, with the introduction of suitable counterterms. Once these coefficients are run to the shell model scale, we show that the renormalized coefficients contain all of the information needed to evaluate perturbative insertions of the remaining soft potential. The resulting perturbative expansion is shown to converge in lowest order for the simplest nucleus, the deuteron.

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Anapole Moment and Other Constraints on the Strangeness Conserving Hadronic Weak Interaction

Standard analyses of low-energy NN and nuclear parity-violating observables have been based on a pi-, rho-, and omega-exchange model capable of describing all five independent s-p partial waves. Here a parallel analysis is performed for the one-body, exchange-current, and nuclear polarization contributions to the anapole moments of 133Cs and 205Tl. The resulting constraints are not consistent, though there remains some degree of uncertainty in the nuclear structure analysis of the atomic moments.

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Neutrino Effects in Nucleosynthesis

The nucleosynthesis within a Type II supernova occurs in an intense neutrino flux. I discuss some of the effects associated with neutrino interactions, including direct synthesis in the neutrino process, the role of neutrinos in controlling the r-process path and in postprocessing r-process products, and neutrino oscillation connections.

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Nuclear Physics Neutrino PreTown Meeting: Summary and Recommendations

In preparation for the nuclear physics Long Range Plan exercise, a group of 104 neutrino physicists met in Seattle September 21-23 to discuss both the present state of the field and the new opportunities of the next decade. This report summarizes the conclusions of that meeting and presents its recommendations. Further information is available at the workshop's web site. This report will be further reviewed at the upcoming Oakland Town Meeting.

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The Very Low Energy Solar Flux of Electron and Heavy-Flavor Neutrinos and Antineutrinos

We calculate the thermal flux of low-energy solar neutrinos and antineutrinos of all flavors arising from a variety of neutrino pair processes: Compton production (including plasmon-pole diagrams), neutral current decay of thermally populated nuclear states, plasmon decay, and electron transitions from free to atomic bound states. The resulting flux density per flavor is significant (10E8-10E9/cm2/sec/MeV) below about 5 keV, and the distributions fill much of the valley between the high-energy edge of the cosmic background neutrino spectrum and the low energy tails of the pp-chain electron neutrino and terrestrial electron antineutrino spectra. Thermal neutrinos carry information on the solar core temperature distribution and on heavy flavor masses in the range of 1 keV. The detection of these neutrinos is a daunting but interesting challenge.

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The INT at Age Ten

The history of the Department of Energy's Institute for Nuclear Theory, located on the campus of the University of Washington, is reviewed on the occasion of the INT's tenth anniversary.

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