@article{patton_kneller_mclaughlin_2015, title={Stimulated neutrino transformation through turbulence on a changing density profile and application to supernovae}, volume={91}, ISSN={["1550-2368"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84937147972&partnerID=MN8TOARS}, DOI={10.1103/physrevd.91.025001}, abstractNote={We apply the model of stimulated neutrino transitions to neutrinos travelling through turbulence on a non constant density profile. We describe a method to predict the location of large amplitude transitions and demonstrate the effectiveness of this method by comparing to numerical calculations using a model supernova (SN) profile. The important wavelength scales of turbulence, both those that stimulate neutrino transformations and those that suppress them, are presented and discussed. We then examine the effects of changing the parameters of the turbulent spectrum, specifically the root-mean-square amplitude and cutoff wavelength, and show how the stimulated transitions model offers an explanation for the increase in both the amplitude and number of transitions with large amplitude turbulence, as well as a suppression or absence of transitions for long cutoff wavelengths. The method can also be used to predict the location of transitions between anti-neutrino states which, in the normal hierarchy we are using, will not undergo Mikheev-Smirnov-Wolfenstein transitions. Lastly, the stimulated neutrino transitions method is applied to a turbulent 2D supernova simulation and explains the minimal observed effect on neutrino oscillations in the simulation as being due to excessive long wavelength modes suppressing transitions and the absence of modes that fulfill themore » parametric resonance condition.« less}, number={2}, journal={PHYSICAL REVIEW D}, author={Patton, Kelly M. and Kneller, James P. and McLaughlin, Gail C.}, year={2015}, month={Jan} }
 @article{patton_kneller_mclaughlin_2014, title={Stimulated neutrino transformation through turbulence}, volume={89}, ISSN={["1550-2368"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84899723375&partnerID=MN8TOARS}, DOI={10.1103/physrevd.89.073022}, abstractNote={We derive an analytical solution for the flavor evolution of a neutrino through a turbulent density profile which is found to accurately predict the amplitude and transition wavelength of numerical solutions on a case-by-case basis. The evolution is seen to strongly depend upon those Fourier modes in the turbulence which are approximately the same as the splitting between neutrino eigenvalues. Transitions are strongly enhanced by those Fourier modes in the turbulence which are approximately the same as the splitting between neutrino eigenvalues. Lastly, we also find a suppression of transitions due to the long wavelength modes when the ratio of their amplitude and the wavenumber is of order, or greater than, the first root of the Bessel function J0.}, number={7}, journal={PHYSICAL REVIEW D}, author={Patton, Kelly M. and Kneller, James P. and McLaughlin, Gail C.}, year={2014}, month={Apr} }
 @article{kneller_mclaughlin_patton_2014, title={Turbulence and its effects upon neutrinos}, volume={1604}, ISSN={["0094-243X"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84903938255&partnerID=MN8TOARS}, DOI={10.1063/1.4883432}, abstractNote={As a neutrino passes through turbulent matter, large amplitude transitions between its eigenstates can occur. These transitions can be modeled as like those of an irradiated polarized atom and we investigate this connection both analytically and numerically. We find a simple theory that makes use of the Rotating Wave Approximation can make predictions for the amplitudes and wavelengths of the transitions that agree very well with those from the numerical solutions.}, journal={WORKSHOP ON DARK MATTER, NEUTRINO PHYSICS AND ASTROPHYSICS CETUP 2013: VIITH INTERNATIONAL CONFERENCE ON INTERCONNECTIONS BETWEEN PARTICLE PHYSICS AND COSMOLOGY PPC 2013}, author={Kneller, J. P. and McLaughlin, G. C. and Patton, K. M.}, year={2014}, pages={204–209} }
 @misc{patton_mclaughlin_scholberg_2013, title={PROSPECTS FOR USING COHERENT ELASTIC NEUTRINO-NUCLEUS SCATTERING TO MEASURE THE NUCLEAR NEUTRON FORM FACTOR}, volume={22}, ISSN={["1793-6608"]}, DOI={10.1142/s0218301313300130}, abstractNote={ We review the prospects of using coherent elastic neutrino-nucleus scattering (CENNS) to measure the nuclear neutron form factor. The merits and limitations of several potential neutrino sources are discussed. The effects of detector shape uncertainty and detector size on a measurement of the neutron RMS radius are also considered. We find that the detector spectral shape uncertainty is the important limiting factor on a measurement of the neutron RMS radius. In order to measure the neutron RMS radius to 5%, the spectral shape uncertainty of the detector needs to be known to 1% or better. }, number={6}, journal={INTERNATIONAL JOURNAL OF MODERN PHYSICS E}, author={Patton, Kelly M. and Mclaughlin, Gail C. and Scholberg, Kate}, year={2013}, month={Jun} }
 @article{kneller_mclaughlin_patton_2013, title={Stimulated neutrino transformation in supernovae}, volume={1560}, ISSN={["0094-243X"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84890049775&partnerID=MN8TOARS}, DOI={10.1063/1.4826746}, abstractNote={Large amplitude oscillations between neutrino states can be stimulated by sinusoidal external potentials with frequencies that are equal to the energy level splitting of the states or a fraction thereof: a phenomenon known as parametric resonance. Simple expressions for the amplitude and wavelength of the neutrino transitions both on and off resonance can be derived that reproduce the numerical results well. When applied to the supernova environment one finds that it is possible to predict where stimulated transitions occur when a sinusoidal perturbation is superposed upon an underlying profile indicating that stimulated transitions may be a useful way of understanding the effect of fluctuating density profiles such as turbulence.}, journal={11TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS (CIPANP 2012)}, author={Kneller, James P. and McLaughlin, Gail C. and Patton, Kelly M.}, year={2013}, pages={176–178} }
 @article{kneller_mclaughlin_patton_2013, title={Stimulated neutrino transformation with sinusoidal density profiles}, volume={40}, ISSN={["0954-3899"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84876921182&partnerID=MN8TOARS}, DOI={10.1088/0954-3899/40/5/055002}, abstractNote={Large amplitude oscillations between the states of a quantum system can be stimulated by sinusoidal external potentials with frequencies that are similar to the energy level splitting of the states or a fraction thereof. Situations where the applied frequency is equal to an integer fraction of the energy level splittings are known as parametric resonances. We investigate this effect for neutrinos both analytically and numerically for the case of arbitrary numbers of neutrino flavors. We look for environments where the effect may be observed and find that supernovae are the one realistic possibility due to the necessity of both large densities and large amplitude fluctuations. In conclusion, the comparison of numerical and analytical results of neutrino propagation through a model supernova reveals that it is possible to predict the locations and strengths of the stimulated transitions that occur.}, number={5}, journal={JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS}, author={Kneller, J. P. and McLaughlin, G. C. and Patton, K. M.}, year={2013}, month={May} }
 @article{patton_engel_mclaughlin_schunck_2012, title={Neutrino-nucleus coherent scattering as a probe of neutron density distributions}, volume={86}, ISSN={["1089-490X"]}, DOI={10.1103/physrevc.86.024612}, abstractNote={Neutrino-nucleus coherent elastic scattering provides a theoretically appealing way to measure the neutron part of nuclear form factors. Using an expansion of form factors into moments, we show that neutrinos from stopped pions can probe not only the second moment of the form factor (the neutron radius) but also the fourth moment. Using simple Monte Carlo techniques for argon, germanium, and xenon detectors of 3.5 tonnes, 1.5 tonnes, and 300 kg, respectively, we show that the neutron radii can be found with an uncertainty of a few percent when near a neutrino flux of $3\times10^{7}$ neutrinos/cm$^{2}$/s. If the normalization of the neutrino flux is known independently, one can determine the moments accurately enough to discriminate among the predictions of various nuclear energy functionals.}, number={2}, journal={PHYSICAL REVIEW C}, author={Patton, Kelly and Engel, Jonathan and McLaughlin, Gail C. and Schunck, Nicolas}, year={2012}, month={Aug} }