Simulation Studies Toward the Search for Neutron Antineutron Oscillation

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Simulation Studies Toward the Search for Neutron Antineutron Oscillation By Joshua Barrow jbarrow3@vols.utk.edu For the Institute for Nuclear Theory Workshop on Neutron Oscillations: Appearance, Disappearance, and Baryogenesis October 23 rd, 2017 This research is funded by Department of Energy-High Energy Physics Grant DE-SC0014558

Experimental Overview Part One October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 2

Phenomenology of n n Can search for such oscillations in both free beam and bound nuclei experiments Free Oscillation: P free n t exp = n ~ t exp τ n n The bound oscillation can be thought of as a free oscillation in a bag-type model Here, the experimental time is of the order of 10 23 s rather than ~1 10 years From this, we find that: P A n t exp = n Γ = 1 τ A = P free n t exp 10 23 s = n 10 23 s τ n n where 2 2 2 τ A Rτ n n R~ 1 10 23 s ~1022 s 1 Similarly, we can use the nuclear potential well s interaction difference between n and n to assess the same phenomena: 16 8O τ A = ΔV n vs. n 2 2 τ ħ n n = Rτ n n It has been shown that R O ~5 10 22 s 1 from an estimated 10 15% uncertainty calculation by Friedman and Gal Precisely, we find that this can be thought of as a nucleon decay-like experiment: P A n t exp = n = e t exp τ A October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 3

Excellence of LArTPCs See MicroBooNE An example charged current ν event in MicroBooNE REAL DATA! p π μ MicroBooNE Public Note 1025 Proton reconstruction is an important step for DUNE in nucleon decay searches SK will soon add gadolinium to their WCD to tag neutrons! Neutron Detection in LAr??? October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 4

Atmospheric ν Backgrounds Impede n n Event Identification In Large Underground Experiments Previous searches for n n suffered greatly from this! Super-Kamiokande: 24 candidate events Expected sig. eff: bkgrcount = 12%: 24. 1 DUNE? CNN: sig. eff: bkgrcount = 14%: 3 Fully oscillated sample! Important ν τ interactions Truth: sig. eff: bkgrcount = 27%: 0 Unoscillated sample! DON T BELIEVE! Theorists and computational physicists are working tirelessly to improve the accuracy of ν generators This is a requirement for understanding ν oscillation parameters precisely and atmospheric background properly GENIE is one of many used today GIBUU and NuWRO are supposedly getting great comparative results from MicroBooNE with their novel techniques Plan to run events on these platforms for separability comparison in the future Barrow Hewes & Karageorgi October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 5 Adapted from Y. Kamyshkov Free neutron beam search goal at European Spallation Source Expected 400 kt yr goal for DUNE with irreducible bkgr? The bottom line Atm. ν bkgr. increases faster than mass Must counter this with more precise detectors Must understand underlying nuclear models Test many simulations against one another for a full understanding of bkgr. topologies

DUNE (SK Bkgd) DUNE (CNN Bkgd, Oscillated ν Sample) ESS (0 Bkgd) DUNE (0 Bkgd, Unoscillated ν Sample) DUNE (0 Bkgd) Theoretically Important Probability Parameter Space of τ n n A probability distribution from PSB can be seen as a function of predicted free oscillation time Red line shows horizontal beamline oscillation time ESS, 3 yr, ~500X ILL Blue shows DUNE 10 years, ~13,500X ILL Assumes 100% efficiency! Assumes no background! Babu, Dev, Fortes, and Mohapatra-DOI: 10.1103/PhysRevD.87.115019 Super-Kamiokande October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 6

Simulation Analysis Basic Overview with Some Simple Comparisons Part Two October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 7

DUNE and ESS Truth-Level Monte Carlo Analysis is Near Completion Can looking purely at the kinematics give good results? Have studied MC generators for n n in 6 18 12 C, with incident slow ( p 0 GeV ), free (beam), transformed n + cascade from annihilation Original generator developed over 15+ years by Elena Golubeva of INR Moscow c Joint publication with full simulation discussion, along with with V&V forthcoming 40 Ar, with internal (bound) transformation + annihilation cascade Original generator developed for GENIE over last ~2 years by Jeremy Hewes of DUNE for PhD work Dissertation forthcoming Hewes and Karageorgi s analysis revolves around CNN s rather than truth level discrimination between signal and background Future generator being developed by E. Golubeva for 18 40 Ar Will use same cascade models Will work to study neutrino FSI as well for complete comparison Study multiple generators with different assumptions to assess uncertainty in the models Heavily dependent upon nuclear models October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 8

n n Generator Assumption Comparison DUNE 40 18 Ar GENIE Fermi Gas Model Bodek-Ritchie Distribution No correlations included ~10 annihilation channels modeled Uses continuous analytical nuclear density function How accurate for large nuclei? Probability of annihilation as a function of radius not modeled Uses only density function ESS 12 6 C E. Golubeva Fermi Gas Model Personally Developed No correlations included ~100 annihilation channels modeled Uses approximated ( stepped ) discontinuous analytical nuclear density function Accurate for small nucleus Uses zones of constant nuclear density Probability of annihilation by radius known analytically October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 9

Nuclear Density Functions and the Radial n-annihilation Probability Density GENIE ESS 12 6 C E. Golubeva Annihilation probability??? October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 10

Initial Meson Production in nn Annihilation DUNE 40 18 Ar GENIE ESS 12 6 C E. Golubeva October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 11

Final Exiting π ±,0 After Nuclear Transport DUNE 40 18 Ar GENIE ESS 12 6 C E. Golubeva October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 12

Annihilating Nucleon Momentum Due to Fermi Motion DUNE 40 18 Ar GENIE ESS 12 6 C E. Golubeva Bodek-Ritchie Fermi Gas Distributions Interior Nucleon Momentum (GeV/c) (due to Fermi motion) Interior Nucleon Momentum (GeV/c) (due to Fermi motion) October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 13

More Results From 12 6 C MC Generator for ESS Annihilation Radius by Zone Annihilating Nucleon Momentum by Zone Interior Nucleon Momentum (GeV/c) (due to Fermi motion) October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 14

Potential Inaccuracies in Current Simulations and a few Proposed Directions for Future Progress Part Three October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 15

What to add to future generators for 40 18 Ar? Resonances (ρ, η, etc.) Infrequent reaction channels Must be kinematically allowed can change from nucleus to nucleus Precise radial density functions Generally well known for light nuclei, but how well heavy? Precise annihilation probability functions Matters in bound searches greatly, as the transformation is more likely to occur near or outside the nuclear envelope Completed analytically for n on 12 6 C, but how to model this for n on 40 18 Ar? Can no longer model n as a plane wave!! Two-body nucleon correlation functions n n N is an inherently two-body system, unlike most ν interactions What are the real, quantum mechanical nucleon momentum distributions for each annihilating nucleon in 40 18 Ar? Two body momentum distributions needed? October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 16

An Interesting Forthcoming Investigation: Nucleon Correlations There are QM problems with the assumptions made when throwing momenta for annihilating nucleons in 18 40 Ar By making a choice from a distribution of all nucleons, we have changed the remaining distribution Furthermore, it has been found that nucleons are choosey about their neighbors Neutrons spend more time around protons in the nucleus These pairs can have inextricably linked momenta Changes the weights of expected annihilation reactions JLAB data on LAr coming early next year? Can we simply use a two body momentum distribution instead of looking at individual nucleons? Neutrons Protons October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 17 Interior Nucleon Momentum (GeV/c) What do we use as the next distribution?

Use Inherently Two-Body Momentum Distributions? JLAB Proposal for Two-Body Correlations in 40 18 Ar October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 18

End Goals and To Do s Top priorities are Comparisons between multiple generators for uncertainty assessments For n n For atmospheric ν Improving generators Add more physics to understand the precise nature of the topologies of na annihilation Analysis of generated events will continue Partial and full detector simulations with reconstruction Proton and neutron detections in LAr Background rejection must be maximized Free or quasi-free? Better separation techniques? Assess final feasibility of τ n n limit improvements Optimize experimental components (ESS) Go and find the oscillation! October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 19

For the extra eager BACKUP SLIDES October 18th, 2017 For the UTK Physics HEP/Astro Seminar 20

Signal Comparison n n vs. Backgrounds (ex: Atmospheric Neutrino, ν) n n Annihilation and Knockouts π π π Noncontinuous energy spectrum Generally a ~spherical topology Low momentum due only to Fermi motion π Neutral Current Atmospheric ν π Continuous energy spectrum Generally a ~correlated topology Large range of total momentum π pion star π - Antineutron Neutron - Proton - Pion October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 2 1

Free Neutron Beam Search at the European Spallation Source Europe s answer to the SNS at ORNL Hopes to best Institute Laue-Langevin result with Longer beamline Higher neutron reflectivity and more neutrons on target Thinner carbon foil General improvements in detector technology Benefits from ~guaranteed zero background! Beam pulse timing ν s aren t seen by foil ILL saw sig = 0 for one bkgr 0 year October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 2 2

Bound Neutron Search at the Deep Underground Neutrino Experiment DUNE international collaboration of 1000+ Partnership of Fermilab and LBNF Will construct world s most intense ν beam The far detector will utilize LArTPCs Fiducial volume of ~40 kilotons LArTPC s superior tracking and PID capabilities enable background reduction Is background-free/quasi-free n n search possible? The real question we need to answer!!! October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 2 3

Why do we need to be accurate in our n n simulations? 1. For rare events, knowing precisely the expected topology and associated observables will always help Accurate nuclear models are needed to understand the cascade of particles produced within the nucleus Possibly aid in the separability between signal and background processes 2. Ability to compare simulations and assess their systematic uncertainties within them independently Should be precise and quantitative This is why we need multiple types from multiple sources Wish to reliably understand whether the systematic uncertainties within these models lead to statistically irreducible background Looking for consistency of results between simulations Did we get the physics right??? 3. We learn more about interesting, underlying physics 4. Predict and analyze generated signals for hosts of other BSM processes October 23 rd, 2017 For the 2017 INT Workshop on Neutron Oscillations 24