Engineering topics

Jackura, Andrew

Publications and source records attributed to Jackura, Andrew.

5 records

DOE OSTI2023

Three-pion effects in $K^0-\bar{K}^0$ mixing

The rate of mixing between a neutral kaon and an anti-kaon ($K^0$-$\bar{K}^0$) is given, in part, by a long-range matrix element, defined with two insertions of the weak Hamiltonian separated by physical, Minkowski time evolution. For physical quark masses, the kaon mass lies above the two- and three-pion thresholds and, as a result, this long-range matrix element receives contributions from intermediate on-shell $2\pi$ and $3\pi$ states. These contributions cannot easily be captured in a finite Euclidean spacetime, meaning that such matrix elements are not directly accessible via lattice QCD. In this talk, we present a strategy for combining quantities that can be extracted in numerical lattice QCD calculations in order to reproduce the physical, infinite-volume long-range amplitude for $K^0-\bar{K}^0$. The key novelty relative to published work is that we fully include the effects of three-particle states that were previously neglected. The strategy is built on existing formalism for long-range matrix elements with two-particle intermediate states, together with the relativistic-field-theory finite-volume formalism for extracting three-hadron weak decays.

Jackura, Andrew↗

DOE OSTI2019

Studies in multiparticle scattering theory

"Recent advances in theory and experiment have renewed efforts in the phenomenological understanding of scattering for hadronic systems. Calculations in lattice QCD have shown that resonances can be extracted from the finite volume spectrum. These observables require analytic models to continue the amplitude to the complex energy plane to determine the infinite volume hadron spectrum. The forefront of this research is determining scattering observables for three particles from the finite volume spectra. We present an analytic representation for the elastic three-body scattering amplitude, which can be effectively used in lattice QCD calculations of amplitudes. Aspects of its analytic properties are discussed, specifically the one-particle exchange effects and triangle singularities, which are possible explanations for the many observed exotic hadrons."

Jackura, Andrew↗

DOE OSTI2018

Studying the $P_c(4450)$ Resonance in $J/\psi $ Photoproduction Off Protons

Here, the LHCb has reported the observation of a resonancelike structure, the $P_c(4450)$, in the $J/\psi $ p invariant masses. In our work, we discuss the feasibility of detecting this structure in $J/\psi $ photoproduction, e.g. in the measurements that have been approved for the experiments in Hall A/C and in Hall B with CLAS12 at JLab. Also the GlueX Collaboration has already reported preliminary results. We take into account the experimental resolution effects, and perform a global fit to world J/psi photoproduction data in order to study the possibility of observing the $P_c(4450)$ signal in future JLab data. We present a first estimate of the upper limit for the branching ratio of the $P_c(4450)$ into the $J/\psi $ p channel, and we study the angular distributions of the differential cross sections. This will shed light on the nature and couplings of the $P_c(4450)$ structure in the future photoproduction experiments.

74 ATOMIC AND MOLECULAR PHYSICS↗

DOE OSTI2017

Finite-energy sum rules in eta photoproduction off a nucleon

The reaction ${\gamma}N \to {\eta}N$ is studied in the high-energy regime (with photon lab energies $E_{\gamma}^{\textrm{lab}} > 4$ GeV) using information from the resonance region through the use of finite-energy sum rules (FESR). We illustrate how analyticity allows one to map the t-dependence of the unknown Regge residue functions. As a result, we provide predictions for the energy dependence of the beam asymmetry at high energies.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

DOE OSTI2016

Amplitude analysis of resonant production in three pions

We present some results on the analysis of three pion resonances. The analyses are motivated by the recent release of the largest data set on diffractively produced three pions by the COMPASS collaboration. We construct reaction amplitudes that satisfy fundamental $S$-matrix principles, which allows the use of models that have physical constraints to be used in fitting data. The models are motivated by the isobar model that satisfy unitarity constraints. The model consist of a Deck production amplitude with which final state interactions are constrained by unitarity. We employ the isobar model where two of the pions form a quasi-stable particle. The analysis is performed in the high-energy, single Regge limit. We specifically discuss the examples of the three pion $J^{PC}=2^{-+}$ resonance in the $\rho\pi$ and $f_2\pi$ channels.

Jackura, Andrew↗