Probing the Structure of Exotic and Conventional Hadrons

Project: Research project

Project Details

Description

Probing the Structure of Exotic and Conventional Hadrons Probing the Structure of Exotic and Conventional Hadrons Probing the Structure of Exotic and Conventional Hadrons The PI requests support for Arizona State University Physics graduate student Steven Martinez, to perform research leading to the receipt of his PhD. This is an AGEP-GRS 2nd-year renewal request for a student who is Hispanic and a U.S. citizen. The proposed work follows the items listed in the PIs funded proposal PHY-1803912 in Sec. 3, Proposed Research, Subsection C. Coupled Channels. Specifically, the research question is understanding how to develop a coupled-channel formalism that incorporates the effect of two-meson thresholds on the diquark-antidiquark states in the dynamical diquark model, which in turn has successfully been developed under the current funded proposal. The calculation of observables in this model completed thus far uses code (FORTRAN and Python) that numerically solves coupled Schrdinger equations and computes relevant mass eigenvalues and matrix elements. As of the time of this renewal request, this code has been generalized to incorporate the effects of two-meson thresholds. It uses a formalism originally developed in atomic physics called the diabatic approach [1], which generalizes the adiabatic approach inherent in the Born-Oppenheimer approximation used in the original dynamical diquark model. The diabatic approach has been applied in particle physics to the case of mixing meson-meson thresholds with conventional quarkonium [2]. In the initial stage of the work during the first year of AGEP-GRS support, the code was developed to calculate the content of physical exotic hadron states in terms of di-meson and diquark-antidiquark components, as well as shifts in physical mass eigenvalues. Furthermore, the code was applied only to hidden-charm tetraquark states such as X(3872). The next stage of work involves extracting transition matrix elements relevant to strong and radiative decays (as was performed in [3]), and applying the code to other flavor sectors, such as hidden-charm/hidden-strange and hidden-bottom states. An AGEP-GRS award will provide necessary financial support for Martinez to work full time on this research, which of course will speed its progress. This support will clearly broaden participation in Nuclear Theory for an under-represented population, not only for Martinez personally; but also, because he is one of the most active members in ASUs APS IDEA (Inclusion, Diversity, and Equity Alliance) Team, he will serve as a model and mentor to other students, both graduate and undergraduate. Probing the Structure of Exotic and Conventional Hadrons
StatusFinished
Effective start/end date9/1/188/31/22

Funding

  • National Science Foundation (NSF): $430,737.00

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