Award Abstract # 2310036
Three-Body Amplitudes from Lattice QCD

NSF Org: PHY
Division Of Physics
Recipient: GEORGE WASHINGTON UNIVERSITY (THE)
Initial Amendment Date: June 23, 2023
Latest Amendment Date: June 23, 2023
Award Number: 2310036
Award Instrument: Standard Grant
Program Manager: Bogdan Mihaila
bmihaila@nsf.gov
 (703)292-8235
PHY
 Division Of Physics
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: August 1, 2023
End Date: July 31, 2026 (Estimated)
Total Intended Award Amount: $360,000.00
Total Awarded Amount to Date: $360,000.00
Funds Obligated to Date: FY 2023 = $360,000.00
History of Investigator:
  • Michael Doering (Principal Investigator)
    doring@gwu.edu
  • Maxim Mai (Co-Principal Investigator)
Recipient Sponsored Research Office: George Washington University
1918 F ST NW
WASHINGTON
DC  US  20052-0042
(202)994-0728
Sponsor Congressional District: 00
Primary Place of Performance: George Washington University
1918 F ST NW
WASHINGTON
DC  US  20052-0042
Primary Place of Performance
Congressional District:
00
Unique Entity Identifier (UEI): ECR5E2LU5BL6
Parent UEI:
NSF Program(s): NUCLEAR THEORY
Primary Program Source: 01002324DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7569
Program Element Code(s): 128500
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

Strong forces are responsible for the formation of known matter in the Universe, but the detailed mechanisms of how this happens remain a mystery. Strong forces bind nucleons (protons and neutrons) together in atomic nuclei, and the properties of the nucleons are studied at state-of-the-art accelerator facilities such as the Thomas Jefferson National Accelerator Facility. This project aims at closing the gap between experiment and theoretical calculations using lattice QCD. Due to current limitations of classical computers Lattice QCD calculations are performed in a small cubic volume instead of infinite space. This project provides the translation from the former to the latter, so that fundamental calculations of QCD can be compared to Nature. The PI and his students will focus on properties of systems involving three particles interacting with each other. To help develop a diverse, globally competitive STEM workforce, the outreach component is dedicated to developing material for computational aspects of quantum mechanics (QM) and animations of time-dependent QM problems.

Finite-volume effects for the case of three particles are poorly understood. In this project, the PI and his students will develop and apply three-body methods to map lattice QCD results to the physical world and to help answer fundamental questions regarding QCD predictions for the properties of excited mesons and baryons. For this, the principle of unitarity is efficiently used as the guiding principle to construct three- or more particle amplitudes. A conceptual upgrade of previous work concerns the introduction of more coupled channels and extensions to half-integer spin. Three-body dynamics is not only difficult on the theory but also on the phenomenology side. Therefore, three-body amplitudes in infinite volume will be developed and compared to experiment in a complementary effort, such as the Roper resonance and its multi-channel three-body dynamics, or the various decay channels of the A1(1260) axial meson. An extended analysis of new lattice QCD results from the GW group at two different pion masses is planned, that will allow to map out the chiral trajectory of the A1(1260) axial meson.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Please report errors in award information by writing to: awardsearch@nsf.gov.

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