Excited-State Effective Masses in Lattice QCD

Journal Article · Thu Oct 01 00:00:00 EDT 2009 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.80.074506· OSTI ID:979632

George Fleming, Saul Cohen, Huey-Wen Lin

We apply black-box methods, i.e. where the performance of the method does not depend upon initial guesses, to extract excited-state energies from Euclidean-time hadron correlation functions. In particular, we extend the widely used effective-mass method to incorporate multiple correlation functions and produce effective mass estimates for multiple excited states. In general, these excited-state effective masses will be determined by finding the roots of some polynomial. We demonstrate the method using sample lattice data to determine excited-state energies of the nucleon and compare the results to other energy-level finding techniques.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 979632
• Report Number(s): JLAB-THY-09-957; DOE/OR/23177-0653; PRVDAQ; TRN: US1003241
• Journal Information: Physical Review D, Vol. 80; ISSN 1550-7998
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
EFFECTIVE MASS
EXCITED STATES
HADRONS
NUCLEONS
PERFORMANCE
QUANTUM CHROMODYNAMICS