Controlling excited-state contributions with distillation in lattice QCD calculations of nucleon isovector charges $g_S^{u-d}$ , $g_A^{u-d}$ , $g_T^{u-d}$

Journal Article · Tue Feb 19 00:00:00 EST 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.99.034506· OSTI ID:1495062

Egerer, Colin; Richards, David; Winter, Frank

Here, we investigate the application of the distillation smearing approach, and the use of the variational method with an extended basis of operators facilitated by this approach, on the calculation of the nucleon isovector charges $$g_S^{u-d}$$, $$g_A^{u-d}$$, and $$g_T^{u-d}$$. We find that the better sampling of the lattice enabled through the use of distillation yields a substantial reduction in the statistical uncertainty in comparison with the use of alternative smearing methods, and furthermore, appears to offer better control over the contribution of excited-states compared to use of a single, local interpolating operator. The additional benefit arising through the use of the variational method in the distillation approach is less dramatic, but nevertheless significant given that it requires no additional Dirac inversions.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC05-06OR23177; FG02-04ER41302; SC0014664
• OSTI ID: 1495062
• Alternate ID(s): OSTI ID: 1496580
• Report Number(s): JLAB-THY-18-2857; DOE/OR/23177-4572; arXiv:1810.09991; PRVDAQ; 034506
• Journal Information: Physical Review D, Journal Name: Physical Review D Vol. 99 Journal Issue: 3; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS