Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD
We present a lattice QCD calculation of the Δ(1232) matrix elements of the axial-vector and pseudoscalar currents. The decomposition of these matrix elements into the appropriate Lorentz invariant form factors is carried out, and the techniques to calculate the form factors are developed and tested...
| Main Authors: | , , , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2013
|
| Online Access: | http://hdl.handle.net/1721.1/80794 https://orcid.org/0000-0002-5713-0039 |
| _version_ | 1826193306494697472 |
|---|---|
| author | Alexandrou, Constantia Gregory, Eric B. Korzec, Tomasz Koutsou, Giannis Negele, John W. Sato, Toru Tsapalis, Antonios |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Alexandrou, Constantia Gregory, Eric B. Korzec, Tomasz Koutsou, Giannis Negele, John W. Sato, Toru Tsapalis, Antonios |
| author_sort | Alexandrou, Constantia |
| collection | MIT |
| description | We present a lattice QCD calculation of the Δ(1232) matrix elements of the axial-vector and pseudoscalar currents. The decomposition of these matrix elements into the appropriate Lorentz invariant form factors is carried out, and the techniques to calculate the form factors are developed and tested using quenched configurations. Results are obtained for 2+1 domain wall fermions and within a hybrid scheme with domain wall valence and staggered sea quarks. Two Goldberger-Treiman–type relations connecting the axial to the pseudoscalar effective couplings are derived. These and further relations based on the pion-pole dominance hypothesis are examined using the lattice QCD results, finding support for their validity. Using lattice QCD results on the axial charges of the nucleon and the Δ, as well as the nucleon-to-Δ transition coupling constant, we perform a combined chiral fit to all three quantities and study their pion mass dependence as the chiral limit is approached. |
| first_indexed | 2024-09-23T09:36:54Z |
| format | Article |
| id | mit-1721.1/80794 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:36:54Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/807942022-09-26T12:38:56Z Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD Alexandrou, Constantia Gregory, Eric B. Korzec, Tomasz Koutsou, Giannis Negele, John W. Sato, Toru Tsapalis, Antonios Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Negele, John W. We present a lattice QCD calculation of the Δ(1232) matrix elements of the axial-vector and pseudoscalar currents. The decomposition of these matrix elements into the appropriate Lorentz invariant form factors is carried out, and the techniques to calculate the form factors are developed and tested using quenched configurations. Results are obtained for 2+1 domain wall fermions and within a hybrid scheme with domain wall valence and staggered sea quarks. Two Goldberger-Treiman–type relations connecting the axial to the pseudoscalar effective couplings are derived. These and further relations based on the pion-pole dominance hypothesis are examined using the lattice QCD results, finding support for their validity. Using lattice QCD results on the axial charges of the nucleon and the Δ, as well as the nucleon-to-Δ transition coupling constant, we perform a combined chiral fit to all three quantities and study their pion mass dependence as the chiral limit is approached. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-94ER40818) 2013-09-18T15:22:13Z 2013-09-18T15:22:13Z 2013-06 2013-04 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/80794 Alexandrou, Constantia, Eric B. Gregory, Tomasz Korzec, Giannis Koutsou, John W. Negele, Toru Sato, and Antonios Tsapalis. “Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD.” Physical Review D 87, no. 11 (June 2013). © 2013 American Physical Society https://orcid.org/0000-0002-5713-0039 en_US http://dx.doi.org/10.1103/PhysRevD.87.114513 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Alexandrou, Constantia Gregory, Eric B. Korzec, Tomasz Koutsou, Giannis Negele, John W. Sato, Toru Tsapalis, Antonios Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title | Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title_full | Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title_fullStr | Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title_full_unstemmed | Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title_short | Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD |
| title_sort | determination of the δ 1232 axial and pseudoscalar form factors from lattice qcd |
| url | http://hdl.handle.net/1721.1/80794 https://orcid.org/0000-0002-5713-0039 |
| work_keys_str_mv | AT alexandrouconstantia determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT gregoryericb determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT korzectomasz determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT koutsougiannis determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT negelejohnw determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT satotoru determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd AT tsapalisantonios determinationofthed1232axialandpseudoscalarformfactorsfromlatticeqcd |