Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics
The nuclear matrix element determining the pp→de⁺ν fusion cross section and the Gamow-Teller matrix element contributing to tritium β decay are calculated with lattice quantum chromodynamics for the first time. Using a new implementation of the background field method, these quantities are calculate...
| Main Authors: | , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110935 https://orcid.org/0000-0002-1110-3633 https://orcid.org/0000-0002-0400-8363 |
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| author | Savage, Martin J. Tiburzi, Brian C. Wagman, Michael L. Winter, Frank Beane, Silas R. Chang, Emmanuel Orginos, Kostas NPLQCD Collaboration Shanahan, Phiala E Davoudi, Zohreh Detmold, William |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Savage, Martin J. Tiburzi, Brian C. Wagman, Michael L. Winter, Frank Beane, Silas R. Chang, Emmanuel Orginos, Kostas NPLQCD Collaboration Shanahan, Phiala E Davoudi, Zohreh Detmold, William |
| author_sort | Savage, Martin J. |
| collection | MIT |
| description | The nuclear matrix element determining the pp→de⁺ν fusion cross section and the Gamow-Teller matrix element contributing to tritium β decay are calculated with lattice quantum chromodynamics for the first time. Using a new implementation of the background field method, these quantities are calculated at the SU(3) flavor–symmetric value of the quark masses, corresponding to a pion mass of m[subscript π]∼806 MeV. The Gamow-Teller matrix element in tritium is found to be 0.979(03)(10) at these quark masses, which is within 2σ of the experimental value. Assuming that the short-distance correlated two-nucleon contributions to the matrix element (meson-exchange currents) depend only mildly on the quark masses, as seen for the analogous magnetic interactions, the calculated pp→de⁺ν transition matrix element leads to a fusion cross section at the physical quark masses that is consistent with its currently accepted value. Moreover, the leading two-nucleon axial counterterm of pionless effective field theory is determined to be L[subscript 1,A]=3.9(0.2)(1.0)(0.4)(0.9) fm³ at a renormalization scale set by the physical pion mass, also agreeing within the accepted phenomenological range. This work concretely demonstrates that weak transition amplitudes in few-nucleon systems can be studied directly from the fundamental quark and gluon degrees of freedom and opens the way for subsequent investigations of many important quantities in nuclear physics. |
| first_indexed | 2024-09-23T09:34:42Z |
| format | Article |
| id | mit-1721.1/110935 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:34:42Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1109352022-09-30T15:26:37Z Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics Savage, Martin J. Tiburzi, Brian C. Wagman, Michael L. Winter, Frank Beane, Silas R. Chang, Emmanuel Orginos, Kostas NPLQCD Collaboration Shanahan, Phiala E Davoudi, Zohreh Detmold, William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Shanahan, Phiala E Davoudi, Zohreh Detmold, William The nuclear matrix element determining the pp→de⁺ν fusion cross section and the Gamow-Teller matrix element contributing to tritium β decay are calculated with lattice quantum chromodynamics for the first time. Using a new implementation of the background field method, these quantities are calculated at the SU(3) flavor–symmetric value of the quark masses, corresponding to a pion mass of m[subscript π]∼806 MeV. The Gamow-Teller matrix element in tritium is found to be 0.979(03)(10) at these quark masses, which is within 2σ of the experimental value. Assuming that the short-distance correlated two-nucleon contributions to the matrix element (meson-exchange currents) depend only mildly on the quark masses, as seen for the analogous magnetic interactions, the calculated pp→de⁺ν transition matrix element leads to a fusion cross section at the physical quark masses that is consistent with its currently accepted value. Moreover, the leading two-nucleon axial counterterm of pionless effective field theory is determined to be L[subscript 1,A]=3.9(0.2)(1.0)(0.4)(0.9) fm³ at a renormalization scale set by the physical pion mass, also agreeing within the accepted phenomenological range. This work concretely demonstrates that weak transition amplitudes in few-nucleon systems can be studied directly from the fundamental quark and gluon degrees of freedom and opens the way for subsequent investigations of many important quantities in nuclear physics. National Science Foundation (U.S.) (PHY11-25915) 2017-08-14T13:55:31Z 2017-08-14T13:55:31Z 2017-08 2017-01 2017-08-10T22:00:02Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110935 Savage, Martin J. et al. "Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics." Physical Review Letters 119, 6: 062002 © 2017 American Physical Society https://orcid.org/0000-0002-1110-3633 https://orcid.org/0000-0002-0400-8363 en http://dx.doi.org/10.1103/PhysRevLett.119.062002 Physical Review Letters 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Savage, Martin J. Tiburzi, Brian C. Wagman, Michael L. Winter, Frank Beane, Silas R. Chang, Emmanuel Orginos, Kostas NPLQCD Collaboration Shanahan, Phiala E Davoudi, Zohreh Detmold, William Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title | Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title_full | Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title_fullStr | Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title_full_unstemmed | Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title_short | Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics |
| title_sort | proton proton fusion and tritium β decay from lattice quantum chromodynamics |
| url | http://hdl.handle.net/1721.1/110935 https://orcid.org/0000-0002-1110-3633 https://orcid.org/0000-0002-0400-8363 |
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