Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD

Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of m[subscript π] ∼ 450  MeV in three spatial volumes using n[subscript f] = 2 + 1 flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be B[subscript d]...

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Main Authors: Orginos, Kostas, Parreno, Assumpta, Savage, Martin J., Beane, Silas R., Chang, Emmanuel, Detmold, William
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2015
Online Access:http://hdl.handle.net/1721.1/100558
https://orcid.org/0000-0002-0400-8363
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author Orginos, Kostas
Parreno, Assumpta
Savage, Martin J.
Beane, Silas R.
Chang, Emmanuel
Detmold, William
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Orginos, Kostas
Parreno, Assumpta
Savage, Martin J.
Beane, Silas R.
Chang, Emmanuel
Detmold, William
author_sort Orginos, Kostas
collection MIT
description Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of m[subscript π] ∼ 450  MeV in three spatial volumes using n[subscript f] = 2 + 1 flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be B[subscript d] = 14.4[+3.2 over -2.6]  MeV, while the dineutron is bound by B[subscript nn] = 12.5[+3.0 over -5.0]  MeV. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the [superscript 1]S[subscript 0] and [superscript 3]S[subscript 1] - [superscript 3]D[subscript 1] channels are found to be similar to those in nature, and indicate repulsive short-range components of the interactions, consistent with phenomenological nucleon-nucleon interactions. In both channels, the phase shifts are determined at three energies that lie within the radius of convergence of the expansion, allowing for constraints to be placed on the inverse scattering lengths and effective ranges. The extracted phase shifts allow for matching to nuclear effective field theories, from which low-energy counterterms are extracted and issues of convergence are investigated. As part of the analysis, a detailed investigation of the single hadron sector is performed, enabling a precise determination of the violation of the Gell-Mann–Okubo mass relation.
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spelling mit-1721.1/1005582022-10-03T08:39:55Z Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD Orginos, Kostas Parreno, Assumpta Savage, Martin J. Beane, Silas R. Chang, Emmanuel Detmold, William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Detmold, William Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of m[subscript π] ∼ 450  MeV in three spatial volumes using n[subscript f] = 2 + 1 flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be B[subscript d] = 14.4[+3.2 over -2.6]  MeV, while the dineutron is bound by B[subscript nn] = 12.5[+3.0 over -5.0]  MeV. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the [superscript 1]S[subscript 0] and [superscript 3]S[subscript 1] - [superscript 3]D[subscript 1] channels are found to be similar to those in nature, and indicate repulsive short-range components of the interactions, consistent with phenomenological nucleon-nucleon interactions. In both channels, the phase shifts are determined at three energies that lie within the radius of convergence of the expansion, allowing for constraints to be placed on the inverse scattering lengths and effective ranges. The extracted phase shifts allow for matching to nuclear effective field theories, from which low-energy counterterms are extracted and issues of convergence are investigated. As part of the analysis, a detailed investigation of the single hadron sector is performed, enabling a precise determination of the violation of the Gell-Mann–Okubo mass relation. United States. Dept. of Energy (as supported in part by U.S. Department of Energy Early Career Research Award DE-SC0010495) National Science Foundation (U.S.) (Grant NSF PHY11-25915) 2015-12-30T02:27:59Z 2015-12-30T02:27:59Z 2015-12 2015-10 2015-12-23T23:00:09Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/100558 Orginos, Kostas, Assumpta Parreno, Martin J. Savage, Silas R. Beane, Emmanuel Chang, and William Detmold. “Two Nucleon Systems At m[subscript π] ∼ 450  MeV from Lattice QCD.” Phys. Rev. D 92, no. 11 (December 23, 2015). © 2015 American Physical Society https://orcid.org/0000-0002-0400-8363 en http://dx.doi.org/10.1103/PhysRevD.92.114512 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. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Orginos, Kostas
Parreno, Assumpta
Savage, Martin J.
Beane, Silas R.
Chang, Emmanuel
Detmold, William
Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title_full Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title_fullStr Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title_full_unstemmed Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title_short Two nucleon systems at m[subscript π] ∼ 450  MeV from lattice QCD
title_sort two nucleon systems at m subscript π ∼ 450 mev from lattice qcd
url http://hdl.handle.net/1721.1/100558
https://orcid.org/0000-0002-0400-8363
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