Ab initio calculation of the $np \to d ³$ radiative capture process

Beane, Silas R.; Chang, Emmanuel; Detmold, William; Orginos, Kostas; Parreño, Assumpta; Savage, Martin J.; Tiburzi, Brian C.

doi:10.1103/PhysRevLett.115.132001

Title: Ab initio calculation of the $$np \to d ³$$ radiative capture process

Journal Article · 23 September 2015 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.115.132001 · OSTI ID:1221536

Beane, Silas R. ^[1]; Chang, Emmanuel ^[1]; Detmold, William ^[2]; Orginos, Kostas ^[3]; Parreño, Assumpta ^[4]; Savage, Martin J. ^[1]; Tiburzi, Brian C. ^[5]

Univ. of Washington, Seattle, WA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Barcelona, Barcelona (Spain)
The City College of New York, New York, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

In this study, lattice QCD calculations of two-nucleon systems are used to isolate the short-distance two-body electromagnetic contributions to the radiative capture process $$np \to d\gamma$$, and the photo-disintegration processes $$\gamma^{(\ast)} d \to np$$. In nuclear potential models, such contributions are described by phenomenological meson-exchange currents, while in the present work, they are determined directly from the quark and gluon interactions of QCD. Calculations of neutron-proton energy levels in multiple background magnetic fields are performed at two values of the quark masses, corresponding to pion masses of $$m_\pi \sim 450$$ and 806 MeV, and are combined with pionless nuclear effective field theory to determine these low-energy inelastic processes. Extrapolating to the physical pion mass, a cross section of $$\sigma^{lqcd}(np\to d\gamma)=332.4({\tiny \begin{array}{l}+5.4 \\ - 4.7\end{array}})\ mb$$ is obtained at an incident neutron speed of $$v=2,200\ m/s$$, consistent with the experimental value of $$\sigma^{expt}(np \to d\gamma) = 334.2(0.5)\ mb$$.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: DOE Office of Science; USDOE

Contributing Organization:: NPLQCD Collaboration

Grant/Contract Number:: AC02-05CH11231; FG02-04ER41302; FG02-00ER41132; AC05-00OR22725; SC0010495; AC05-06OR23177

OSTI ID:: 1221536

Alternate ID(s):: OSTI ID: 1224626

Report Number(s):: JLAB-THY--15-2045; DOE/OR/23177--3346; arXiv:1505.02422

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 115; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

Near threshold proton–proton fusion in effective field theory Chen, Jiunn-Wei; Liu, C. -P.; Yu, Shen-Hsi Physics Letters B, Vol. 720, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.02.019	journal	March 2013
Magnetic polarizability of hadrons from lattice QCD in the background field method Lee, Frank X.; Zhou, Leming; Wilcox, Walter Physical Review D, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevD.73.034503	journal	February 2006
Lattice Quantum-Chromodynamics Calculation of Some Baryon Magnetic Moments Bernard, Claude; Draper, Terrence; Olynyk, Kirk Physical Review Letters, Vol. 49, Issue 15 https://doi.org/10.1103/PhysRevLett.49.1076	journal	October 1982
Improved continuum limit lattice action for QCD with wilson fermions Sheikholeslami, B.; Wohlert, R. Nuclear Physics B, Vol. 259, Issue 4 https://doi.org/10.1016/0550-3213(85)90002-1	journal	September 1985
Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry Beane, S. R.; Chang, E.; Cohen, S. D. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034506	journal	February 2013
Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order Butler, Malcolm; Chen, Jiunn-Wei; Kong, Xinwei Physical Review C, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevC.63.035501	journal	February 2001
Magnetic polarizabilities of light mesons in SU ( 3 ) lattice gauge theory Luschevskaya, E. V.; Solovjeva, O. E.; Kochetkov, O. A. Nuclear Physics B, Vol. 898 https://doi.org/10.1016/j.nuclphysb.2015.07.023	journal	September 2015
Solar fusion cross sections. II. The p p chain and CNO cycles Adelberger, E. G.; García, A.; Robertson, R. G. Hamish Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.195	journal	April 2011
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Nuclear correlation functions in lattice QCD Detmold, William; Orginos, Kostas Physical Review D, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevD.87.114512	journal	June 2013
Rearranging pionless effective field theory Beane, Silas R.; Savage, Martin J. Nuclear Physics A, Vol. 694, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)01088-0	journal	November 2001
Constraints on two-body axial currents from reactor antineutrino–deuteron breakup reactions Butler, Malcolm; Chen, Jiunn-Wei; Vogel, Petr Physics Letters B, Vol. 549, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02868-X	journal	November 2002
Elastic and inelastic neutrino–deuteron scattering in effective field theory Butler, Malcolm; Chen, Jiunn-Wei Nuclear Physics A, Vol. 675, Issue 3-4 https://doi.org/10.1016/S0375-9474(99)00682-X	journal	August 2000
Proton-proton fusion in effective field theory Kong, Xinwei; Ravndal, Finn Physical Review C, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevC.64.044002	journal	August 2001
Extracting electric polarizabilities from lattice QCD Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.094505	journal	May 2009
Magnetic properties of the nucleon in a uniform background field Primer, Thomas; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevD.89.034508	journal	February 2014
Electromagnetic and spin polarizabilities in lattice QCD Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 73, Issue 11 https://doi.org/10.1103/PhysRevD.73.114505	journal	June 2006
Nuclear σ terms and scalar-isoscalar WIMP-nucleus interactions from lattice QCD Beane, S. R.; Cohen, S. D.; Detmold, W. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074505	journal	April 2014
Effective Field Theory for Lattice Nuclei Barnea, N.; Contessi, L.; Gazit, D. Physical Review Letters, Vol. 114, Issue 5 https://doi.org/10.1103/PhysRevLett.114.052501	journal	February 2015
Photodisintegration of deuterium and big bang nucleosynthesis Hara, K. Y.; Utsunomiya, H.; Goko, S. Physical Review D, Vol. 68, Issue 7 https://doi.org/10.1103/PhysRevD.68.072001	journal	October 2003
The proton and neutron magnetic moments in lattice QCD Martinelli, G.; Parisi, G.; Petronzio, R. Physics Letters B, Vol. 116, Issue 6 https://doi.org/10.1016/0370-2693(82)90162-9	journal	October 1982
The spin-flavor dependence of nuclear forces from large-N QCD Kaplan, David B.; Savage, Martin J. Physics Letters B, Vol. 365, Issue 1-4 https://doi.org/10.1016/0370-2693(95)01277-X	journal	January 1996
Meson exchange effects in n + p → d + γ Riska, D. O.; Brown, G. E. Physics Letters B, Vol. 38, Issue 4 https://doi.org/10.1016/0370-2693(72)90376-0	journal	February 1972
The proton-thermal neutron capture cross section Cox, A. E.; Wynchank, S. A. R.; Collie, C. H. Nuclear Physics, Vol. 74, Issue 3 https://doi.org/10.1016/0029-5582(65)90197-5	journal	December 1965
The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron Bethe, H. A.; Longmire, Conrad Physical Review, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRev.77.647	journal	March 1950
On-shell improved lattice gauge theories Lüscher, M.; Weisz, P. Communications in Mathematical Physics, Vol. 97, Issue 1-2 https://doi.org/10.1007/BF01206178	journal	March 1985
Measurement of the p(n,γ)d reaction cross section between En = 100 and 350 keV Tomyo, A.; Nagai, Y.; Suzuki, T. S. Nuclear Physics A, Vol. 718 https://doi.org/10.1016/S0375-9474(03)00814-5	journal	May 2003
Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry Beane, S. R.; Chang, E.; Cohen, S. D. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024003	journal	August 2013
H 2 ( γ , n ) absolute cross section at 2754 keV Moreh, R.; Kennett, T. J.; Prestwich, W. V. Physical Review C, Vol. 39, Issue 4 https://doi.org/10.1103/PhysRevC.39.1247	journal	April 1989
Effective field theory of short-range forces van Kolck, U. Nuclear Physics A, Vol. 645, Issue 2 https://doi.org/10.1016/S0375-9474(98)00612-5	journal	January 1999
Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevD.81.054502	journal	March 2010
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005
Nucleon-nucleon effective field theory without pions Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J. Nuclear Physics A, Vol. 653, Issue 4 https://doi.org/10.1016/S0375-9474(99)00298-5	journal	July 1999
Proton–proton fusion in lattice effective field theory Rupak, Gautam; Ravi, Pranaam Physics Letters B, Vol. 741 https://doi.org/10.1016/j.physletb.2014.12.055	journal	February 2015
Meson exchange currents in deuteron electro-disintegration Hockert, J.; Riska, D. O.; Gari, M. Nuclear Physics A, Vol. 217, Issue 1 https://doi.org/10.1016/0375-9474(73)90621-0	journal	December 1973
Lattice calculation of the magnetic moments of Δ and Ω − baryons with dynamical clover fermions Aubin, C.; Orginos, K.; Pascalutsa, V. Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.051502	journal	March 2009
First measurement of the near-threshold 2 H ( γ → , n ) p analyzing power using a free-electron laser based γ -ray source Schreiber, E. C.; Canon, R. S.; Crowley, B. T. Physical Review C, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevC.61.061604	journal	May 2000
First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass Lin, Huey-Wen; Cohen, Saul D.; Dudek, Jozef Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034502	journal	February 2009
Proton-Proton Weak Capture in Chiral Effective Field Theory Marcucci, L. E.; Schiavilla, R.; Viviani, M. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.192503	journal	May 2013
The interaction effect in n-p capture Pierre Noyes, H. Nuclear Physics, Vol. 74, Issue 3 https://doi.org/10.1016/0029-5582(65)90198-7	journal	December 1965
The theory of parity violation in few-nucleon systems Schindler, M. R.; Springer, R. P. Progress in Particle and Nuclear Physics, Vol. 72 https://doi.org/10.1016/j.ppnp.2013.05.002	journal	September 2013
A property of electric and magnetic flux in non-Abelian gauge theories 't Hooft, G. Nuclear Physics B, Vol. 153 https://doi.org/10.1016/0550-3213(79)90595-9	journal	January 1979
Electroweak matrix elements in the two-nucleon sector from lattice QCD Detmold, William; Savage, Martin J. Nuclear Physics A, Vol. 743, Issue 1-3 https://doi.org/10.1016/j.nuclphysa.2004.07.007	journal	October 2004
Isoscalar M1 and E2 amplitudes in np→dγ Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J. Physics Letters B, Vol. 464, Issue 1-2 https://doi.org/10.1016/S0370-2693(99)01007-2	journal	October 1999
More effective field theory for non-relativistic scattering Kaplan, David B. Nuclear Physics B, Vol. 494, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00178-8	journal	June 1997
Proton–proton fusion in effective field theory to fifth order Butler, Malcolm; Chen, Jiunn-Wei Physics Letters B, Vol. 520, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)01152-2	journal	November 2001
Study of quark mass dependence of binding energy for light nuclei in 2 + 1 flavor lattice QCD Yamazaki, Takeshi; Ishikawa, Ken-ichi; Kuramashi, Yoshinobu Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.014501	journal	July 2015
Proton–proton fusion in pionless effective theory Ando, S.; Shin, J. W.; Hyun, C. H. Physics Letters B, Vol. 668, Issue 3 https://doi.org/10.1016/j.physletb.2008.08.040	journal	October 2008
Perturbative calculation of the electromagnetic form factors of the deuteron Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physical Review C, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevC.59.617	journal	February 1999
Deuteron and exotic two-body bound states from lattice QCD Beane, S. R.; Chang, E.; Detmold, W. Physical Review D, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevD.85.054511	journal	March 2012
Radiative neutron capture on a proton at big-bang nucleosynthesis energies Ando, S.; Cyburt, R. H.; Hong, S. W. Physical Review C, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevC.74.025809	journal	August 2006
Helium nuclei, deuteron, and dineutron in 2 + 1 flavor lattice QCD Yamazaki, Takeshi; Ishikawa, Ken-ichi; Kuramashi, Yoshinobu Physical Review D, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevD.86.074514	journal	October 2012
Precision calculation of cross section for big-bang nucleosynthesis Rupak, Gautam Nuclear Physics A, Vol. 678, Issue 4 https://doi.org/10.1016/S0375-9474(00)00323-7	journal	October 2000
Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics Beane, S. R.; Chang, E.; Cohen, S. Physical Review Letters, Vol. 113, Issue 25 https://doi.org/10.1103/PhysRevLett.113.252001	journal	December 2014
Measurement of 1 H ( n , γ ) 2 H reaction cross section at a comparable M 1 / E 1 strength Nagai, Y.; Suzuki, T. S.; Kikuchi, T. Physical Review C, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevC.56.3173	journal	December 1997
Baryon magnetic moments in the background field method Lee, F. X.; Kelly, R.; Zhou, L. Physics Letters B, Vol. 627, Issue 1-4 https://doi.org/10.1016/j.physletb.2005.08.106	journal	October 2005
Low-energy photodisintegration of the deuteron and Big-Bang nucleosynthesis Tornow, W.; Czakon, N. G.; Howell, C. R. Physics Letters B, Vol. 574, Issue 1-2 https://doi.org/10.1016/j.physletb.2003.08.078	journal	November 2003

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