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

doi:10.1103/PhysRevLett.115.132001

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

Abstract

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 $$\sigma^{expt}(np \to d\gamma) = 334.2(0.5)\ mb$$.

Authors:

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)

Publication Date:: 2015-09-24

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

Sponsoring Org.:: USDOE Office of Science (SC)

Contributing Org.:: NPLQCD Collaboration

OSTI Identifier:: 1221536

Alternate Identifier(s):: OSTI ID: 1224626

Report Number(s):: JLAB-THY-15-2045; DOE/OR/23177-3346; arXiv:1505.02422
Journal ID: ISSN 0031-9007; PRLTAO

Grant/Contract Number:: OCI-1053575; PHY1206498; PHY12-05778; AC02-05CH11231; DOE DE-SC0013477; SC0010337-ER42045; FG02-04ER41302; FG02-00ER41132; AC05-00OR22725; SC0010495; AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 115; Journal Issue: 13; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Beane, Silas R., Chang, Emmanuel, Detmold, William, Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., and Tiburzi, Brian C. Ab initio calculation of the $np \to d ³$ radiative capture process.  United States: N. p., 2015. 
        Web.  doi:10.1103/PhysRevLett.115.132001.

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                    Beane, Silas R., Chang, Emmanuel, Detmold, William, Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., & Tiburzi, Brian C. Ab initio calculation of the $np \to d ³$ radiative capture process.  United States.  doi:10.1103/PhysRevLett.115.132001.

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                    Beane, Silas R., Chang, Emmanuel, Detmold, William, Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., and Tiburzi, Brian C. Thu .  
        "Ab initio calculation of the $np \to d ³$ radiative capture process".  United States.  doi:10.1103/PhysRevLett.115.132001.  https://www.osti.gov/servlets/purl/1221536.

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@article{osti_1221536,

  title        = {Ab initio calculation of the $np \to d ³$ radiative capture process},

  author       = {Beane, Silas R. and Chang, Emmanuel and Detmold, William and Orginos, Kostas and Parreño, Assumpta and Savage, Martin J. and Tiburzi, Brian C.},

  abstractNote = {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 $\sigma^{expt}(np \to d\gamma) = 334.2(0.5)\ mb$.},

  doi          = {10.1103/PhysRevLett.115.132001},

  journal      = {Physical Review Letters},

  number       = 13,

  volume       = 115,

  place        = {United States},

  year         = {2015},

  month        = {9}

}

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DOI: 10.1103/PhysRevLett.115.132001

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

Abstract

Citation Formats

The proton-thermal neutron capture cross section journal, December 1965

Measurement of the p(n,γ)d reaction cross section between En = 100 and 350 keV journal, May 2003

Measurement of 1 H ( n , γ ) 2 H reaction cross section at a comparable M 1 / E 1 strength journal, December 1997

Photodisintegration of deuterium and big bang nucleosynthesis journal, October 2003

H 2 ( γ , n ) absolute cross section at 2754 keV journal, April 1989

First measurement of the near-threshold 2 H ( γ → , n ) p analyzing power using a free-electron laser based γ -ray source journal, May 2000

Low-energy photodisintegration of the deuteron and Big-Bang nucleosynthesis journal, November 2003

Meson exchange effects in n + p → d + γ journal, February 1972

Meson exchange currents in deuteron electro-disintegration journal, December 1973

Radiative neutron capture on a proton at big-bang nucleosynthesis energies journal, August 2006

Proton-proton fusion in effective field theory journal, August 2001

Proton–proton fusion in effective field theory to fifth order journal, November 2001

Proton–proton fusion in pionless effective theory journal, October 2008

Solar fusion cross sections. II. The p p chain and CNO cycles journal, April 2011

Near threshold proton–proton fusion in effective field theory journal, March 2013

Proton-Proton Weak Capture in Chiral Effective Field Theory journal, May 2013

Proton–proton fusion in lattice effective field theory journal, February 2015

Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order journal, February 2001

Nuclear σ terms and scalar-isoscalar WIMP-nucleus interactions from lattice QCD journal, April 2014

The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron journal, March 1950

The interaction effect in n-p capture journal, December 1965

Precision calculation of cross section for big-bang nucleosynthesis journal, October 2000

Perturbative calculation of the electromagnetic form factors of the deuteron journal, February 1999

Two-nucleon systems from effective field theory journal, November 1998

Effective field theory of short-range forces journal, January 1999

More effective field theory for non-relativistic scattering journal, June 1997

Rearranging pionless effective field theory journal, November 2001

Electroweak matrix elements in the two-nucleon sector from lattice QCD journal, October 2004

Nucleon-nucleon effective field theory without pions journal, July 1999

Isoscalar M1 and E2 amplitudes in np→dγ journal, October 1999

Elastic and inelastic neutrino–deuteron scattering in effective field theory journal, August 2000

Constraints on two-body axial currents from reactor antineutrino–deuteron breakup reactions journal, November 2002

Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry journal, February 2013

The spin-flavor dependence of nuclear forces from large-N QCD journal, January 1996

Improved continuum limit lattice action for QCD with wilson fermions journal, September 1985

On-shell improved lattice gauge theories journal, March 1985

First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass journal, February 2009

Nuclear correlation functions in lattice QCD journal, June 2013

Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry journal, August 2013

Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics journal, December 2014

Lattice Quantum-Chromodynamics Calculation of Some Baryon Magnetic Moments journal, October 1982

The proton and neutron magnetic moments in lattice QCD journal, October 1982

Baryon magnetic moments in the background field method journal, October 2005

Magnetic polarizability of hadrons from lattice QCD in the background field method journal, February 2006

Electromagnetic and spin polarizabilities in lattice QCD journal, June 2006

Lattice calculation of the magnetic moments of Δ and Ω − baryons with dynamical clover fermions journal, March 2009

Extracting electric polarizabilities from lattice QCD journal, May 2009

Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields journal, March 2010

Magnetic properties of the nucleon in a uniform background field journal, February 2014

Magnetic polarizabilities of light mesons in SU ( 3 ) lattice gauge theory journal, September 2015

A property of electric and magnetic flux in non-Abelian gauge theories journal, January 1979

Deuteron and exotic two-body bound states from lattice QCD journal, March 2012

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Effective Field Theory for Lattice Nuclei journal, February 2015

The Chroma Software System for Lattice QCD journal, March 2005

The proton-thermal neutron capture cross section
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Measurement of the p(n,γ)d reaction cross section between En = 100 and 350 keV
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Measurement of $^{1} H (n, γ)^{2} H$ reaction cross section at a comparable $M 1 / E 1$ strength
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Photodisintegration of deuterium and big bang nucleosynthesis
journal, October 2003

${}^{2}H$ ( γ , n ) absolute cross section at 2754 keV
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First measurement of the near-threshold $^{2} H (\vec{γ}, n) p$ analyzing power using a free-electron laser based $γ$ -ray source
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Low-energy photodisintegration of the deuteron and Big-Bang nucleosynthesis
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Meson exchange effects in n + p → d + γ
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Meson exchange currents in deuteron electro-disintegration
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Proton-proton fusion in effective field theory
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Proton–proton fusion in effective field theory to fifth order
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Proton–proton fusion in pionless effective theory
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Solar fusion cross sections. II. The $p p$ chain and CNO cycles
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Near threshold proton–proton fusion in effective field theory
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Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order
journal, February 2001

Nuclear $σ$ terms and scalar-isoscalar WIMP-nucleus interactions from lattice QCD
journal, April 2014

The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron
journal, March 1950

The interaction effect in n-p capture
journal, December 1965

Precision calculation of cross section for big-bang nucleosynthesis
journal, October 2000

Perturbative calculation of the electromagnetic form factors of the deuteron
journal, February 1999

Two-nucleon systems from effective field theory
journal, November 1998

Effective field theory of short-range forces
journal, January 1999

More effective field theory for non-relativistic scattering
journal, June 1997

Rearranging pionless effective field theory
journal, November 2001

Electroweak matrix elements in the two-nucleon sector from lattice QCD
journal, October 2004

Nucleon-nucleon effective field theory without pions
journal, July 1999

Isoscalar M1 and E2 amplitudes in np→dγ
journal, October 1999

Elastic and inelastic neutrino–deuteron scattering in effective field theory
journal, August 2000

Constraints on two-body axial currents from reactor antineutrino–deuteron breakup reactions
journal, November 2002

Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry
journal, February 2013

The spin-flavor dependence of nuclear forces from large-N QCD
journal, January 1996

Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985

On-shell improved lattice gauge theories
journal, March 1985

First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009

Nuclear correlation functions in lattice QCD
journal, June 2013

Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry
journal, August 2013

Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics
journal, December 2014

Lattice Quantum-Chromodynamics Calculation of Some Baryon Magnetic Moments
journal, October 1982

The proton and neutron magnetic moments in lattice QCD
journal, October 1982

Baryon magnetic moments in the background field method
journal, October 2005

Magnetic polarizability of hadrons from lattice QCD in the background field method
journal, February 2006

Electromagnetic and spin polarizabilities in lattice QCD
journal, June 2006

Lattice calculation of the magnetic moments of $Δ$ and $Ω^{-}$ baryons with dynamical clover fermions
journal, March 2009

Extracting electric polarizabilities from lattice QCD
journal, May 2009

Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields
journal, March 2010

Magnetic properties of the nucleon in a uniform background field
journal, February 2014

Magnetic polarizabilities of light mesons in $SU (3)$ lattice gauge theory
journal, September 2015

A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979

Deuteron and exotic two-body bound states from lattice QCD
journal, March 2012

Helium nuclei, deuteron, and dineutron in $2 + 1$ flavor lattice QCD
journal, October 2012

Study of quark mass dependence of binding energy for light nuclei in $2 + 1$ flavor lattice QCD
journal, July 2015

The theory of parity violation in few-nucleon systems
journal, September 2013

Effective Field Theory for Lattice Nuclei
journal, February 2015

The Chroma Software System for Lattice QCD
journal, March 2005