Two-nucleon higher partial-wave scattering from lattice QCD

Berkowitz, Evan; Kurth, Thorsten; Nicholson, Amy; Joó, Bálint; Rinaldi, Enrico; Strother, Mark; Vranas, Pavlos M.; Walker-Loud, André

doi:10.1016/j.physletb.2016.12.024

Two-nucleon higher partial-wave scattering from lattice QCD

Journal Article · Wed Dec 14 00:00:00 EST 2016 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2016.12.024· OSTI ID:1336490

Berkowitz, Evan ^[1]; Kurth, Thorsten ^[2]; Nicholson, Amy ^[3]; Joó, Bálint ^[4]; Rinaldi, Enrico ^[1]; Strother, Mark ^[3]; ^[1]; ^[5]

Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); University of California, Berkeley, CA (United States)
University of California, Berkeley, CA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)

We present a determination of nucleon-nucleon scattering phase shifts for ℓ ≥ 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For ℓ > 0, this is the first lattice QCD calculation using the Lüscher finite-volume formalism. This required the design and implementation of novel lattice methods involving displaced sources and momentum-space cubic sinks. To demonstrate the utility of our approach, the calculations were performed in the SU(3)-flavor limit where the light quark masses have been tuned to the physical strange quark mass, corresponding to m_π = m_K ≈ 800MeV. In this work, we have assumed that only the lowest partial waves contribute to each channel, ignoring the unphysical partial wave mixing that arises within the finite-volume formalism. This assumption is only valid for sufficiently low energies; we present evidence that it holds for our study using two different channels. Two spatial volumes of V ≈ (3.5fm)³ and V ≈ (4.6fm)³ were used. The finite-volume spectrum is extracted from the exponential falloff of the correlation functions. Said spectrum is mapped onto the infinite volume phase shifts using the generalization of the Lüscher formalism for two-nucleon systems.

View Journal Article

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States); University of California, Berkeley, CA (United States)

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-05CH11231; AC05-06OR23177; AC52-07NA27344; SC0004658; SC0012180

OSTI ID:: 1336490

Alternate ID(s):: OSTI ID: 1336399
OSTI ID: 1377779
OSTI ID: 1379731
OSTI ID: 2954609

Report Number(s):: DOE/OR/23177--3481; JLAB-THY--15-2116; LLNL-JRNL--674381; arXiv:1508.00886

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 765; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (46)

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states Lüscher, M. Communications in Mathematical Physics, Vol. 105, Issue 2 https://doi.org/10.1007/BF01211097	journal	June 1986
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions Lellouch, Laurent; Lüscher, Martin Communications in Mathematical Physics, Vol. 219, Issue 1 https://doi.org/10.1007/s002200100410	journal	May 2001
Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Resonance scattering phase shifts on a non-rest-frame lattice Rummukainen, K.; Gottlieb, Steven Nuclear Physics B, Vol. 450, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00313-H	journal	September 1995
Solving lattice QCD systems of equations using mixed precision solvers on GPUs Clark, M. A.; Babich, R.; Barros, K. Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.002	journal	September 2010
Finite-volume effects for two-hadron states in moving frames Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R. Nuclear Physics B, Vol. 727, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.08.029	journal	October 2005
I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD Bulava, John; Fahy, Brendan; Hörz, Ben Nuclear Physics B, Vol. 910 https://doi.org/10.1016/j.nuclphysb.2016.07.024	journal	September 2016
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
Two nucleons on a lattice Beane, S. R.; Bedaque, P. F.; Parreño, A. Physics Letters B, Vol. 585, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.02.007	journal	April 2004
Hyperon–nucleon force from lattice QCD Nemura, Hidekatsu; Ishii, Noriyoshi; Aoki, Sinya Physics Letters B, Vol. 673, Issue 2 https://doi.org/10.1016/j.physletb.2009.02.003	journal	March 2009
Spin–orbit force from lattice QCD Murano, K.; Ishii, N.; Aoki, S. Physics Letters B, Vol. 735 https://doi.org/10.1016/j.physletb.2014.05.061	journal	July 2014
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Nuclear reactions from lattice QCD Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 2 https://doi.org/10.1088/0954-3899/42/2/023101	journal	January 2015
Lattice QCD calculation of nuclear parity violation Wasem, Joseph Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.022501	journal	February 2012
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
Hadron scattering lengths in lattice QCD Fukugita, M.; Kuramashi, Y.; Okawa, M. Physical Review D, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevD.52.3003	journal	September 1995
Finite volume corrections to the two-particle decay of states with nonzero momentum Christ, Norman H.; Kim, Changhoan; Yamazaki, Takeshi Physical Review D, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevD.72.114506	journal	December 2005
Lattice QCD determination of patterns of excited baryon states Basak, Subhasish; Edwards, R. G.; Fleming, G. T. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.074504	journal	October 2007
Toward the excited meson spectrum of dynamical QCD Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J. Physical Review D, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevD.82.034508	journal	August 2010
Multiple-channel generalization of Lellouch-Lüscher formula Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.016007	journal	July 2012
S - and D -wave phase shifts in isospin-2 π π scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.034031	journal	August 2012
Resonance parameters of the rho-meson from asymmetrical lattices Pelissier, C.; Alexandru, A. Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014503	journal	January 2013
Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
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
Three-particle scattering amplitudes from a finite volume formalism Briceño, Raúl A.; Davoudi, Zohreh Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094507	journal	May 2013
Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD Morningstar, C.; Bulava, J.; Fahy, B. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014511	journal	July 2013
Multichannel 1 → 2 transition amplitudes in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Walker-Loud, André Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevD.91.034501	journal	February 2015
Evidence for a Bound H Dibaryon from Lattice QCD Beane, S. R.; Chang, E.; Detmold, W. Physical Review Letters, Vol. 106, Issue 16 https://doi.org/10.1103/PhysRevLett.106.162001	journal	April 2011
Ab Initio Calculation of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean Physical Review Letters, Vol. 106, Issue 19 https://doi.org/10.1103/PhysRevLett.106.192501	journal	May 2011
Hyperon-Nucleon Interactions from Quantum Chromodynamics and the Composition of Dense Nuclear Matter Beane, S. R.; Chang, E.; Cohen, S. D. Physical Review Letters, Vol. 109, Issue 17 https://doi.org/10.1103/PhysRevLett.109.172001	journal	October 2012
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.032501	journal	July 2013
Resonances in Coupled π K − η K Scattering from Quantum Chromodynamics Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182001	journal	October 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
Spectrum of Three-Body Bound States in a Finite Volume Meißner, Ulf-G.; Ríos, Guillermo; Rusetsky, Akaki Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.091602	journal	March 2015
Perturbative Effective Theory in an Oscillator Basis? Haxton, W. C.; Luu, T. Physical Review Letters, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevLett.89.182503	journal	October 2002
Nucleon-Nucleon Scattering from Fully Dynamical Lattice QCD Beane, S. R.; Bedaque, P. F.; Orginos, K. Physical Review Letters, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevLett.97.012001	journal	July 2006
Nuclear Force from Lattice QCD Ishii, N.; Aoki, S.; Hatsuda, T. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022001	journal	July 2007
Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory Navrátil, P.; Gueorguiev, V. G.; Vary, J. P. Physical Review Letters, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevLett.99.042501	journal	July 2007
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Colloquium : Three-body forces: From cold atoms to nuclei Hammer, Hans-Werner; Nogga, Andreas; Schwenk, Achim Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.197	journal	January 2013
Three particles in a finite volume Polejaeva, K.; Rusetsky, A. The European Physical Journal A, Vol. 48, Issue 5 https://doi.org/10.1140/epja/i2012-12067-8	journal	May 2012
Nuclear theory and science of the facility for rare isotope beams Balantekin, A. B.; Carlson, J.; Dean, D. J. Modern Physics Letters A, Vol. 29, Issue 11 https://doi.org/10.1142/S0217732314300109	journal	April 2014
Exploring Three-Nucleon Forces in Lattice QCD Doi, T.; Aoki, S.; Hatsuda, T. Progress of Theoretical Physics, Vol. 127, Issue 4 https://doi.org/10.1143/PTP.127.723	journal	April 2012
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI Pieper, Steven C.; Wiringa, R. B. Annual Review of Nuclear and Particle Science, Vol. 51, Issue 1 https://doi.org/10.1146/annurev.nucl.51.101701.132506	journal	December 2001
E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS Bedaque, Paulo F.; van Kolck, Ubirajara Annual Review of Nuclear and Particle Science, Vol. 52, Issue 1 https://doi.org/10.1146/annurev.nucl.52.050102.090637	journal	December 2002

Similar Records

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Two-nucleon higher partial-wave scattering from lattice QCD

Citation Formats

References (46)

Similar Records

Related Subjects