Two-nucleon systems in a finite volume. II. $^3S_1-^3D_1$ coupled channels and the deuteron

Briceño, Raul A.; Davoudi, Zohreh; Luu, Thomas; Savage, Martin J.

doi:10.1103/PhysRevD.88.114507

Two-nucleon systems in a finite volume. II. $^3S_1-^3D_1$ coupled channels and the deuteron

Raul A. Briceño
(
- Jefferson Lab
)
,
Zohreh Davoudi
(
- Washington U., Seattle
)
,
Thomas Luu
(
- JCHP, Julich and
- Julich, Forschungszentrum and
- IAS, Julich
)
,
Martin J. Savage
(
- Washington U., Seattle
)

Sep 13, 2013

22 pages

Published in:

Phys.Rev.D 88 (2013) 11, 114507

Published: Dec 10, 2013

e-Print:

1309.3556 [hep-lat]

DOI:

10.1103/PhysRevD.88.114507

Report number:

INT-PUB-13-037,
NT@UW-13-025,
JLAB-THY-13-1824

View in:

pdflinks

reference search83 citations

Citations per year

Abstract: (APS)

The energy spectra of two nucleons in a cubic volume provide access to the two phase shifts and one mixing angle that define the S matrix in the S13-D13 coupled channels containing the deuteron. With the aid of recently derived energy quantization conditions for such systems, and the known scattering parameters, these spectra are predicted for a range of volumes. It is found that extractions of the infinite-volume deuteron binding energy and leading scattering parameters, including the S-D mixing angle at the deuteron pole, are possible from lattice QCD calculations of two-nucleon systems with boosts of |P|≤2πL3 in volumes with 10 fm≲L≲14 fm. The viability of extracting the asymptotic D/S ratio of the deuteron wave function from lattice QCD calculations is discussed.

Note:

31 pages, 17 figures

12.38.Gc
12.38.-t
14.20.Dh
deuteron: binding energy
deuteron: wave function
energy: quantization
nucleon nucleon
lattice field theory
quantum chromodynamics
coupled channel

References(59)

Figures(55)

[1]

arXiv:heplat/0602010 [hep-lat]

S.R. Beane
,
P. Bedaque
,
K. Orginos
,
M.J. Savage

- Phys.Rev.Lett. 97 (2006) 012001

[2]

The Nuclear Force from Lattice QCD

N. Ishii
(
- Tsukuba U., RCCP and
- Tokyo U.
)
,
S. Aoki
(
- Tsukuba U., GSPAS
)
,
T. Hatsuda
(
- Tokyo U.
)

- Phys.Rev.Lett. 99 (2007) 022001
•
e-Print:
- nucl-th/0611096
•
DOI:
- 10.1103/PhysRevLett.99.022001

[3]

Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics

S. Aoki
(
- Tsukuba U., GSPAS and
- RIKEN BNL
)
,
T. Hatsuda
(
- Tokyo U.
)
,
N. Ishii
(
- Tsukuba U.
)

- Comput.Sci.Dis. 1 (2008) 015009
•
e-Print:
- 0805.2462
•
DOI:
- 10.1088/1749-4699/1/1/015009

[4]

High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions

NPLQCD

Collaboration

•

Silas R. Beane
(
- New Hampshire U.
)

et al.

- Phys.Rev.D 81 (2010) 054505
•
e-Print:
- 0912.4243
•
DOI:
- 10.1103/PhysRevD.81.054505

[5]

Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations

- Prog.Theor.Phys. 123 (2010) 89-128
•
e-Print:
- 0909.5585
•
DOI:
- 10.1143/PTP.123.89

[6]

Evidence for a Bound H-dibaryon from Lattice QCD

NPLQCD

Collaboration

•

S.R. Beane
(
- Bern U. and
- New Hampshire U.
)

et al.

- Phys.Rev.Lett. 106 (2011) 162001
•
e-Print:
- 1012.3812
•
DOI:
- 10.1103/PhysRevLett.106.162001

[7]

The Deuteron and Exotic Two-Body Bound States from Lattice QCD

NPLQCD

Collaboration

•

S.R. Beane
(
- New Hampshire U.
)

et al.

- Phys.Rev.D 85 (2012) 054511
•
e-Print:
- 1109.2889
•
DOI:
- 10.1103/PhysRevD.85.054511

[8]

Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics

S.R. Beane
(
- New Hampshire U.
)
,
E. Chang
(
- Barcelona U., ECM and
- ICC, Barcelona U.
)
,
S.D. Cohen
(
- Washington U., Seattle
)
,
W. Detmold
(
- William-Mary Coll. and
- Jefferson Lab
)
,
H.-W. Lin
(
- Washington U., Seattle
)

et al.

- Phys.Rev.Lett. 109 (2012) 172001
•
e-Print:
- 1204.3606
•
DOI:
- 10.1103/PhysRevLett.109.172001

[9]

Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry

NPLQCD

Collaboration

•

S.R. Beane
(
- New Hampshire U.
)

et al.

- Phys.Rev.D 87 (2013) 3, 034506
•
e-Print:
- 1206.5219
•
DOI:
- 10.1103/PhysRevD.87.034506

[10]

Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry

NPLQCD

Collaboration

•

S.R. Beane
(
- Bonn U., HISKP
)

et al.

- Phys.Rev.C 88 (2013) 2, 024003
•
e-Print:
- 1301.5790
•
DOI:
- 10.1103/PhysRevC.88.024003

[11]

Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD

Takeshi Yamazaki
(
- KMI, Nagoya and
- JAERI-RIKEN, Hyogo
)
,
Ken-ichi Ishikawa
(
- Hiroshima U. and
- JAERI-RIKEN, Hyogo
)
,
Yoshinobu Kuramashi
(
- Tsukuba U., CCS and
- Tsukuba U., GSPAS and
- JAERI-RIKEN, Hyogo and
- Tsukuba U.
)
,
Akira Ukawa
(
- Tsukuba U., GSPAS
)

- Phys.Rev.D 86 (2012) 074514
•
e-Print:
- 1207.4277
•
DOI:
- 10.1103/PhysRevD.86.074514

[12]

Bound states of multi-nucleon channels in $N_f$ =2+1 lattice QCD

Takeshi Yamazaki
(
- RIKEN AICS, Kobe
)
,
Ken-ichi Ishikawa
(
- RIKEN AICS, Kobe
)
,
Yoshinobu Kuramashi
,
Akira Ukawa
(
- Tsukuba U., CCS
)

- PoS LATTICE2012 (2012) 143
•
e-Print:
- 1211.4334
•
DOI:
- 10.22323/1.164.0143

[13]

Spin–orbit force from lattice QCD

HAL QCD

Collaboration

•

K. Murano
(
- Nishina Ctr., RIKEN
)

et al.

- Phys.Lett.B 735 (2014) 19-24
•
e-Print:
- 1305.2293
•
DOI:
- 10.1016/j.physletb.2014.05.061

[14]

An Accurate nucleon-nucleon potential with charge independence breaking

Robert B. Wiringa
(
- Argonne, PHY
)
,
V.G.J. Stoks
(
- Flinders U.
)
,
R. Schiavilla
(
- Jefferson Lab and
- Old Dominion U.
)

- Phys.Rev.C 51 (1995) 38-51
•
e-Print:
- nucl-th/9408016
•
DOI:
- 10.1103/PhysRevC.51.38

[15]

The High precision, charge dependent Bonn nucleon-nucleon potential (CD-Bonn)

R. Machleidt
(
- Idaho U.
)

- Phys.Rev.C 63 (2001) 024001
•
e-Print:
- nucl-th/0006014
•
DOI:
- 10.1103/PhysRevC.63.024001

[16]

Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in D-2

David M. Bishop
(
- Ottawa U.
)
,
Lap M. Cheung
(
- Ottawa U.
)

- Phys.Rev.A 20 (1979) 381-384
•
DOI:
- 10.1103/PhysRevA.20.381

[17]

Neutron-Proton Scattering with Spin-Orbit Coupling. 2. Variational Formulation and Effective Range Theory

L.C. Biedenharn
(
- Yale U.
)
,
J.M. Blatt
(
- Australia, CSIRO, Sydney
)

- Phys.Rev. 93 (1954) 1387-1394
•
DOI:
- 10.1103/PhysRev.93.1387

[18]

Deuteron quadrupole moment and S-31- D-31 state properties

Mustafa M. Mustafa
(
- Assiut U.
)

- Phys.Rev.C 47 (1993) 473-483
•
DOI:
- 10.1103/PhysRevC.47.473

[19]

The Low-energy n p scattering parameters and the deuteron

e-Print:
- nucl-th/9509032

[20]

Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States

M. Luscher
(
- DESY
)

- Commun.Math.Phys. 105 (1986) 153-188,
- Hamburg Desy - DESY 86-034 (86,REC.MAR.),
- Commun. Math. Phys. 105 ( 1986) 153-188 and Hamburg Desy - DESY 86-034 (86,REC.MAR.) 80p
•
DOI:
- 10.1007/BF01211097