[Group A02]

Nuclear Physics from QCD

1 fm

10 km

10 fm

A03

A01
A02
A04
Hadron int. from LQCD
S. Aoki (Tsukuba)
N. Ishii (Tsukuba)
H. Nemura (Tsukuba)

A02
A04
Ab initio Many-Body Cal.
T. Otsuka (Tokyo)
N. Shimizu (CNS,Tokyo)
T. Suzuki (Nihon)

Dense Matter
A. Nakamura (Hiroshima)
M. Takano (Waseda)
K. Nagata (Hiroshima)

Hadron int. from LQCD
Ab initio Few-Body Cal.
T. Hatsuda (Tokyo/RIKEN)
E. Hiyama (RIKEN)
S. Sasaki (Tokyo)
K. Murano (RIKEN)
S. Ozaki (Tokyo)
T. Hatsuda (Tokyo/RIKEN)

TD-DFT
T. Nakatsukasa (RIKEN)
K. Yabana (Tsukuba)
K. Sato (RIKEN)

HPCI Field5 Subject 1

Dense Matter EoS and Nuclear Force

E/A (MeV)

Akmal, Pandharipande & Ravenhall, PRC58 (’98)

Z=0
N=Zρ(fm-3)

ρ0= 0.16 fm-3

3 ρ05 ρ0

Phenomenological NN forces

Nuclear Force and Neutron Star

NNNJ1614-2230(ρmax ～ 6ρ0)

PSR1913+16

NN

Neutron star binary

Oppenheimer-Volkov(1939)

Pressure balance
Fermi pressure
Repulsive coregravity

NN & NNN force
from lattice QCDNew method (Ishii method) to extract hadron potentials(stationary Schroedinger eq.  time-dep. Schroedinger eq.)

oldnew1S0 channel(2+1)-flavormπ=701 MeV
a=0.091 fm
L=2.90 fm

3N force from LQCD

Nf=2
mπ=1.13 GeV
L=2.5fm

T. Doi et al [HAL QCD Coll.], arXiv:1106.2276[hep-lat]r2 [fm]Baryon Force and Neutron StarJ1614-2230

BBB ?
PSR1913+16

BB ?
Oppenheimer-Volkov(1939)

Pressure balance
Fermi pressure
Repulsive coregravity

YN, YY forcefrom lattice QCD

BB forces in the SU(3) limit with new method

T. Inoue et al [HAL QCD],PRL 106 (2011) 16202
NPA in preparation.

Ab initio
nuclear few-body
calculations

The study of four-body structure of these hypernuclei isimportant for the study of ΛN spin-dependent force andcharge symmetry breaking interaction.

p

Λn

Λ

αααα

10B
Λ10Be
Λ

E. Hiyama @ ECT*

Exp.

Exp.
0 MeV

9B+Λ

-8.89 ± 0.12

0 MeV- 0.22 MeV

ΛnΛαααα10BeΛΛCompatible???

Future exp.
A=4 at JLAB ( 4He (e, e’K+) Λ4H )A=10 at J-PARC (to be proposed)-9.11 ± 0.22p10B

A=49Be+ΛA=10
Exp: - 0.22 ±0.25 MeV
Cal: - 0.17 MeV (without CSB)
Cal: + 0.01 MeV (with CSB)

Hiyama, Zhang, Yamamoto (2011)

Ab initio
nuclear many-body
calculations

T. Otsuka @ OMEG11

Time Dependent
Density Functional Theory

by TDDFT

Nakatsukasa@OMEG11EOS for
Neutron Star Matter
Lattice EOS

ALICE@LHC

3D hydro.
Neutron stars

P=P(μ） from QCD ?
TOV eq.

Variational Method with the Energy Functional
Uniform nuclear matter at zero temperature (M. Takano)
The central + tensor forces
Extension to the spin-orbit force
v8’ pot. + phenomenological TBF
Moderately constrained VM+All the three-body cluster terms

V6’ pot.

JPS2011

Two-body part: the tensor and spinorbit correlations are constrained.
Three-body part: tuned so as toreproduce the saturation point

Further refinement is in progress

NUFRA2011

Reduction Formula

A. Nakamura @ QHEC11

[Group A02]

Nuclear Physics from QCD

1 fm

10 km

10 fm

A03

A01
A02
A04
Hadron int. from LQCD
S. Aoki (Tsukuba)
N. Ishii (Tsukuba)
H. Nemura (Tsukuba)

A02
A04
Ab initio Many-Body Cal.
T. Otsuka (Tokyo)
N. Shimizu (CNS,Tokyo)
T. Suzuki (Nihon)

Dense Matter
A. Nakamura (Hiroshima)
M. Takano (Waseda)
K. Nagata (Hiroshima)

Hadron int. from LQCD
Ab initio Few-Body Cal.
T. Hatsuda (Tokyo/RIKEN)
E. Hiyama (RIKEN)
S. Sasaki (Tokyo)
K. Murano (RIKEN)
S. Ozaki (Tokyo)
T. Hatsuda (Tokyo/RIKEN)

TD-DFT
T. Nakatsukasa (RIKEN)
K. Yabana (Tsukuba)
K. Sato (RIKEN)

HPCI Field5 Subject 1