spin polarization of atoms produced by laser excitation...
TRANSCRIPT
Workshop on Low-Energy Radioactive Isotope Beam (RIB) Production by In-Gas Laser Ionization for Decay Spectroscopy
at RIKEN, December 10-11, 2012
Spin polarization of atoms produced by
laser excitation and its applications to
atomic and nuclear physics
Yukari MATSUORIKEN Nishina Center
Laser ionization and spectroscopy are useful for the study of atoms and nuclei
atoms,
ions
photon
laser
By changing the polarization of lasers polarization of atoms/ions can be manipulated
I would like to introduce a few techniques to control spin polarizations, especially using pulsed lasers, and its applications to atomic and nuclear physics
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Outline
(1) Background - Spin-polarized electrons and atoms / ions
- Optical pumping method
(2) Producing spin polarization using pulsed lasers- Cavity ring down method
- Multi-photon pulsed ionization method
- Optical pumping in superfluid helium
(3) Spin polarization of atoms in superfluid helium and its
applications to atomic and nuclear physics- Precision measurement of Zeeman and hyperfine structures of atoms in He II
- Novel nuclear laser spectroscopy of RI (radioisotope) atoms in He II :
OROCHI
(4) Summary
Developed in Japan
Results of our recent works
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Spin-polarized electrons and atoms/ions
being used as important beam sources
in the fields of surface physics, atomic physics,
nuclear physics, and high energy physics, etc.
in particular, for spin related characteristics
spin-polarized electron
an electron whose spin state is
polarized either to or ↓
spin-polarized atom/ion
an atom/ion whose valence
electron is spin-polarized
Hyperfine interaction
nuclear spin-polarized atom
an atom whose nuclear spin
is polarized
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
How to produce spin-polarized
electrons and atoms / ions
disadvantages alternative
spin-polarized electron
irradiation of circularly
polarized light onto GaAs
crystal
possibility of
serious damage by
strong irradiation
gas phase
target
spin-polarized atom / ionoptical pumping of alkali like
atoms, spin exchange with
these atoms
need to use
narrow-band,
stabilized cw laser
conventional
pulsed laser
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Optical pumping produces
electron spin polarization
2P3/2
2P1/2
2S1/2
23−=jm
21−=jm
21−=jm 2
1
21
21
23
21−
in the case of one-electron system(taking into account magnetic sub-level)
Irradiation of circularly
polarized light
if there are the other states to
which atoms are de-excited, the
system becomes out of the cycle
2P3/2
2P1/2
2S1/2
23−=jm
21−=jm
21−=jm 2
1
21
21
23
21−
Absorbing light and
emit light repeatedly
accumulation in the state of mj=½
corresponding to ms=½
=0l
→ electron spin polarization
effective method for one-electron system
like alkali atoms, alkali-earth ions
atoms need to interact with lasers many times…
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Outline
(1) Background - Spin-polarized electrons and atoms / ions
- Optical pumping method
(2) Producing spin polarization using pulsed lasers- Cavity ring down method
- Multi-photon pulsed ionization method
- Optical pumping in superfluid helium
(3) Spin polarization of atoms in superfluid helium and its
applications to atomic and nuclear physics- Precision measurement of Zeeman and hyperfine structures of atoms in He II
- Novel nuclear laser spectroscopy of RI (radioisotope) atoms in He II :
OROCHI
(4) Summary
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
T. Majima, et.al.,
Phys. Rev. A 77,
033417 (2008)
"Cavity"Cavity"Cavity"Cavity----assisted optical pumping"assisted optical pumping"assisted optical pumping"assisted optical pumping"
Photon trap using cavity ring down method
Method by
A. Terasaki,
T. Majima
(Toyota
Technological
Institute)
Laser light goes
back and forth in
the cavity, which
elongates the
effective interaction
time with ions,
resulting in optical
pumping of ions.
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Degree of polarization > 49 ± 6 (%)
Spin polarized Mn+ ions
T. Majima, et.al., Phys. Rev. A 77, 033417 (2008)
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Simultaneous production of spin polarized
ions/electrons by multi-photon ionization
Nano second pulsed lasers
5s 5s 5s 5s 2222SSSS1/21/21/21/2
5p 5p 5p 5p 2222PPPP1/21/21/21/2
SrSrSrSr
MMMMJJJJ = = = = ----1111 0000 1111
excitationexcitationexcitationexcitation
ionizationionizationionizationionization
detectiondetectiondetectiondetection
5s5s5s5s2222 1111SSSS0000
MMMMJJJJ = = = = ----1/21/21/21/2 1/21/21/21/2SrSrSrSr++++
RHC
5s5p 5s5p 5s5p 5s5p 3333PPPP1111
LHC
689 nm689 nm689 nm689 nm
421 nm421 nm421 nm421 nm
248 248 248 248 ---- 308 nm308 nm308 nm308 nm
Method by T. Nakajima
(Kyoto Univ., IAE)
In other words, the orbital angular momentum
that the atomic system obtained from circularly
polarized light (689nm)breaks up into spin and
orbit components
emitted electrons are also spin-polarized
Degree of spin
polarization RHCLHC
RHCLHC
II
IIP
+−
=
If more ions are populated in the
MJ=1/2 state than -1/2, fluorescence
by LHC excitation is larger than RHC.
producing spin-polarized ions by
ionization through the triplet
states (no optical pumping)
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Spin polarized Sr+ ions
Laser polarization dependence of 2P1/2-
2S1/2 LIF
Nakajima, et.al. APL 83, 2103 (2003)
64 ±±±± 9 %
Degree of spin
polarizationRHCLHC
RHCLHC
II
IIP
+−
=delay
Probe laser
Ionization
laser
Pump laser
trigger
trigger
Box-car
integratorComputer
Vacuum
chamber
Sr
disk
Ablation
laser532nm
(1x10-5Pa)
Monochro-
mator
PMT
689nm
421nm
285nm
Experimental setup at RIKENFurther developments (using auto-ionizing states,
isotope selective excitation) are in progress
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Controlling the degree of spin polarization
using ultra-short pulsed lasers
Femto second laser
5s6d 5s6d 5s6d 5s6d 3333DDDD1,21,21,21,2
probe 794 nmprobe 794 nmprobe 794 nmprobe 794 nm5s 5s 5s 5s 2222SSSS1/21/21/21/2
5p 5p 5p 5p 2222PPPP1/21/21/21/2
MMMMJJJJ = = = = ----1111 0000 1111
excitationexcitationexcitationexcitation
detectiondetectiondetectiondetection
5s5s5s5s2222 1111SSSS0000
MMMMJJJJ = = = = ----1/21/21/21/2 1/21/21/21/2
RHC
5s5p 5s5p 5s5p 5s5p 3333PPPP1111
LHC
689 nm689 nm689 nm689 nm
421 nm421 nm421 nm421 nm
pumppumppumppump397 nm397 nm397 nm397 nm
∆τ∆τ∆τ∆τ
The orbital angular momentum obtained from
circularly polarized light is transferred to the spin
components ->Time dependent spin polarization
Delaygenerator
trig.
trig.
Digital
oscilloscope
Computer
Vacuum chamber
Sr disk
532 nm
PMT
689 nm
421 nm794 nm
Ion deflector
Femtosecond
Laser (Ti:S)
HV pulser
Ion detection laser
Ablation laser
(<1x10-4Pa)
Pol.397 nm
λλλλ/2BBO
delayline Monochro-
mator
Excitation laser
M
M
M
M
MM
M
M
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Delay time dependence of
the degree of spin polarization
LHCRHC
Periodic variations (corresponding to the inverse of fine-structure splitting) of ILHC and P were observed.
LHC
RHC
Nakajima, et.al. PRA 77, 063404 (2008)
RHCLHC
RHCLHC
II
IIP
+−
=
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Multiple HFS levels can be Multiple HFS levels can be Multiple HFS levels can be Multiple HFS levels can be optical pumped simultaneouslyoptical pumped simultaneouslyoptical pumped simultaneouslyoptical pumped simultaneously
Optical pumping with circular polarized light
Laser σ+
M sub-levelspopulationaccumulated
emission
excitation
po
ten
tial
en
erg
y
rHe-M
broad,large blue-shift
sharp, small shift
S0,0
P1,0
• large shift, broad spectrum
could be an obstacle for spectroscopy
Behavior of atoms in superfluid He (He II)
If the relaxation between MIf the relaxation between MIf the relaxation between MIf the relaxation between M----sublevels is slowsublevels is slowsublevels is slowsublevels is slow
“spin polarization using optical pumping”
+ “double resonance spectroscopy”
=> precision spectroscopy
T. Furukawa, Doctoral thesis, Osaka Univ. (2007)
T. Furukawa, et. al., Hyp. Int., 196, 191 (2010).
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Further development
optical pumping of atoms other than alkalis
In vacuum In He II
Needs many lasersA single laser can excite all the atomic levels
Absorption spectra are broadened
Atoms with complicated energy
levels may be optically pumped.
Pumping rate Γ
Spin relaxation rate γ ・・・・wavelength do not need to be exactly tuned
・・・・spin polarization is generated if pumping
rate is larger than the relaxation rate
・・・・pulsed laser can be used as well as cw lasers
Taking advantage of characteristic
feature of He II
freedom to choose lasers
Group 11 elements (Ag, Au) are spin polarized using UV pulsed lasers
T. Furukawa, et. al., Hyp. Int., 196, 191 (2010).
Y. Matsuura, Master thesis, Meiji univ. (2011).
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Outline
(1) Background - Spin-polarized electrons and atoms / ions
- Optical pumping method
(2) Producing spin polarization using pulsed lasers- Cavity ring down method
- Multi-photon pulsed ionization method
- Optical pumping in superfluid helium
(3) Spin polarization of atoms in superfluid helium and its
applications to atomic and nuclear physics- Precision measurement of Zeeman and hyperfine structures of atoms in He II
- Novel nuclear laser spectroscopy of RI (radioisotope) atoms in He II :
OROCHI
(4) Summary
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Nuclear structure and laser spectroscopy
nuclear spins
electromagnetic moments
Spins nucleon orbital state
Magnetic dipole momentswave function of nucleus
Electric quadrupole momentsdeformation of nucleus
precision
measurement
nuclear structure
hyperfine interactionsInteraction between Interaction between Interaction between Interaction between
nucleus and electronsnucleus and electronsnucleus and electronsnucleus and electrons
charge radii
e
IJ
Fexternal
magnetic
field B
interaction between
nuclear moments
and electrons
interaction between
atomic spin mF and
external magnetic field
hyperfine structures
Zeeman splittings
atomic sublevel structure
IJ
laser spectroscopy
isotope shift
There are many works on
Laser Ionization and Spectroscopy in Gas
Why not in Liquid?
But, precision measurement cannot be expected
Stopping efficiency is much better for liquid
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
LIF
decreases
Double resonance spectroscopy
MW
RF
mF= -1F=1
0 +1
0F=0
2S1/2
2P1/2
mF= -1F=1
0 +1
0F=0
X
LIF intensity
MW or RF frequency
expected spectrum
LIF increases
Optical pumping
mF= -1F=1
0 +1
0F=0
2S1/2
2P1/2
mF= -1F=1
0 +1
0F=0
X
mF= -1F=1
0 +1
0F=0
2S1/2
2P1/2
mF= -1F=1
0 +1
0F=0
Xcircularly
polarized
laser light
Zeemansplittings
hyperfinesplitting
ground state
excited state
Mearsurement of atomic sublevel structures
electronic transition is
perturbed by surrounding He
atomic sublevel structures
not much affected
Double resonance spectroscopy
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Experimental setup
Femto sec pulsed Ti:SH
e
ⅡHeⅡSuperfluid
fountain
LIF
Monochro-matorP.M.T
Pumping laser
EOMAOD
samplePulsed Nd:YAG atom
cluster Helmholtz coil
Ablation laser
Dissociation laserHeⅡ
λ/4 Dipole antennaλ/4 Dipole antennaλ/4 Dipole antennaλ/4 Dipole antenna
Off-line
our method introducing atoms/ions into He II
above surface laser ablation method
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Time (arb. unit)
LIF
Co
un
t (c
ou
nts
/ b
in)
0
100
200
300
400
500
600
700
800
5 ms
直線偏光
円偏光
Time (ms)
ph
oto
n c
ou
nts
5 ms
偏光切替Change the laser polarization
linearly
polarized
lightcircularly
polarized
light.
・ Polarization::::~90 %(Cs), ~50 %(Rb)
・Long spin relaxation time:
2.24(19) sec (Cs)
T. Furukawa et al., Phys. Rev. Lett. 96, 095301 (2006)
long spin relaxation time
Precision laser spectroscopy in He II
・Zeeman splittings
(Rb isotope, 4 Gauss)I85Rb = 2.6(1) → 5/2
I87Rb = 1.55(5) → 3/2
∆EZmn= gF µB B
Zeeman splittings(alkali atoms, s-state)
2.8(MHz)×B(Gauss)=
(2I+1)
h
・Hyperfine structure splittings
(Cs, Rb isotopes)
・determine nuclear moments
・as accurate as in vacuum
T. Furukawa, Doctoral thesis, Osaka Univ. (2007)
T. Furukawa, et. al., Hyp. Int., 196, 191 (2010).
magnetic moment
This work (from AHeII)
evaluated (from Avacuum)
literature value
µI85Rb (µN)
1.357 83 (7) µN
1.358 071(1) µN1.353 351 5 µN
Rb
IRbRb
RbRbRb
IIA
IA 87
8787
858585 µµ ×=
hyperfine resonance: width-50kHzPrecision measurement of hyperfine structure
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
PMT
Monochromator
LIF
Pumping Laser
Helmholz Coil
λ/4
αBBO
σ++++
Au sampleAblation Laser
Dissociation Laser
263.5nm, 1-10kHz
Spin polarization achieved ~ 72%
BBBB⊥⊥⊥⊥
BBBB∦∦∦∦
Bresidual
Bmax
B0Coil
current
LIF
t
t
Spin polarization of Au atoms
using a pulsed laser
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Pumping
Laser
λ/4 LIF
RF coil
RF resonance
νMHz = 1.4 gF Bgauss
νMHz = 0.71 (Bcoil-Bresidaul)
Ⅰ=1.49 (→ 3/2)
slope 0.710 (5)
Bcoil [Gauss]R
F f
req
ue
ncy
[MHz]
assume nuclear spin is unknown
Y. Matsuura, Master thesis, Meiji univ. (2011).
Laser-RF double resonance spectroscopy
of Au atoms
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Optical RI-atom Observation in Condensed Helium as Ion-catcher
He stopper of RI beam
Laser spectroscopy
+
For the systematic determination of nuclear spins and moments
by measuring atomic Zeeman and hyperfine splittings
RI beam
Laser
Ion beam
(radioisotope atoms)
separator
Accelerator
RI atoms
target
LIF
He II
Advantageous for the
study of low yield and
short-lived unstable
nuclei
Application to the Radioactive Isotope Beam :
“OROCHI”
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Optical RI-atom Observation in Condensed Helium as Ion-catcher
He stopper of RI beam
Laser spectroscopy
+
For the systematic determination of nuclear spins and moments
by measuring atomic Zeeman and hyperfine splittings
RI beam
Laser
Ion beam
(radioisotope atoms)
separator
Accelerator
RI atoms
target
LIF
He II
Advantageous for the
study of low yield and
short-lived unstable
nuclei
Application to the Radioactive Isotope Beam :
“OROCHI”
Photo @ Matsue 2012.12.06
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Rb beam
laser
cryostat
Photo-detection system
All the devices were mounted
on RIKEN RIPS beam line
All the devices were mounted
on RIKEN RIPS beam line
Rb beam66 MeV/nucleon104-5 pps = 0.01pnA
Cryostat
Photo-detection system
Experimental setup
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Optical RI-atom Observation in Condensed Helium as Ion-catcher
He stopper of RI beam
Laser spectroscopy
+
For the systematic determination of nuclear spins and moments
by measuring atomic Zeeman and hyperfine splittings
RI beam
Laser
Ion beam
(radioisotope atoms)
separator
Accelerator
RI atoms
target
LIF
He II
Advantageous for the
study of low yield and
short-lived unstable
nuclei
Application to the Radioactive Isotope Beam :
“OROCHI”
84,85Rb RI beam
Sep. 2012
87Rb primary beam
Sep. 2010
Laser induced fluorescence Laser induced fluorescence Laser induced fluorescence Laser induced fluorescence (LIF) from ion beam injected (LIF) from ion beam injected (LIF) from ion beam injected (LIF) from ion beam injected at accelerator facility is at accelerator facility is at accelerator facility is at accelerator facility is observed for the first time !observed for the first time !observed for the first time !observed for the first time !
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
BroomB
Bcoil
Bcoil: Max = Large polarization
Bcoil: 0 = Small polarization
Bcoil: hννννrf/gFµµµµB = Resonance
B Sweeping magnetic field strength*
With applying rf field *
Small resonance peak :due to the incomplete injectionof rf power.
85Rb: 8.6 x 104 pps, 15 min. measurement
Preliminarily
Bcoil=0
Ma
gn
etic f
ield
str
en
gth
Clearly see the resonance !
85Rb, I=5/2-
84Rb: 5.7 x 104 pps, 30 min. measurement
Bcoil=0
Preliminarily
Ma
gn
etic f
ield
str
en
gth
84Rb, I=2-
Highlight data of on-line experiment
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
OROCHI targetsProton number
Neutron number
Z=50 magic number
N=50 magicnumber
Z=82 magic number
extending neutron number increased variety of atomic species
Nuclear chart
In
Under
development
of optical
pumping
Au
Rb
Ag
promising
candidates
for OROCHI
Cs
WS on Low-Energy RIB Production by In-Gas Laser Ionization for Decay Spectroscopy @RIKEN 2012.12.11
Summary
・ Controlling the polarization of lasers can manipulate spin polarization of atoms, ions, and electrons.
・ Spin polarization of atoms can be efficiently achieved using superfluid helium as a trapping matrix.
・ New methods to produce spin polarization of atoms and ions are being developed using pulsed lasers.
・ Laser spectroscopy of atoms in superfluid helium will be a powerful technique to study nuclear structure of short-lived radioisotopes (RIs) generated at accelerator facilities; OROCHI (Optical RI-atom Observation in Condensed Helium as Ion-catcher) project.
OROCHI collaborators
RIKENRIKENRIKENRIKEN::::X.Yang,X.Yang,X.Yang,X.Yang, H. Ueno, H. Ueno, H. Ueno, H. Ueno, Y. IshibashiY. IshibashiY. IshibashiY. Ishibashi, M. Wada, T. Sonoda, , M. Wada, T. Sonoda, , M. Wada, T. Sonoda, , M. Wada, T. Sonoda, Y. Itou Y. Itou Y. Itou Y. Itou , , , , T. Kobayashi, S. Nishimura, M, Nishimura, K. YonedaT. Kobayashi, S. Nishimura, M, Nishimura, K. YonedaT. Kobayashi, S. Nishimura, M, Nishimura, K. YonedaT. Kobayashi, S. Nishimura, M, Nishimura, K. Yoneda
Osaka Univ.:Osaka Univ.:Osaka Univ.:Osaka Univ.:T. FujitaT. FujitaT. FujitaT. Fujita, T. Shimoda, T. Shimoda, T. Shimoda, T. Shimoda
CYRIC, Tohoku Univ.:CYRIC, Tohoku Univ.:CYRIC, Tohoku Univ.:CYRIC, Tohoku Univ.:T. Wakui, T. ShinozukaT. Wakui, T. ShinozukaT. Wakui, T. ShinozukaT. Wakui, T. Shinozuka
Meiji Univ.:Meiji Univ.:Meiji Univ.:Meiji Univ.:K. Imamura, Y. Yamaguchi,, Y. Mitsuya, S. Arai, M. MuramotoK. Imamura, Y. Yamaguchi,, Y. Mitsuya, S. Arai, M. MuramotoK. Imamura, Y. Yamaguchi,, Y. Mitsuya, S. Arai, M. MuramotoK. Imamura, Y. Yamaguchi,, Y. Mitsuya, S. Arai, M. Muramoto
Tokyo Univ. of Agriculture and Tech.Tokyo Univ. of Agriculture and Tech.Tokyo Univ. of Agriculture and Tech.Tokyo Univ. of Agriculture and Tech.::::A. HatakeyamaA. HatakeyamaA. HatakeyamaA. Hatakeyama
Spokesperson:Spokesperson:Spokesperson:Spokesperson:Takeshi FurukawaTakeshi FurukawaTakeshi FurukawaTakeshi Furukawa (Tokyo Metropolitan University)(Tokyo Metropolitan University)(Tokyo Metropolitan University)(Tokyo Metropolitan University), Yukari Matsuo , Yukari Matsuo , Yukari Matsuo , Yukari Matsuo (RIKEN)(RIKEN)(RIKEN)(RIKEN)
CNS, Univ. Tokyo:CNS, Univ. Tokyo:CNS, Univ. Tokyo:CNS, Univ. Tokyo:S. Kubono, Y. OshiroS. Kubono, Y. OshiroS. Kubono, Y. OshiroS. Kubono, Y. Oshiro
Tokyo Gakugei Univ.:Tokyo Gakugei Univ.:Tokyo Gakugei Univ.:Tokyo Gakugei Univ.:H. Tetsuka, Y.Tsutsui, Y. Ebara, M. Hayasaka, H. Tetsuka, Y.Tsutsui, Y. Ebara, M. Hayasaka, H. Tetsuka, Y.Tsutsui, Y. Ebara, M. Hayasaka, H. Tetsuka, Y.Tsutsui, Y. Ebara, M. Hayasaka,
Tokyo institute of Technology:Tokyo institute of Technology:Tokyo institute of Technology:Tokyo institute of Technology:Y. Ichikawa, K. Asahi, Y. Ichikawa, K. Asahi, Y. Ichikawa, K. Asahi, Y. Ichikawa, K. Asahi, N. YoshidaN. YoshidaN. YoshidaN. Yoshida, , , , H. ShiraiH. ShiraiH. ShiraiH. Shirai, Y. Kondo, Y. Kondo, Y. Kondo, Y. Kondo