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軽い重イオン散乱における 三体斥力の効果
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「少数系物理の現状と今後の展望」研究会 (Dec 23-25, 2008 at RCNP ). 軽い重イオン散乱における 三体斥力の効果. 古本 猛憲 ( 大阪市立大学・理学研究科). 共同研究者 櫻木 千典 ( 大阪市立大学・理学研究科) 山本 安夫 ( 都留文科大学 ). Contents. New complex G-matrix (CEG07) ・ modern NN interaction in free space “ ESC04 ” (Extended Soft-Core) - PowerPoint PPT Presentation
Transcript of 軽い重イオン散乱における 三体斥力の効果
軽い重イオン散乱における三体斥力の効果
古本 猛憲( 大阪市立大学・理学研究科 )
「少数系物理の現状と今後の展望」研究会 (Dec 23-25, 2008 at RCNP)
共同研究者櫻木 千典 ( 大阪市立大学・理学研究科 )山本 安夫 ( 都留文科大学 )
ContentsContents
1. New complex G-matrix (CEG07) ・ modern NN interaction in free space
“ESC04” (Extended Soft-Core)
・ includes the Three-Body Force (TBF) effects
・ satisfy the nuclear-matter saturation property
2. Application to N-A elastic scattering ・ Single-Folding model for p + 12C
3. Application to A-A elastic scattering ・ Double-Folding model for 16O + 16O & other systems
important role of three-body force (TBF)
“ESC04” : the latest version of Extended Soft-Core force designed for NN, YN and YY systems
Th. Rijken, Y. Yamamoto, Phys.Rev.C 73 (2006) 044008
Complex G-matrix interaction （ CEG07 ）
T.Furumoto, Y. Sakuragi and Y. Yamamoto, Phys.Rev.C 78 (2008) 044610
1. Three-body attraction (TBA) ・ Fujita-Miyazawa diagram ・ important at low density region
2. Three-body repulsion (TBR) ・ originated the triple-meson correlation ・ important at high-density region
density-dependent effective two-body force
In the ESC04 model
Complex G-matrix interaction （ CEG07 ）
includes the three-body force
switch off three-body force(two-body only)
derived from ESC04 NN force (Extended Soft-Core)
Decisive role to make the saturation curve realistic
)()(
)exp(),;,(),(
),;,()()(
0
RR
rskrRrR
rrRrR
CC
FEX
FDC
iWV
diEkT
dEkTU
)(,
)(,,
imagEXD
realEXDEXD iTTT
Single folding Potential(Central part)
Proton
Target
R
rT(s)
Complex G-matrix interaction (CEG07)
)()(
)exp()(),;,()(
)(),;,()()(
0)(*
)(*
RR
rskRSLrRr
rrSLrRrR
LSLS
iiF
LSEXi
iiF
LSDiLS
iWV
diEkT
dEkTU
),(,
),(,
)(,
imagLSEXD
realLSEXD
LSEXD iTTT
Single folding Potential(LS part)
Proton
Target
R
rT(LS)(s)
Complex G-matrix interaction (CEG07)
LSWLS
CWCopt
WiNV
WiNVU
Renormalization of the imaginary potential strength
fix NW-value to be 0.65to reproduce the measuredtotal reaction cross sections
p-12C elastic scattering
Comparison of the folding potential at E = 122 MeV CEG07a(two body only) vs CEG07b(with TBF)
mainly seen in the real central part
TBF effect
This difference appears in analyzing power
Comparison of the folding potential at E = 122 MeV CEG07a(two body only) vs CEG07b(with TBF)
TBF effect
0
02
0
Nucleon-Nucleus(one nuclear matter)
Nucleus-Nucleus(two nuclear matters)
Double folding Potential
R
r1
r2
vNN(s)
Projectile(1) Target(2)
)(,
)(,,
imagEXD
realEXDEXD iTTT
Complex G-matrix interaction (CEG07)
)()(
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21222111
212211
RR
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Frozen-density app. (FDA)
21
Double folding Potential
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Projectile(1) Target(2)
)()(
ddexp),;(),(),(
dd),;()()()(
21222111
212211
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ssrrsrr
rrsrrR
DFMDFM
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iWV
MiET
ETU
Frozen-density app. (FDA)
21
DFMWDFMDFM WiNVU
Renormalization factor
16O + 16O elastic scattering ＠ E/A = 70 MeV
DFMWDFMDFM WiNVU
T.Furumoto, Y. Sakuragi and Y. Yamamoto, (Phys.Rev.C rapid communications (2008) in press)
important effect of three-body force
21222111
212211
ddexp),;(),(),(
dd),;()()()(
rrsK
ssrrsrr
rrsrrR
MiET
ETU
EX
D
Double folding Potential
R
r1
r2
vNN(s)
Projectile(1) Target(2)
)()()( RRR DFMDFMDFM iWVU
21 1.
)(5.0 2. 21
Local density approximation (LDA)
)(
)( 3.
00
021
FDA
)(
)( 3.
)(5.0 2.
1.
00
021
21
21
局所密度近似 (LDA)
16O + 16O folding potentials with CEG07b (with TBF) ＠ E/A = 70 MeV
FDA
)(
)( 3.
)(5.0 2.
1.
00
021
21
21
局所密度近似 (LDA)
16O + 16O elastic scattering with CEG07b (with TBF) ＠ E/A = 70 MeV
FDA
DFMWDFMDFM WiNVU
DFMWDFMDFM WiNVU
16O + 12C, 12C + 12C elastic scattering ＠ E/A = 93.9, 135 MeV
important effect of three-body force
SummarySummary
• We have proposed a new complex G-matrix (CEG07) - derived from modern NN interaction model; ESC04 (extended soft-core) - include Three-Body Force (TBF) effect to be consistent with saturation property
• CEG07 with TBF-effects is successful for both - proton-nucleus (N-A) and nucleus-nucleus (A-A) elastic scattering
•Decisive role of Three-Body Force (TBF) effect is found. - particularly TBR (Three-Body Repulsion) effect is essential, both for nuclear saturation & nucleus-nucleus scattering
