Download Heavy Quark Symmetry (HQS) - J-PARC分室

チャームハドロンの
面白さとは何か？
So, what’s interesting in charm hadrons?
安井 繁宏
(KEK)
ミニ滞在型研究検討会「チャームバリオンの構造と生成」@10-13 Sep. 2013
Contents
1. Introduction to charm (bottom) hadrons
2. Mass spectrum of baryons with a heavy quark
4. Anti-D (B) meson in nuclear medium
- Heavy meson effective theory with 1/M corretions
5. Summary & perspectives
Contents
1. Introduction to charm (bottom) hadrons
2. Mass spectrum of baryons with a heavy quark
4. Anti-D (B) meson in nuclear medium
- Heavy meson effective theory with 1/M corretions
5. Summary & perspectives
Conclusion
Probe spin dynamics by charm hadrons!
Then, we can approach gluon dynamics !!!
1. Introduction
What is interesting in hadron physics?
Non-perturbative physics of QCD
- Spontaneous breaking of chrial symmetry
- Confinement of color
- Anomaly (chiral anomaly, scale anomaly, ...)
- ...
T
2x1012 K
Quark-Gluon Plasma
Early Universe
Heavy Ion Collisions
Confinement
Deconfinement
Gas
Cluster
Nuclear
Matter
Strange
Matter
Color Superconductivity
Neutron Stars
ρ
1. Introduction
What is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model
1. Introduction
What is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model
Heavy Quark Effective Theory
(QCD)
Heavy quark spin
+ Total angular momentum of light quarks and gluons
1. Introduction
What is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model
Heavy Quark Effective Theory
(QCD)
Heavy quark spin
+ Total angular momentum of light quarks and gluons
“Brown Muck”
2. Mass spectrum of baryons with a heavy quark
Heavy quark effective theory
(HQET)
2. Mass spectrum of baryons with a heavy quark
Heavy quark effective theory (HQET) 1/mQ expansion
HQET
Qv
Effective heavy quark field
(four-velocity v)
Covariant derivative
Tensor field of gluon
(chromoelectric G0i,
chromomagnetic Gij)
Light quarks & gluons
2. Mass spectrum of baryons with a heavy quark
Heavy quark effective theory (HQET) 1/mQ expansion
Light quarks & gluons
HQET
Qv
Mass of heavy meson H containing a heavy quark Q (in vacuum)
rest frame
D-D* (B-B*) mass approximate degeneracy
Matrix elements
LO
HQS conserved
HQFS conserved
HQSS conserved
HQFS broken
HQSS conserved
NLO O(1/mQ)
HQS broken
HQFS broken
HQSS broken
HQS = Heavy quark symmetry, HQFS=Heavy quark flavor symmetry, HQSS=Heavy quark spin symmetry
2. Mass spectrum of baryons with a heavy quark
Heavy quark effective theory (HQET) 1/mQ expansion
Light quarks & gluons
HQET
Qv
Mass of heavy meson H containing a heavy quark Q (in vacuum)
rest frame
D-D* (B-B*) mass approximate degeneracy
Matrix elements
LO
HQS conserved
NLO O(1/mQ)
HQS broken
HQS = Heavy quark symmetry
Bigi, Shifman, Uraltsev, Vainshtein,
PRD52, 196 (1995)
scale anomaly
chromoelectric gluon
chromomagnetic gluon
Neubert, PLB322, 419 (1994)
“the virial theorem”
2. Mass spectrum of baryons with a heavy quark
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
=
Normal heavy hadron
+
Heavy quark
Brown muck
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
=
Multiquark heavy hadron
+
Heavy quark
Brown muck
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
New!
=
Multiquark heavy hadron
+
Heavy quark
Brown muck
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
=
Hadronic molecular
heavy hadron
+
Heavy quark
“Light Spin-Complex”
A complex of light quarks and
gluons and light hadrons
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
=
Hadronic molecular
heavy hadron
+
Heavy quark
New!!!
“Light Spin-Complex”
A complex of light quarks and
gluons and light hadrons
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
Heavy hadron in nuclear medium
→ Light Spin-Complex = “quark” + nucleon + hole!
=
Hadronic molecular
heavy hadron
+
Heavy quark
New!!!
“Light Spin-Complex”
A complex of light quarks and
gluons and light hadrons
2. Mass spectrum of baryons with a heavy quark
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
J=j+1/2
J=j-1/2, j+1/2
(j≠0)
1/mQ
Energ
y
J=j-1/2
J=1/2
J=1/2
mQ : finite
mQ → ∞
2. Mass spectrum of baryons with a heavy quark
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
J=j+1/2
1/mQ
Energ
y
J=j-1/2
J=1/2
mQ : finite
J=j-1/2, j+1/2
(j≠0)
HQS Singlet (j=0)
J=1/2
mQ → ∞
?
2. Mass spectrum of baryons with a heavy quark
Heavy quark limit (HQL) mQ→∞
Spin decoupling:
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Heavy Quark Symmetry (HQS)
Heavy
quark
spin
Total angular momentum
of light quarks and gluons
J=1/2
Energ
y
J=1/2
1/mQ
mQ : finite
J=j+1/2 HQS Doublet (j≠0)
J=j-1/2, j+1/2
(j≠0)
J=j-1/2
mQ → ∞
?
2. Mass spectrum of baryons with a heavy quark
SY, Sudoh, Yamaguchi, Ohkoda,
Hosaka, Hyodo, arXv:1304.5293
Examples
1. Non-exotic baryons
2. Exotic baryons
3. Heavy meson in nuclear matter
2. Mass spectrum of baryons with a heavy quark
1. Non-exotic baryons (charm baryons)
Quark Model
Roberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
野海・安井 “J-PARC高運動量ビームラインで拓く
新しいハドロン・原子核物理” 原子核研究
2. Mass spectrum of baryons with a heavy quark
1. Non-exotic baryons (charm baryons)
HQS Singlet
Quark Model
Roberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
野海・安井 “J-PARC高運動量ビームラインで拓く
新しいハドロン・原子核物理” 原子核研究
2. Mass spectrum of baryons with a heavy quark
1. Non-exotic baryons (charm baryons)
野海・安井 “J-PARC高運動量ビームラインで拓く
新しいハドロン・原子核物理” 原子核研究
HQS Singlet
Quark Model
Roberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
PDG2012
2. Mass spectrum of baryons with a heavy quark
1. Non-exotic baryons (charm baryons)
野海・安井 “J-PARC高運動量ビームラインで拓く
新しいハドロン・原子核物理” 原子核研究
多数の未知の状態 !!
HQS Singlet
Quark Model
Roberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
PDG2012
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).
HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
P(*)
π
N
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).
HQS Doublet
Light Spin-Complex “qN” (1+) is commonly contained.
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
P(*)=(Qq)spin 0 (1)
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
Degrees of
degeneracy = 3
2
P(*)=(Qq)spin 0 (1)
1
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
Degrees of
degeneracy = 3
2
P(*)=(Qq)spin 0 (1)
1
In-medium mass of P = In medium mass of P*
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
Degrees of
degeneracy = 3
2
P(*)=(Qq)spin 0 (1)
1
In-medium mass of P = In medium mass of P*
HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
P(*)=(Qq)spin 0 (1)
In-medium mass of P = In medium mass of P*
HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
3. P(*) meson in nuclear matter
P(*)=(Qq)spin 0 (1)
In-medium mass of P = In medium mass of P*
HQS Doublet
Light Spin-Complex “qNN-1” (1/2+) is commonly contained.
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
T
2x1012 K
Quark-Gluon Plasma
Early Universe
Heavy Ion Collisions
Confinement
Deconfinement
Gas
Cluster
Nuclear
Matter
Strange
Matter
Color Superconductivity
ρ
Neutron Stars
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
Colored Object ?
T
in quarkyoic phase,
color superconductivity, ...
2x1012 K
Quark-Gluon Plasma
Early Universe
Heavy Ion Collisions
Confinement
Deconfinement
Gas
Cluster
Nuclear
Matter
Strange
Matter
Color Superconductivity
ρ
Neutron Stars
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
Light Spin-Complex
T
in heavy hadron
2x1012 K
Quark-Gluon Plasma
Early Universe
Heavy Ion Collisions
Confinement
Deconfinement
Gas
Cluster
Nuclear
Matter
Strange
Matter
Color Superconductivity
ρ
Neutron Stars
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
Light Spin-Complex
T
in heavy hadron
2x1012 K
Quark-Gluon Plasma
Early Universe
Heavy Ion Collisions
Connection by charm
Confinement Deconfinement
(bottom) quark?
Gas
Cluster
Nuclear
Matter
Strange
Matter
Color Superconductivity
ρ
Neutron Stars
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
3. Anti-D (B) meson in nuclear medium
Let us talk more about 1/M expansion
for heavy meson P(*) in nuclear matter!
P(*)=(Qq)spin 0 (1)
SY and Sudoh, arXiv:1308:0098 [hep-ph]
3. Anti-D (B) meson in nuclear medium
In-medium
Heavy Quark Effective Theory
(HQET)
3. Anti-D (B) meson in nuclear medium
Heavy quark effective theory (HQET) 1/mQ expansion
Light quarks & gluons
HQET
Qv
Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)
rest frame
Matrix elements
LO
HQS conserved
NLO O(1/mQ)
HQS broken
HQS = Heavy quark symmetry
scale anomaly
chromoelectric gluon
chromomagnetic gluon
3. Anti-D (B) meson in nuclear medium
Heavy quark effective theory (HQET) 1/mQ expansion
Light quarks & gluons
HQET
Qv
Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)
rest frame
Matrix elements
LO
HQS conserved
NLO O(1/mQ)
HQS broken
HQS = Heavy quark symmetry
scale anomaly
chromoelectric gluon
chromomagnetic gluon
3. Anti-D (B) meson in nuclear medium
Heavy quark effective theory (HQET) 1/mQ expansion
j-1/2
λ2 : O(1/mQ)
j-1/2
Mass
j-1/2
λ2 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
j-1/2
Λ : O(mQ0) + λ1 : O(1/mQ)
mQ
vacuum
medium
3. Anti-D (B) meson in nuclear medium
Heavy quark effective theory (HQET) 1/mQ expansion
j-1/2
λ2 : O(1/mQ)
j-1/2
Mass
j-1/2
λ2 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
j-1/2
Λ : O(mQ0) + λ1 : O(1/mQ)
mQ
vacuum
medium
Λ , λ1 and λ2 change in medium.
3. Anti-D (B) meson in nuclear medium
Heavy quark effective theory (HQET) 1/mQ expansion
j-1/2
λ2 : O(1/mQ)
j-1/2
Mass
j-1/2
λ2 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
j-1/2
Λ : O(mQ0) + λ1 : O(1/mQ)
mQ
vacuum
medium
Λ , λ1 and λ2 change in medium.
Gluon fields change in medium.
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory
(HMET)
3. Anti-D (B) meson in nuclear medium
HQET
1/mQ expansion
(mQ : heavy quark mass)
HMET
1/M expansion
(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET
1/mQ expansion
(mQ : heavy quark mass)
HMET
1/M expansion
(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET
1/mQ expansion
(mQ : heavy quark mass)
HMET
1/M expansion
(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET
1/mQ expansion
(mQ : heavy quark mass)
HMET
1/M expansion
(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
P(*)=(Qq)spin 0 (1)
vector meson
pseudoscalar meson
Spin degeneracy at LO
four-velocity + residual momentum
1/M correction (NLO) : uncertainty of four-velocity or residual momentum
(change of frame with v to frame with w)
Hv(x)
Hw(x)
v
w
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
P(*)=(Qq)spin 0 (1)
vector meson
pseudoscalar meson
Spin degeneracy at LO
four-velocity + residual momentum
1/M correction (NLO) : uncertainty of four-velocity or residual momentum
(change of frame with v to frame with w)
Hv(x)
v
p/M
Hw(x)
w
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS conserved (Γ=1, iγ5, γμ)
O(1/M0) or O(1/M1)
HQSS=Heavy quark spin symmetry
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS broken (Γ=γμγ5, σμν)
smaller than or equal to O(1/M1)
HQSS=Heavy quark spin symmetry
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS conserved
O(1/M0) or O(1/M1)
HQSS broken
O(1/M1)
HQSS=Heavy quark spin symmetry
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET
Kitazawa, Kurimoto, PLB323, 65 (1994)
P-P* mass splitting
Axial-vector current
by pions
H
pion
axial-current coupling g1, g1/M, g2/M
H
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? --Kitazawa, Kurimoto, PLB323, 65 (1994)
LO
NLO
NLO
Lattice QCD simulations by Detmold, Lin, Meinel, PRD.85, 114508 (2012)
g
g=0.4-0.5
3. Anti-D (B) meson in nuclear medium
Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? --Kitazawa, Kurimoto, PLB323, 65 (1994)
LO
NLO
NLO
Decay width of D* → Dπ (PDG2012)
Constraint on g1 and g2
We assume g1=0 (conclusion is insensitive to g1)
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07) for g=0.5 (Set 1)
(0.4, 0, -0.17) for g=0.4 (Set 2)
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N
N-1
N
N-1
N
N-1
1/M corrections
from HMET
Cf. Λ-Σ mixing in
nuclear matter
anti-D meson
anti-D* meson
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N
N-1
N
N-1
N
N-1
1/M corrections
from HMET
Cf. Λ-Σ mixing in
nuclear matter
anti-D meson
anti-D* meson
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N
N-1
N
N-1
N
N-1
1/M corrections
from HMET
Cf. Λ-Σ mixing in
nuclear matter
anti-D meson
anti-D* meson
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N
N-1
N
N-1
N
N-1
1/M corrections
from HMET
Cf. Λ-Σ mixing in
nuclear matter
anti-D meson
anti-D* meson
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N
N-1
N
N-1
N
N-1
1/M corrections
from HMET
Cf. Λ-Σ mixing in
nuclear matter
anti-D meson
anti-D* meson
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly chromoelectric
gluon
in QCD
chromomagnetic
gluon
at normal density
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
scale anomaly in QCD
chromoelectric gluon
chromomagnetic gluon
at normal density
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
scale anomaly in QCD
chromoelectric gluon
chromomagnetic gluon
at normal density
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
at normal density
scale anomaly in QCD
chromoelectric gluon
chromomagnetic gluon
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
(0.4, 0, -0.17)
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
scale anomaly in QCD
→ suppressed
normal density
chromoelectric gluon
→ enhanced
chromomagnetic gluon
→ suppressed
normal density
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
(0.4, 0, -0.17)
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
scale anomaly in QCD
→ suppressed
Energy contribution from gluons
becomes small. (Suppression of
quantum effects.)
normal density
chromoelectric gluon
→ enhanced
Kinetic energy becomes large,
due to the binding energy.
chromomagnetic gluon
→ suppressed
D-D* (B-B*) splitting become small.
(Extended brown muck dressed by
nucleon-hole pairs in medium?)
normal density
3. Anti-D (B) meson in nuclear medium
In-medium masses of anti-D(*) (B(*)) meson in nuclear matter
in-medium modifications of ...
@
mediu
m
@ vacuum
(0.4, 0, -0.17)
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
scale anomaly in QCD
→ suppressed
Energy contribution from gluons
becomes small. (Suppression of
quantum effects.)
about 0.9 suppression in gluon
condensate (Cohen et al. 1992)
normal density
chromoelectric gluon
→ enhanced
Kinetic energy becomes large,
due to the binding energy.
chromomagnetic gluon
→ suppressed
D-D* (B-B*) splitting become small.
(Extended brown muck dressed by
nucleon-hole pairs in medium?)
normal density
4. Discussion
Heavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
4. Discussion
Heavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Chromoelectric gluon
Exotic baryons (Qqqqq)
→ enhanced
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
4. Discussion
Heavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Chromomagnetic gluon
Exotic baryons (Qqqqq)
→ suppressed
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
5. Summary & perspectives
We discussed charm baryon mass spectrum.
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degenerate
mass levels.
- Non-exotic baryons
- Exotic baryons (P(*)N)
- P(*) meson in nuclear matter
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degenerate
mass levels.
- Non-exotic baryons
- Exotic baryons (P(*)N)
- P(*) meson in nuclear matter
By probing of P(*) meson mass in nuclear matter, we find ...
(1) Scale anomaly from QCD is suppressed.
(2) Chromoelectric gluons are enhanced.
(3) Chromomagnetic gluons are suppressed.
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degenerate
mass levels.
- Non-exotic baryons
- Exotic baryons (P(*)N)
- P(*) meson in nuclear matter
By probing of P(*) meson mass in nuclear matter, we find ...
(1) Scale anomaly from QCD is suppressed.
(2) Chromoelectric gluons are enhanced.
(3) Chromomagnetic gluons are suppressed.
Experimental studies for charmed nuclei at J-PARC are important.
5. Summary & perspectives
Path between hadron physics and nuclear physics
D(*)
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Heavy quark (spin) symmetry
π
π exchange interaction
N
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)
Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
Feshbach resonances
5. Summary & perspectives
Path between hadron physics and nuclear physics
D(*)
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Heavy quark (spin) symmetry
π
π exchange interaction
N
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)
Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
Feshbach resonances
Anti-D(*) and B(*) mesons in nuclear medium
Isospin polarization
Kondo effects
Spin degeneracy
SY and Sudoh, PRC87, 105202 (2013)
SY and Sudoh, PRC88, 015201 (2013)
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo,
arXv:1304.5293 [hepSpin-Complex
ph]
5. Summary & perspectives
Path between hadron physics and nuclear physics
D(*)
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Heavy quark (spin) symmetry
π
π exchange interaction
N
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)
Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
Feshbach resonances
Anti-D(*) and B(*) mesons in nuclear medium
Isospin polarization
Kondo effects
Spin degeneracy
SY and Sudoh, PRC87, 105202 (2013)
SY and Sudoh, PRC88, 015201 (2013)
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo,
arXv:1304.5293 [hepSpin-Complex
ph]
Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium
gluon
SY and Sudoh, arXiv:1308:0098 [hepph]
Chromoelectric & chromomagnetic
gluons probed by a heavy quark
Qv
Ea, Ba
5. Summary & perspectives
Path between hadron physics and nuclear physics
D(*)
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Heavy quark (spin) symmetry
π
π exchange interaction
N
SY and Sudoh, PRD80, 034008 (2009)
Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)
Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
Feshbach resonances
Anti-D(*) and B(*) mesons in nuclear medium
Isospin polarization
Kondo effects
Spin degeneracy
SY and Sudoh, PRC87, 105202 (2013)
SY and Sudoh, PRC88, 015201 (2013)
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo,
arXv:1304.5293 [hepSpin-Complex
ph]
Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium
gluon
SY and Sudoh, arXiv:1308:0098 [hepph]
Chromoelectric & chromomagnetic
gluons probed by a heavy quark
Qv
Ea, Ba
Heavy quarks connect QCD and nuclear physics!!
5. Summary & perspectives
Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
12
12
anti-D C (Λc C)
thr.
B.E.
e.s.
J+1/2
J-1/2
g.s.
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)
5. Summary & perspectives
Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
gluon
12
12
anti-D C (Λc C)
thr.
Qv
Ea, Ba
B.E.
e.s.
J+1/2
J-1/2
g.s.
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)
→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)
scale anomaly, chromoelectric gluon, chromomagnetic gluon
for each s.p.s.
Let’s probe spin dynamics by charm hadrons!
5. Summary & perspectives
Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
gluon
12
12
anti-D C (Λc C)
thr.
Qv
Ea, Ba
B.E.
e.s.
J+1/2
J-1/2
g.s.
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)
→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)
scale anomaly, chromoelectric gluon, chromomagnetic gluon
for each s.p.s.
Then, we can approach gluon dynamics !!!