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反 D 中間子をふくむチャーム原子核. arXiv:1308.0098 [ hep -ph]. 安井 繁宏 (KEK). 共同研究者 須藤 和敬 ( 二松学舎大学 ). KEK (東海) 研究会「原子核媒質中のハドロン研究 = 魅力と課題 = 」 @ 5-6 Aug . 2013. Contents. 1. Introduction to charm ( bottom ) nuclei 2 . Heavy h adron mass and gluon field - PowerPoint PPT Presentation
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反 D 中間子をふくむチャーム原子核安井 繁宏
(KEK)
arXiv:1308.0098 [hep-ph]
KEK (東海)研究会「原子核媒質中のハドロン研究 = 魅力と課題 = 」 @5-6 Aug. 2013
共同研究者須藤 和敬( 二松学舎大学 )
1. Introduction to charm (bottom) nuclei2. Heavy hadron mass and gluon field - Heavy quark effective theory (HQET) with 1/mQ corrections
3. Heavy meson effective theory with 1/M corretions4. Anti-D (B) meson in nuclear medium5. Discussion6. Summary & perspectives
Contents
チャーム原子核の魅力とは? 課題とは?
1. Introduction
D(cq)
Charm hadrons in medium
Charmed nucleiD nuclei (C<0)
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)SY and Sudoh, PRC87, 105202 (2013)
- What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei
- Questions
Light degrees of freedom “q”→ Affected by medium effect(Partial restoration of the chiral symmetry breaking?)
Bando, Nagata, PTP69, 557 (1983)Brodsky, Schmidt, Teramond PRL64, 1011 (1990)Tsushima et al.PRC59, 2824 (1999)
No annihilation/absorption→ Clean probe as mesic nuclei!・ Are they really stable states?
・ How can be produced in experiments?・ What are the new and interesting things?
1. Introduction
D(cq)
Charm hadrons in medium
Charmed nucleiD nuclei (C<0)
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)SY and Sudoh, PRC87, 105202 (2013)
- What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei
- Questions
Light degrees of freedom “q”→ Affected by medium effect(Partial restoration of the chiral symmetry breaking?)
Bando, Nagata, PTP69, 557 (1983)Brodsky, Schmidt, Teramond PRL64, 1011 (1990)Tsushima et al.PRC59, 2824 (1999)
No annihilation/absorption→ Clean probe as mesic nuclei!・ Are they really stable states?
・ How can be produced in experiments?・ What are the new and interesting things?
No annihilation/absorption→ Clean probe as mesic nuclei!
1. Introduction
D(cq)
Charm hadrons in medium
Charmed nucleiD nuclei (C<0)
- What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei
Light degrees of freedom “q”→ Affected by medium effect(Partial restoration of the chiral symmetry breaking?)
Bando, Nagata, PTP69, 557 (1983)Brodsky, Schmidt, Teramond PRL64, 1011 (1990)Tsushima et al.PRC59, 2824 (1999)
Quark-mesoncoupling model QCD sum rules Mean field models
Coupled-channel modelswith contact interactions
Perturbation by pion exchanges
- Questions SY and Sudoh, PRC87, 105202 (2013)
1. Introduction
D(cq)
Charm hadrons in medium
Charmed nucleiD nuclei (C<0)
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)SY and Sudoh, PRC87, 105202 (2013)
- What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei
- Questions
Light degrees of freedom “q”→ Affected by medium effect(Partial restoration of the chiral symmetry breaking?)
Bando, Nagata, PTP69, 557 (1983)Brodsky, Schmidt, Teramond PRL64, 1011 (1990)Tsushima et al.PRC59, 2824 (1999)
What are the “interesting” and “new” roles of heavy hadrons in medium at finite density?
No annihilation/absorption→ Clean probe as mesic nuclei!・ Are they really stable states?
・ How can be produced in experiments?・ What are the new and interesting things?
1. Introduction
D(cq)
Charm hadrons in medium
Charmed nucleiD nuclei (C<0)
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)SY and Sudoh, PRC87, 105202 (2013)
- What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei
- Questions
Light degrees of freedom “q”→ Affected by medium effect(Partial restoration of the chiral symmetry breaking?)
Bando, Nagata, PTP69, 557 (1983)Brodsky, Schmidt, Teramond PRL64, 1011 (1990)Tsushima et al.PRC59, 2824 (1999)
No annihilation/absorption→ Clean probe as mesic nuclei!・ Are they really stable states?
・ How can be produced in experiments?・ What are the new and interesting things?
Conclusion in this talk
Heavy hadrons probe gluon dynamics in medium.
2. Heavy hadron mass and gluon field
Heavy quark effective theory (HQET)
2. Heavy hadron mass and gluon fieldHeavy quark effective theory (HQET)
Effective heavy quark field (four-velocity v)
Covariant derivative
Tensor field of gluon(chromoelectric G0i, chromomagnetic Gij)
Qv
Light quarks & gluons
HQET
1/mQ expansion
2. Heavy hadron mass and gluon fieldHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in vacuum)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry, HQFS=Heavy quark flavor symmetry, HQSS=Heavy quark spin symmetry
rest frame
HQFS conservedHQSS conserved
HQFS brokenHQSS conserved
HQFS brokenHQSS broken
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elementsD-D* (B-B*) mass approximate degeneracy
2. Heavy hadron mass and gluon fieldHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in vacuum)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry
rest frame
Bigi, Shifman, Uraltsev, Vainshtein,PRD52, 196 (1995)
Neubert, PLB322, 419 (1994)“the virial theorem”
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elements
2. Heavy hadron mass and gluon fieldHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry
rest frame
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elements
2. Heavy hadron mass and gluon fieldHeavy quark effective theory (HQET)
ratios = matrix elements in medium at T and ρ matrix elements in vacuum
LOHQS conserved
NLO O(1/mQ)HQS broken
scale anomalyin QCD
chromomagneticgluon
chromoelectricgluon
in-medium modifications of ...
Probing gluon dynamics by hadrons with a heavy quark
Heavy meson effective theory (HMET)
3. Heavy meson effective theory with 1/M corr.
3. Heavy meson effective theory with 1/M corr.How are anti-D (B) mesons are modified in nuclear medium?
→ We use the heavy meson effective theory (HMET) with 1/M expansion.M: heavy hadron mass
Point 2. 1/mQ expansion (mQ=mc, mb).
Point 1. How can we calculate in-medium masses? (LQCD is not applicable.)
3. Heavy meson effective theory with 1/M corr.How are anti-D (B) mesons are modified in nuclear medium?
Point 2. 1/mQ expansion (mQ=mc, mb).
Point 1. How can we calculate in-medium masses? (LQCD is not applicable.)
→ We use the heavy meson effective theory (HMET) with 1/M expansion.M: heavy hadron mass
Point 2. → O(1/mQ0) = O(1/M0)
O(1/mQ1) = O(1/M1) From M=mQ+Λ+..., we obtain 1/M=1/mQ+...
Point 1. → Effective degrees of freedom in confinement phase are hadrons N N-1
3. Heavy meson effective theory with 1/M corr.How are anti-D (B) mesons are modified in nuclear medium?
We need the heavy meson effective Lagrangian with 1/M corrections.
Point 2. 1/mQ expansion (mQ=mc, mb).
→ We use the heavy meson effective theory (HMET) with 1/M expansion.M: heavy hadron mass
Point 2. → O(1/mQ0) = O(1/M0)
O(1/mQ1) = O(1/M1) From M=mQ+Λ+..., we obtain 1/M=1/mQ+...
Point 1. → Effective degrees of freedom in confinement phase are hadrons N N-1
Point 1. How can we calculate in-medium masses? (LQCD is not applicable.)
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
four-velocity + residual momentum
v
w
Hv(x)
Hw(x)
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
vector meson pseudoscalar meson Spin degeneracy at LO
1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)
four-velocity + residual momentum
v
w
Hv(x)
Hw(x)
p/M
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
vector meson pseudoscalar meson Spin degeneracy at LO
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS conserved (Γ=1, iγ5, γμ) HQSS=Heavy quark spin symmetryO(1/M0) or O(1/M1)
3. Heavy meson effective theory with 1/M corr.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. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
O(1/M0) or O(1/M1)
HQSS conserved
O(1/M1)
HQSS broken
HQSS=Heavy quark spin symmetry
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET Kitazawa, Kurimoto, PLB323, 65 (1994)
P-P* mass splitting
Axial-vector currentby pions
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---
LO NLO NLO
Lattice QCD simulations by Detmold, Lin, Meinel, PRD.85, 114508 (2012)
g
g=0.4-0.5
3. Heavy meson effective theory with 1/M corr.Heavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---
LO NLO NLO
Decay width of D* → Dπ (PDG2012)
( 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)
Constraint on g1 and g2
We assume g1=0 (conclusion is insensitive to g1)
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
anti-D meson anti-D* meson
1/M correctionsfrom HMET
Cf. Λ-Σ mixing
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
1/M correctionsfrom HMET
anti-D meson anti-D* meson
Cf. Λ-Σ mixing
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
at normal density
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ... at normal density
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ... at normal density
suppressed
enhanced
suppressed
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ...
→ suppressed
→ enhanced
→ suppressed
normal density
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
(0.4, 0, -0.17)
normal density
4. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ...
→ suppressed
→ enhanced
→ suppressed
Energy contribution from gluonsbecomes small. (Suppression ofquantum effects.)
Kinetic energy becomes large,due to the binding energy.
D-D* (B-B*) splitting become small.(Extended brown muck dressed by nucleon-hole pairs in medium?)
normal density
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
(0.4, 0, -0.17)
normal density
5. DiscussionHeavy 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)
5. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)Chromoelectric gluon→ enhanced
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
5. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)Chromomagnetic gluon→ suppressed
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
5. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)Chromomagnetic gluon→ suppressed
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
6. Summary & perspectives
Heavy meson masses give information about gluon dynamics.
We discuss in-medium masses of anti-D(*) and B(*) meson in nuclear matter.→ Heavy meson effective theory with 1/M expansion
We find in nuclear matter that ... (1) Scale anomaly from QCD is suppressed. (2) Chromoelectric gluons are enhanced. (3) Chromomagnetic gluons are suppressed.
We also discuss gluon dynamics in heavy baryons.
Experimental studies for charmed nuclei are important at J-PARC.
6. Summary & perspectivesThe (personal) path between hadron physics and nuclear physics
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Anti-D(*) and B(*) mesons in nuclear medium
Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
SY and Sudoh, PRC87, 105202 (2013)SY and Sudoh, PRC88, 015201 (2013)SY, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:xxxx.yyyyy.
Heavy quark (spin) symmetryπ exchange interaction
Isospin polarization
Feshbach resonances
Kondo effects
Chromoelectric & chromomagnetic gluons probed by a heavy quark
SY and Sudoh, arXiv:1308:0098 [hep-ph]
Do heavy quarks connect QCD and nuclear physics?
N
D(*)
π
Spin-Complex
Spin degeneracy
Qv
gluon
Ea, Ba
6. Summary & perspectivesGluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
B.E.
thr.anti-D12C (Λc
12C)
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)
scale anomaly, chromoelectric gluon, chromomagnetic gluonfor each s.p.s.
Qv
gluon
Ea, Ba
g.s.
e.s.J-1/2
J+1/2
魅力 = チャームクォーク、グルーオン、原子核を結ぶ課題 = で、どうやって作るの?
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