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反 D 中間子をふくむチャーム原子核

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

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反 D 中間子をふくむチャーム原子核

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  1. 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=」@5-6Aug. 2013

  2. Contents • 1. Introduction to charm (bottom) nuclei 2. Heavy hadron mass and gluon field - Heavy quark effective theory (HQET) with 1/mQ corrections 3. Heavy mesoneffectivetheorywith 1/M corretions 4. Anti-D (B) meson in nuclearmedium 5. Discussion 6. Summary & perspectives チャーム原子核の魅力とは？ 課題とは？

  3. 1. Introduction Charm hadrons in medium D(cq) - What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei Bando, Nagata, PTP69, 557 (1983) Brodsky, Schmidt, Teramond PRL64, 1011 (1990) Tsushima et al. PRC59, 2824 (1999) Light degrees of freedom “q” → Affected by medium effect (Partial restoration of the chiral symmetry breaking?) Charmed nuclei - Questions D nuclei (C<0) No annihilation/absorption → Clean probe as mesic nuclei! ・ Are they really stable states? ・ How can be produced in experiments? 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 the new and interesting things?

  4. 1. Introduction Charm hadrons in medium D(cq) - What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei Bando, Nagata, PTP69, 557 (1983) Brodsky, Schmidt, Teramond PRL64, 1011 (1990) Tsushima et al. PRC59, 2824 (1999) Light degrees of freedom “q” → Affected by medium effect (Partial restoration of the chiral symmetry breaking?) Charmed nuclei - Questions D nuclei (C<0) No annihilation/absorption → Clean probe as mesic nuclei! ・ Are they really stable states? ・ How can be produced in experiments? 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 the new and interesting things?

  5. 1. Introduction Charm hadrons in medium D(cq) - What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei Bando, Nagata, PTP69, 557 (1983) Brodsky, Schmidt, Teramond PRL64, 1011 (1990) Tsushima et al. PRC59, 2824 (1999) Light degrees of freedom “q” → Affected by medium effect (Partial restoration of the chiral symmetry breaking?) Charmed nuclei - Questions D nuclei (C<0) SY and Sudoh, PRC87, 105202 (2013) No annihilation/absorption → Clean probe as mesic nuclei! Perturbation by pion exchanges Coupled-channel models with contact interactions Quark-meson coupling model QCD sum rules Mean field models

  6. 1. Introduction Charm hadrons in medium D(cq) - What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei Bando, Nagata, PTP69, 557 (1983) Brodsky, Schmidt, Teramond PRL64, 1011 (1990) Tsushima et al. PRC59, 2824 (1999) Light degrees of freedom “q” → Affected by medium effect (Partial restoration of the chiral symmetry breaking?) Charmed nuclei - Questions D nuclei (C<0) No annihilation/absorption → Clean probe as mesic nuclei! ・ Are they really stable states? ・ How can be produced in experiments? 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 the new and interesting things? What are the “interesting” and “new” roles of heavy hadrons in medium at finite density?

  7. 1. Introduction Charm hadrons in medium D(cq) - What are charm hadrons in nuclei? C>0 Λc(cqq) nuclei C=0 J/Ψ(cc) nuclei C<0 D(cq) nuclei Bando, Nagata, PTP69, 557 (1983) Brodsky, Schmidt, Teramond PRL64, 1011 (1990) Tsushima et al. PRC59, 2824 (1999) Light degrees of freedom “q” → Affected by medium effect (Partial restoration of the chiral symmetry breaking?) Charmed nuclei - Questions D nuclei (C<0) No annihilation/absorption → Clean probe as mesic nuclei! ・ Are they really stable states? ・ How can be produced in experiments? 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 the new and interesting things? Conclusion in this talk Heavy hadrons probe gluon dynamics in medium.

  8. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET)

  9. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET) 1/mQ expansion Effective heavy quark field (four-velocity v) Covariant derivative Tensor field of gluon (chromoelectric G0i, chromomagneticGij) Light quarks & gluons HQET Qv

  10. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET) 1/mQ expansion Mass of heavy meson H containing a heavy quark Q (in vacuum) rest frame D-D* (B-B*) mass approximate degeneracy Matrix elements LO HQFS conserved HQSS conserved Light quarks & gluons HQS conserved HQFS broken HQSS conserved HQET NLO O(1/mQ) HQFS broken HQSS broken HQS broken Qv HQS = Heavy quark symmetry, HQFS=Heavy quark flavor symmetry, HQSS=Heavy quark spin symmetry

  11. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET) 1/mQ expansion Mass of heavy meson H containing a heavy quark Q (in vacuum) rest frame Matrix elements LO Bigi, Shifman, Uraltsev, Vainshtein, PRD52, 196 (1995) Light quarks & gluons HQS conserved Neubert, PLB322, 419 (1994) HQET “the virial theorem” NLO O(1/mQ) HQS broken Qv HQS = Heavy quark symmetry

  12. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET) 1/mQ expansion Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ) rest frame Matrix elements LO Light quarks & gluons HQS conserved HQET NLO O(1/mQ) HQS broken Qv HQS = Heavy quark symmetry

  13. 2. Heavy hadron mass and gluon field Heavy quark effective theory (HQET) matrix elements in medium at T and ρ matrix elements in vacuum ratios = in-medium modifications of ... LO scale anomaly in QCD HQS conserved chromoelectric gluon NLO O(1/mQ) chromomagnetic gluon HQS broken Probing gluon dynamics by hadrons with a heavy quark

  14. 3. Heavy meson effective theory with 1/M corr. Heavy meson effective theory (HMET)

  15. 3. Heavy meson effective theory with 1/M corr. How are anti-D (B) mesons are modified in nuclear medium? Point 1. How can we calculate in-medium masses? (LQCD is not applicable.) Point 2. 1/mQ expansion (mQ=mc, mb). → We use the heavy meson effective theory (HMET) with 1/M expansion. M: heavy hadron mass

  16. 3. Heavy meson effective theory with 1/M corr. How are anti-D (B) mesons are modified in nuclear medium? Point 1. How can we calculate in-medium masses? (LQCD is not applicable.) 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) Point 1. → Effective degrees of freedom in confinement phase are hadrons From M=mQ+Λ+..., we obtain 1/M=1/mQ+... N N-1

  17. 3. Heavy meson effective theory with 1/M corr. How are anti-D (B) mesons are modified in nuclear medium? Point 1. How can we calculate in-medium masses? (LQCD is not applicable.) 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) Point 1. → Effective degrees of freedom in confinement phase are hadrons From M=mQ+Λ+..., we obtain 1/M=1/mQ+... N N-1 We need the heavy meson effective Lagrangian with 1/M corrections.

  18. 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 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 Hw(x) w Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)

  19. 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 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)

  20. 3. Heavy meson effective theory with 1/M corr. Heavy meson effective theory with 1/M corrections Axial-currents composed by Hv :

  21. 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) O(1/M0) or O(1/M1) HQSS=Heavy quark spin symmetry

  22. 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

  23. 3. Heavy meson effective theory with 1/M corr. Heavy meson effective theory with 1/M corrections Axial-currents composed by Hv : HQSS conserved HQSS=Heavy quark spin symmetry O(1/M0) or O(1/M1) HQSS broken O(1/M1)

  24. 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 current by pions

  25. 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

  26. 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) 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)

  27. 4. 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 anti-D meson anti-D* meson

  28. 4. 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 anti-D meson anti-D* meson

  29. 4. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter chromoelectric gluon chromomagnetic gluon scale anomaly in QCD at normal density

  30. 4. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter in-medium modifications of ... at normal density scale anomaly in QCD chromoelectric gluon chromomagnetic gluon

  31. 4. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter in-medium modifications of ... at normal density scale anomaly in QCD suppressed chromoelectric gluon enhanced chromomagnetic gluon suppressed

  32. 4. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter in-medium modifications of ... (0.4, 0, -0.17) scale anomaly in QCD ( g, g1/MD, g2/MD ) = (0.5, 0, -0.07) → suppressed normal density chromoelectric gluon → enhanced chromomagnetic gluon → suppressed normal density

  33. 4. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter in-medium modifications of ... (0.4, 0, -0.17) scale anomaly in QCD ( g, g1/MD, g2/MD ) = (0.5, 0, -0.07) → 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

  34. 5. 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)

  35. 5. Discussion Heavy baryon with a heavy quark Non-exotic baryons (Qqq) Chromoelectric gluon → enhanced Exotic baryons (Qqqqq) SY and Sudoh, PRD80, 034008 (2009) Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)

  36. 5. Discussion Heavy baryon with a heavy quark Non-exotic baryons (Qqq) Chromomagnetic gluon → suppressed Exotic baryons (Qqqqq) SY and Sudoh, PRD80, 034008 (2009) Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)

  37. 5. Discussion Heavy baryon with a heavy quark Non-exotic baryons (Qqq) Chromomagnetic gluon → suppressed Exotic baryons (Qqqqq) SY and Sudoh, PRD80, 034008 (2009) Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)

  38. 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.

  39. 6. Summary & perspectives D(*) The (personal) path between hadron physics and nuclear physics Interaction between an anti-D(*) (B(*)) meson and a nucleon N Heavy quark (spin) symmetry SY and Sudoh, PRD80, 034008 (2009) Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011) Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012) π exchange interaction Spin degeneracy Feshbach resonances π Anti-D(*) and B(*) mesons in nuclear medium SY and Sudoh, PRC87, 105202 (2013) SY and Sudoh, PRC88, 015201 (2013) SY, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:xxxx.yyyyy. Isospin polarization Kondo effects Spin-Complex Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium gluon SY and Sudoh, arXiv:1308:0098 [hep-ph] Chromoelectric & chromomagnetic gluons probed by a heavy quark Ea, Ba Qv Do heavy quarks connect QCD and nuclear physics?

  40. 6. Summary & perspectives Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc) anti-D12C(Λc12C) thr. B.E. J+1/2 e.s. s.p.s. (n2S+1LJ) of anti-D(*) (Λc) J-1/2 → Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ) scale anomaly, chromoelectric gluon, chromomagnetic gluon for each s.p.s. g.s. gluon Ea, Ba 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？ Qv

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