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Charm hadrons in nuclear medium

Charm hadrons in nuclear medium. arXiv:1308:0098 [ hep -ph]. S. Yasui (KEK). K. Sudoh ( Nishogakusha Univ.). “ Hadron in nucleus” workshop@YITP , 31 Nov. – 2 Dec. 2013. Contents. 1. Introduction to charm ( bottom ) nuclei 2. Mass formula with 1/m Q expansion

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Charm hadrons in nuclear medium

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  1. Charm hadrons in nuclear medium arXiv:1308:0098 [hep-ph] S. Yasui (KEK) K. Sudoh (Nishogakusha Univ.) “Hadron in nucleus” workshop@YITP, 31 Nov. – 2 Dec. 2013

  2. Contents • 1. Introduction to charm (bottom) nuclei • 2. Mass formula with 1/mQ expansion 3. Anti-D (B) meson in nuclearmedium • - Heavy mesoneffectivetheorywith 1/M corretions 4. Summary & perspectives

  3. 1. Introduction to charm (bottom) nuclei D(*) (B(*)) meson in nuclear matter → L. Tolos A. Yokota Y. Yamaguchi K. Suzuki 1. D (B) meson and nucleon interaction 2. Modifications of D (B) meson chiral condensate, gluon condensate, ... 3. Modifications of nuclear structure glue-like role? Cf. Kondo effect K.Sudoh, S.Y., PRC88, 015201 (2013)

  4. 1. Introduction to charm (bottom) nuclei D(*) (B(*)) meson in nuclear matter → L. Tolos A. Yokota Y. Yamaguchi K. Suzuki SY and Sudoh, PRC87, 105202 (2013) Binding energy of D(*) (B(*)) meson in nuclear matter (MeV) Perturbation by pion exchanges Coupled-channel models with contact interactions Quark-meson coupling model QCD sum rules Mean field models

  5. 1. Introduction to charm (bottom) nuclei D(*) (B(*)) meson in nuclear matter → L. Tolos A. Yokota Y. Yamaguchi K. Suzuki 1. D (B) meson and nucleon interaction 2. Modifications of D (B) meson chiral condensate, gluon condensate, ... 3. Modifications of nuclear structure glue-like role? Cf. Kondo effect K.Sudoh, S.Y., PRC88, 015201 (2013)

  6. 1. Introduction to charm (bottom) nuclei D(*) (B(*)) meson in nuclear matter → L. Tolos A. Yokota Y. Yamaguchi K. Suzuki 1. D (B) meson and nucleon interaction 2. Modifications of D (B) meson chiral condensate, gluon condensate, ... 3. Modifications of nuclear structure glue-like role? 4. Probe for “gluon dynamics” Cf. Kondo effect K.Sudoh, S.Y., PRC88, 015201 (2013) New from heavy quark!

  7. 2. Mass formula with 1/mQ expansion Heavy Quark Effective Theory (HQET)

  8. 2. Mass formula with 1/mQ expansion Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons HQET Qv

  9. 2. Mass formula with 1/mQ expansion Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons Mass of heavy meson H containing a heavy quark Q (in vacuum) rest frame HQET Qv

  10. 2. Mass formula with 1/mQ expansion Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons Mass of heavy meson H containing a heavy quark Q (in vacuum) rest frame Matrix elements LO Bigi, Shifman, Uraltsev, Vainshtein, PRD52, 196 (1995) scale anomaly Neubert, PLB322, 419 (1994) HQET “Virial theorem” chromoelectric gluon NLO O(1/mQ) Qv chromomagnetic gluon

  11. 3. Anti-D (B) meson in nuclear medium In-medium Heavy Quark Effective Theory (HQET)

  12. 3. Anti-D (B) meson in nuclear medium Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ) rest frame Matrix elements LO scale anomaly HQET chromoelectric gluon NLO O(1/mQ) Qv chromomagnetic gluon

  13. 3. Anti-D (B) meson in nuclear medium Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ) rest frame Matrix elements LO scale anomaly HQET chromoelectric gluon NLO O(1/mQ) Qv chromomagnetic gluon

  14. 3. Anti-D (B) meson in nuclear medium Heavy quark effective theory (HQET) 1/mQ expansion Light quarks & gluons 1/mQ Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ) rest frame Matrix elements LO scale anomaly HQET chromoelectric gluon NLO O(1/mQ) Qv chromomagnetic gluon

  15. 3. Anti-D (B) meson in nuclear medium Gluon fields change in medium. Λ , λ1 and λ2 change in medium. gluon Ea, Ba Q

  16. 3. Anti-D (B) meson in nuclear medium Non-perturbative dynamics by light quarks and gluons?? Heavy meson effective theory (HMET) LO + NLO

  17. 3. Anti-D (B) meson in nuclear medium 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(*)=(Qq)spin 0 (1) Hw(x) w Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)

  18. 3. Anti-D (B) meson in nuclear medium 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 P(*)=(Qq)spin 0 (1) Hw(x) w Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)

  19. 3. Anti-D (B) meson in nuclear medium Heavy meson effective theory with 1/M corrections Axial-currents composed by Hv :

  20. 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

  21. 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

  22. 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

  23. 3. Anti-D (B) meson in nuclear medium 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. 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 pion H axial-current coupling g1, g1/M, g2/M H

  25. 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

  26. 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 not qualitatively changed.) ( 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. 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 Cf. Λ-Σ mixing in nuclear matter anti-D meson anti-D* meson

  28. 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 Cf. Λ-Σ mixing in nuclear matter anti-D meson anti-D* meson Kitazawa, Kurimoto, PLB323, 65 (1994)

  29. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter g →g + (g1-g2)/M N N-1 N N-1 N N-1 1/M corrections from HMET g →g + (g1+g2)/M g →g + (g1+g2)/M Cf. Λ-Σ mixing in nuclear matter anti-D meson anti-D* meson Kitazawa, Kurimoto, PLB323, 65 (1994)

  30. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter ρ=0.17 fm-3

  31. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter ρ=0.17 fm-3 @ medium @ vacuum scale anomaly in QCD about 0.9 suppression in gluon condensate (T. Cohen et al. 1992) chromoelectric gluon chromomagnetic gluon

  32. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter ρ=0.17 fm-3 @ medium @ vacuum scale anomaly in QCD about 0.9 suppression in gluon condensate (T. Cohen et al. 1992) chromoelectric gluon chromomagnetic gluon

  33. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter ρ=0.17 fm-3 @ medium @ vacuum scale anomaly in QCD about 0.9 suppression in gluon condensate (T. Cohen et al. 1992) chromoelectric gluon chromomagnetic gluon

  34. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter @ medium @ vacuum (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 Λ

  35. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter @ medium @ vacuum (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 λ1 → enhanced Kinetic energy becomes large, due to the binding energy. Λ normal density

  36. 3. Anti-D (B) meson in nuclear medium In-medium masses of anti-D(*) (B(*)) meson in nuclear matter @ medium @ vacuum (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 λ1 → enhanced Kinetic energy becomes large, due to the binding energy. chromomagnetic gluon λ2 → suppressed Λ D-D* (B-B*) splitting become small. normal density

  37. 3. Anti-D (B) meson in nuclear medium Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc) anti-D12C (Λc12C) thr. B.E. j+1/2 e.s. j-1/2 g.s.

  38. 3. Anti-D (B) meson in nuclear medium Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc) Gluon dynamics can be probed for each s.p.s. !? anti-D12C (Λc12C) thr. B.E. j+1/2 e.s. s.p.s. (n2S+1LJ) of anti-D(*) (Λc) j-1/2 →Λ, λ1, λ2(mQ) @n2S+1LJ scale anomaly, chromoelectric gluon, chromomagnetic gluon for each s.p.s. g.s. gluon Ea, Ba Q

  39. 3. Anti-D (B) meson in nuclear medium Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc) Gluon dynamics can be probed for each s.p.s. !? anti-D12C (Λc12C) thr. B.E. j+1/2 e.s. s.p.s. (n2S+1LJ) of anti-D(*) (Λc) j-1/2 →Λ, λ1, λ2(mQ) @n2S+1LJ scale anomaly, chromoelectric gluon, chromomagnetic gluon for each s.p.s. g.s. gluon Heavy hadron mass spectrum Gluon dynamics Ea, Ba Q

  40. 3. Anti-D (B) meson in nuclear medium Cf. Yamaguchi’s presentation Few-body calculations chromoelectric gluon chromomagnetic gluon → suppressed → enhanced Two-body S.Y., K.Sudoh, Phys. Rev. D80, 034008 (2009) Y.Yamaguchi, S.Ohkoda, S.Y., A.Hosaka, Phys. Rev. D84, 014032 (2011); ibid. 85, 054003 (2013) Three-body Y.Yamaguchi, S.Y., A.Hosaka, arXiv:1309.4324 [nucl-th]

  41. 4. Summary & perspectives We considered 1/mQ expansion up to O(1/mQ). We discussed charm (bottom) hadron mass in nuclear medium. 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 and GSI-FAIR.

  42. 4. Summary & perspectives We considered 1/mQ expansion up to O(1/mQ). We discussed charm (bottom) hadron mass in nuclear medium. 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 and GSI-FAIR.

  43. 4. Summary & perspectives We considered 1/mQ expansion up to O(1/mQ). We discussed charm (bottom) hadron mass in nuclear medium. 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 and GSI-FAIR.

  44. 4. Summary & perspectives We considered 1/mQ expansion up to O(1/mQ). We discussed charm (bottom) hadron mass in nuclear medium. 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 and GSI-FAIR. “Gluons” can be researched in charm/bottom systems !!

  45. Quarks & Gluons Chiral symmetry m→0

  46. Quarks & Gluons Heavy quark symmetry Chiral symmetry m→0 m→∞

  47. D and nucleon D and nucleon different D*+N (2947 MeV) D*+N (2947 MeV) D+N (2803 MeV) D+N (2803 MeV) Only DN and D*N channel Σc(2800) 1(??) π+Σc* (2658 MeV) C<0 Λc(2625) 0(3/2-) C>0 Λc(2595) 0(1/2-) π+Σc (2593 MeV) `Exoticchannel‘ `Baryonchannel‘ cqqqq cqqqq SY and Sudoh, PRD80, 034008 (2009) Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011) Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012) What is D/D-nucleon interaction ? Yamaguchi, Ohkoda, SY, Hosaka, arXiv:1301.4557 [hep-ph]

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