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青木慎也教授 還暦記念研究会 2019年12月20日@ YITP

場の量子論における非摂動論的手法と素粒子物理学への応用 初田哲男(理研iTHEMS)

バリオン間相互作用の現在

  • 理論、計算、実験、観測 ‒
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Since then, 47 original papers (90 papers including proceedings)

First Joint Paper in 1992 (we were both at Stony Brook)

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Plan of this Talk

  • 1. 現象論的核力
  • 2. バリオン間相互作用のQCD計算
  • 3. LHC実験での検証
  • 4. 重力波観測(LIGO/Virgo)とX線観測(NICER)
  • 5. まとめ
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2p, 3p, ...

Ø Multi-pion

Taketani et al. (1950-)

Ø One-pion exchange

Yukawa (1935)

p

repulsive core

Ø Repulsive core

Jastrow (1951) Nambu (1957)

r “現象論的核力”の歴史

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Ø EFT

Weinberg (1990)

r Ø 高精度核力 (1990-)

Bonn group Nijmegen group Argonne group Ehime group Funabashi group Kyoto group …

現象論的核力の現在

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高精度現象論的核力と格子QCD

“high precision” NN interactions # of parameters CD Bonn (p space) 38 AV18 (r space) 40 EFT in N3LO (nπ+contact) 24 Ø NN int.: about 4500 np and pp scatt. data Ø NNN, YN, YY : data very limited Ø YNN, YYN, YYY : data vey very limited

  • R. Machleidt, arXiv:0704.0807 [nucl-th]

QCD has only four parameters : mu, md, ms, αs(μ)

  • N. Ishii, S.Aoki and T. Hatsuda,
  • Phys. Rev. Lett. 99 (2007)
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京速シンポ@つくば 2006.4.05

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格子QCDによる 核力計算結果 の初公開 (Lattice2006)

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格子QCDによる核力の初論文 (2007) Received 11.28.2006 à accepted 7.12.2007

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HAL QCD Collaboration (2009-)

(KEK)

  • T. Aoyama

(RIKEN)

  • T. Doi, T. M. Doi, S. Gongyo,
  • T. Hatsuda, T. Iritani, T. Sugiura

(Nihon)

  • T. Inoue

(YITP)

  • Y. Akahoshi, S. Aoki,
  • T. Miyamato, K. Sasaki

(RCNP)

  • Y. Ikeda, N. Ishii, K. Murano,
  • H. Nemura

(Birjand)

  • F. Etminan

18

As of today, 22 original papers (77 papers including proceedings)

  • Baryon-baryon interactions
  • Meson-Meson interactions
  • Meson-Baryon interactions
  • Exotic hadrons
  • Thee-body force
  • Phenomenological applications
  • Theoretical developments
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HAL QCD Method

Two-baryon observables

(phase shift, binding energy)

Iritani+ [HAL QCD Coll.], JHEP 1610 (2016) 101 PRD 96 (2017) 034521 PRD 99 (2019) 014514 JHEP 1903 (2019) 007

R(τ)

Lattice QCD

r

U(r,r’)

Luescher Method

理論の進展

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京コンピュータによる大規模計算

  • Small lattice spacing: a = 0.085 fm
  • Large lattice volume: L = 8.1 fm
  • (2+1)-flavor dynamical quarks

Mπ = 146 MeV, MK = 525 MeV, MN = 964 MeV K computer (11 Pflops) FY2011-2019

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  • T. Inoue+ [HAL QCD Coll.], AIP Conference Proceedings 2130 (2019)

8 x 8 = 27 + 8s + 1 + 10* + 10 + 8a

バリオン相互作用のフレーバー依存性

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  • T. Inoue+ [HAL QCD Coll.], AIP Conference Proceedings 2130 (2019)

8 x 8 = 27 + 8s + 1 + 10* + 10 + 8a

バリオン相互作用のフレーバー依存性

BB interactions at short distance: (i) flavor dependent (ii) compatible with constituent quark model

c.f. M. Oka, K. Shimizu and K. Yazaki,

  • Prog. Theor. Phys. Suppl. 137 (2000) 1-20
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S=-2 systems

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Coupled Channel S=-2 system (1S0) I=0, JP=0+

  • K. Sasaki+ [HAL QCD Coll.]

arXiv: 1912.08630 [hep-lat]

Large NΞ attraction Small ΛΛ attraction Short-range NΞ-ΛΛ coupling Short-range NΞ-ΛΛ coupling

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Coupled Channel S=-2 system (1S0)

  • K. Sasaki+ [HAL QCD Coll.]

arXiv: 1912.08630 [hep-lat]

I=0, JP=0+ ・ Small attraction between Λ and Λ ・ No bound H-dibaryon ・ Large attraction between N and Ξ

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Femtoscopic correlation analysis of NΞ at LHC

ALICE, Coll., Phys.Rev.Lett. 123 (2019)

ALICE

p Ξ-

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ALICE Coll., Phys. Lett. B797 (2019)

Femtoscopic correlation analysis of ΛΛ at LHC

Effective range (fm)

  • (Scattering length)-1 (fm-1)
  • K. Sasaki+ [HAL QCD Coll.]

arXiv: 1912.08630 [hep-lat]

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S=-3 and S=-6 systems

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Gongyo+ [HAL QCD Coll.], PRL 120 (2018) 212001

S=-3

Iritani+ [HAL QCD Coll.], Phys.Lett. B792 (2019) 284

S=-6

ΩΩ (1S0) NΩ (5S3)

NΩ (5S2) ΩΩ (1S0) NΩ (5S2) ΩΩ (1S0)

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ユニタリー領域に新しいダイバリオン?

Gongyo+ [HAL QCD Coll.], PRL 120 (2018) 212001 Iritani+ [HAL QCD Coll.], PLB 792 (2019) 284

RHIC, LHC J-PARC, FAIR

24

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  • Proof of concept and realistic simulations
  • LQCD prediction vs. experimental data

2011-2019 : past supercomputer(s), e.g. “K” (11 Pflops)

  • Precision data for S=0, -1
  • Spin-orbit force, three body force, …

2021- : new supercomputer(s), e.g. FUGAKU (100 x “K”)

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重力波観測とX線観測 (NICERの衝撃)

Fig:G. Baym, S. Furusawa, T. Hatsuda, T. Kojo, H. Togashi, Astrophysical Journal 885, 42 (2019)

GW170817

GW170817

NICER on ISS

J0030+0451

強い 3体力??

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🎊 青木さん 還暦おめでとうございます 🎊 ますますのご活躍をよろしくお願いします!