バリオン間相互作用の現在 - 理論、計算、実験、観測 ‒ 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)
First Joint Paper in 1992 (we were both at Stony Brook) Since then, 47 original papers (90 papers including proceedings)
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
Ø One-pion exchange “現象論的核力”の歴史 Yukawa (1935) Ø Multi-pion Taketani et al. (1950-) r Ø Repulsive core Jastrow (1951) Nambu (1957) p 2 p , 3 p , ... repulsive core
現象論的核力の現在 Ø EFT Weinberg (1990) r Ø 高精度核力 (1990-) Bonn group Nijmegen group Argonne group Ehime group Funabashi group Kyoto group …
高精度現象論的核力と格子 QCD Ø NN int.: about 4500 np and pp scatt. data “high precision” NN interactions # of parameters CD Bonn (p space) 38 AV18 (r space) 40 EFT in N 3 LO (nπ+contact) 24 R. Machleidt, arXiv:0704.0807 [nucl-th] Ø NNN, YN, YY : data very limited Ø YNN, YYN, YYY : data vey very limited QCD has only four parameters : m u , m d , m s , α s (μ) N. Ishii, S.Aoki and T. Hatsuda, Phys. Rev. Lett. 99 (2007)
京速シンポ＠つくば 2006.4.05
格子 QCD による 核力計算結果 の初公開 （ Lattice2006)
格子 QCD による核力の初論文 (2007) Received 11.28.2006 à accepted 7.12.2007
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 • Baryon-baryon interactions • Meson-Meson interactions • Meson-Baryon interactions • Exotic hadrons • Thee-body force • Phenomenological applications • Theoretical developments As of today, 22 original papers (77 papers including proceedings)
Lattice QCD Luescher HAL QCD Method Method R (τ) r 理論の進展 U ( r , r ’) Iritani+ [HAL QCD Coll.], JHEP 1610 (2016) 101 PRD 96 (2017) 034521 PRD 99 (2019) 014514 JHEP 1903 (2019) 007 Two-baryon observables （ phase shift, binding energy)
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 M π = 146 MeV, M K = 525 MeV, M N = 964 MeV K computer (11 Pflops) FY2011-2019
バリオン相互作用のフレーバー依存性 T. Inoue+ [HAL QCD Coll.], AIP Conference Proceedings 2130 (2019) 8 x 8 = 27 + 8 s + 1 + 10 * + 10 + 8 a
バリオン相互作用のフレーバー依存性 T. Inoue+ [HAL QCD Coll.], AIP Conference Proceedings 2130 (2019) 8 x 8 = 27 + 8 s + 1 + 10 * + 10 + 8 a 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
S=-2 systems
K. Sasaki+ [HAL QCD Coll.] Coupled Channel S=-2 system ( 1 S 0 ) arXiv: 1912.08630 [hep-lat] NΞ-ΛΛ coupling Short-range attraction Small ΛΛ I=0, J P =0 + NΞ-ΛΛ coupling Short-range attraction Large NΞ
K. Sasaki+ [HAL QCD Coll.] Coupled Channel S=-2 system ( 1 S 0 ) arXiv: 1912.08630 [hep-lat] I=0, J P =0 + ・ Small attraction between Λ and Λ ・ No bound H-dibaryon ・ Large attraction between N and Ξ
Femtoscopic correlation analysis of NΞ at LHC ALICE, Coll., Phys.Rev.Lett. 123 (2019) p Ξ - ALICE
Femtoscopic correlation analysis of ΛΛ at LHC ALICE Coll., Phys. Lett. B797 (2019) Effective range (fm) - (Scattering length) -1 (fm -1 ) K. Sasaki+ [HAL QCD Coll.] arXiv: 1912.08630 [hep-lat]
S=-3 and S=-6 systems
Gongyo+ [HAL QCD Coll.], Iritani+ [HAL QCD Coll.], S=-6 S=-3 Phys.Lett. B792 (2019) 284 PRL 120 (2018) 212001 ΩΩ ( 1 S 0 ) ΩΩ ( 1 S 0 ) NΩ ( 5 S 3 ) NΩ ( 5 S 2 ) ΩΩ ( 1 S 0 ) NΩ ( 5 S 2 )
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
2011-2019 : past supercomputer(s), e.g. “K” (11 Pflops) • Proof of concept and realistic simulations • LQCD prediction vs. experimental data 2021- : new supercomputer(s), e.g. FUGAKU (100 x “K”) • Precision data for S=0, -1 • Spin-orbit force, three body force, …
重力波観測と X 線観測 （ NICER の衝撃） GW170817 J0030+0451 NICER on ISS 強い 3 体力？？ GW170817 Fig ： G. Baym, S. Furusawa, T. Hatsuda, T. Kojo, H. Togashi, Astrophysical Journal 885, 42 (2019)
🎊 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！
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