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マルチクォーク系としての ストレンジ・ダイバリオン及び トライバリオンの研究. 前沢 祐 ( 東京大学 ) 初田 哲男 ( 東京大学 ) 佐々木 勝一 ( 理研 BNL). Maezawa, Hatsuda, Sasaki, Prog.Theor.Phys. 114 (2005) 317. Maezawa, Hatsuda, Sasaki, in preparation. Spin and Parity are undetermined. Experimental results. FINUDA Collaboration
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マルチクォーク系としてのストレンジ・ダイバリオン及びトライバリオンの研究マルチクォーク系としてのストレンジ・ダイバリオン及びトライバリオンの研究 前沢 祐 (東京大学) 初田 哲男 (東京大学) 佐々木 勝一 (理研BNL) Maezawa, Hatsuda, Sasaki, Prog.Theor.Phys. 114 (2005) 317. Maezawa, Hatsuda, Sasaki, in preparation.
Spin and Parity are undetermined. Experimental results FINUDA Collaboration PRL 94, (2005) 212303 M. Iwasaki et al. hep-ph/0310018 T. Suzuki et al. Phys. Lett. B 597, (2004) 263
Strong attraction -97 MeV 3310 MeV -48 MeV -111 MeV Akaishi and Yamazaki PRC65 (`02) 044005 Hadronic picture Dote, Horiuchi, Akaishi and Yamazaki, PRC70 (`04) 044313 deeply bound kaonic nuclei Dibaryon state Tribaryon states 2370 MeV High density
flavoroctet flavor27-plet several candidates Multi-quark picture Hexa- and Nona-quark picture • Classification incolor, flavorandspinspace • Mass formula based onbag model with NG boson cloud Hexa-quark states Nona-quark states
All quarks are inS-orbit. (positive parity) anti-symmetric color-singlet Classification in color, flavor and spin space Degrees of freedom of multi-quark system irreducible representation inflavor spinspace
Possible multiplets for , and S I3
Mass formula(bag model) breaking effect Color-magnetic int. effect Mass splitting NG boson cloud effect Mass formula for multi-quark system
breakingeffect Morestrange-quarks Largermass Color-magnetic int.effect flavor multiplet Largermass Larger spin Constant independent of quantum numbers
small effect flavor multiplet Larger Largermass spin NG boson cloud effect
Double hypernucleus Nagara event Permissible parameter region exists? H -particle problem Color magnetic interaction Large coupling constant Baryon mass splitting Bound states with S = -2 appear below hadronic thresholds. • B = 2: H dibaryon Jaffe, PRL 38 (1977) 195 • B = 3: H tribaryon Maezawa et al. PTP 114 (2005) 317 PRL 87 (2001) 212502
1st 2nd 3rd 4th Bag radius Scaling law Parameter Parameter space
bound state? Masses of nona-quark
Comparison to hadron picture quark picture hadron picture dibaryon tribaryon Bound state appears in S = -3
Hexa-quark states • is identified as . • All states appear above hadronic thresholds. • Nona-quark states • is identified as . • Other light nona-quark states with ? Summary • Strange dibaryon and tribaryons multi-quark description • Classification in flavor-spin space • Mass formulaandpermissible parameter region