Anisotropic lattice QCD studies of penta-quarks and tetra-quarks

Ishii, Noriyoshi; Doi, Takumi; Iida, Hidehiro; Oka, M.; Okiharu, Fumiko; Suganuma, Hideo; Tsumura, Kyosuke

doi:10.1063/1.2220310

Cited by 3 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The time derivative part of the tensor potential, on the other hand, gives a negligible contribution. Furthermore, the tensor potential itself (red) is weaker than the tensor potential of the NN system [18]. As seen form an enlargement in the inset of the left panel, there is no clear attractive well in the central potential (red).…”

Section: λN and σN(i = 3/2) Potentials In 1 S 0 Channelmentioning

confidence: 96%

“…Calculations in this report have been performed by using the Blue Gene/L computer under the "Large scale simulation program" at KEK (No. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. He would also like to thank Dr. S. Ejiri…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…This report is the latest version of those reports, which includes several new results: (i) ΣN(I = 3/2) potentials are studied. (ii) An improved method is employed to extract potentials more precisely [18].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Baryon-Baryon Interaction of Strangeness S=-1 Sector

Nemura¹

2012

Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)

View full text Add to dashboard Cite

We present our recent studies on hyperon-nucleon (Y N) interactions in the strangeness S = −1 that pΛ, Σ 0 p and Σ + n, by extracting corresponding potentials through Nambu-Bethe-Salpeter wave functions. We calculate ΛN and ΣN potentials in the isospin I = 3/2 channel, using the N f = 2 + 1 gauge configurations generated by PACS-CS collaboration and employing an improved method to obtain potentials in lattice QCD simulations. For the 1 S 0 channel, the central ΣN(I = 3/2, 1 S 0 ) potential and the central ΛN( 1 S 0 ) potential are found to be very similar. In the spin triplet ( 3 S 1 − 3 D 1 ) channels, the central ΛN( 3 S 1 − 3 D 1 ) potential is attractive while the central ΣN(I = 3/2, 3 S 1 − 3 D 1 ) potentials is repulsive. Tensor potentials, on the other hand, are rather weak in the diagonal part of both ΛN and ΣN(I = 3/2) systems.

show abstract

Section: λN and σN(i = 3/2) Potentials In 1 S 0 Channelmentioning

confidence: 96%

Section: Acknowledgmentsmentioning

confidence: 99%

See 1 more Smart Citation

Baryon-Baryon Interaction of Strangeness S=-1 Sector

Nemura¹

2012

Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)

View full text Add to dashboard Cite

show abstract

Sigma meson in QCD sum rules using a two-quark current with derivatives

2009

View full text Add to dashboard Cite

We study the σ meson in QCD sum rules using a two quark interpolating field with derivatives. In the constituent quark model, the σ meson is composed of a quark and an antiquark in the relative p-wave state and is thus expected to have a larger overlap with an interpolating field that measures the derivative of the relative quark wave function. While the sum rule with a current without derivative gives a pole mass of around 1 GeV, the present sum rule with derivative current gives a mass of around 550 MeV and a width of 400 MeV, that could be identified with the σ meson.PACS numbers: 12.38. Lg,11.55.Hx,14.40.Cs The existence of the light scalar meson or σ(600) had been controversial for a long time despite of its important role in chiral dynamics in QCD physics [1,2]. It is only recently that the existence has been confirmed [3,4], through the careful reanalyses of the π-π scattering phase shift [5], and the findings of the σ pole in the heavy particle decays such as D → πππ and Υ(3S) → Υππ [6,7,8].On the other hand, the physical content of the σ meson is still controversial [9]. In addition to the usual picture of a qq state, there are several plausible candidates like a four quark state qqqq [10, 11] and a ππ molecule, which can be mixed with a glueball. Also, the σ meson may be a collective qq states just as the π is, due to the chiral symmetry [12]. Hence, it is important to confirm the existence of the σ meson, and to investigate its nature on the basis of QCD.In lattice QCD [13], most of the calculations using a two quark interpolating field seem to predict the ground state mass of scalar particle in the isospin 1 channel to be above 1.3 GeV [14,15,16,17,18], while some predict it to be around 1 GeV [19,20]. In contrast, most lattice calculations based on a four quark interpolating field consistently predict the mass to be around 1 GeV for the f 0 , a 0 [16,21] and around 600 MeV for the σ [17]. The existence of the σ with a two quark interpolating field was confirmed in a full QCD simulation for the first time in Ref. [23]. It was argued that the disconnected diagram is crucially responsible for reducing the σ meson mass to that comparable to the ρ meson mass for the lightest current quark mass achieved in the simulation. It is expected that if extrapolated to the chiral limit, the σ meson mass would be such as m π < m σ < m ρ . On the other hand, for the κ, where no disconnected diagram contributes when a two quark interpolating field is used, the calculated mass was about two times that of the K *[22]. These results suggest that the σ might have a very different quark structure than the rest of the scalar nonet.In this paper, we will study the σ meson in QCD * Electronic address: suhoung@phya.yonsei.ac.kr † Electronic address: morita@phya.yonsei.ac.kr ‡ Electronic address: kohnishi@phya.yonsei.ac.kr sum rules, which is another first principle approach to QCD [24]. The first QCD sum rule attempt was made in Ref. [25] with the usual two quark interpolating field ∼ūu(x) +dd(x); a local operator. Assumin...

show abstract