Short Distance Repulsion Among Baryons

Aoki, Sinya; Balog, J.; Doi, Takumi; Inoue, Takashi; Weisz, Peter

doi:10.1142/s0218301313300129

Cited by 7 publications

(5 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We suspect that this non-smooth and scattered structure is related to a singular behavior of the NBS wave function at short distances, caused by quark creation/annihilation processes in this channel. According to the argument by the operator product expansion [49][50][51][52][53], the I = 1 ππ operator at the sink strongly couples to the ρ operator at short distance, whose mass dimension is lower than the ππ operator by 3, and the NBS wave function behaves as ψ W (r) ∼ 1 r 3 Y l=1,m=0 (Ω r ) at short distances. This implies that the NBS wave function is highly localized and singular around the origin, which is indeed the case in the point-sink scheme, as seen in Fig.…”

Section: Nrmentioning

confidence: 99%

Emergence of the $ρ$ resonance from the HAL QCD potential in lattice QCD

Akahoshi,

Aoki,

Doi

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We investigate the I = 1 ππ interaction using the HAL QCD method in lattice QCD. We employ the (2+1)-flavor gauge configurations on 32 3 × 64 lattice at the lattice spacing a ≈ 0.0907 fm and m π ≈ 411 MeV, in which the ρ meson appears as a resonance state. We find that allto-all propagators necessary in this calculation can be obtained with reasonable precision by a combination of three techniques, the one-end trick, the sequential propagator, and the covariant approximation averaging (CAA). The non-local I = 1 ππ potential is determined at the nextto-next-to-leading order (N 2 LO) of the derivative expansion for the first time, and the resonance parameters of the ρ meson are extracted. The obtained ρ meson mass is found to be consistent with the value in the literature, while the value of the coupling g ρππ turns out to be somewhat larger. The latter observation is most likely attributed to the lack of low-energy information in our lattice setup with the center-of-mass frame. Such a limitation may appear in other P-wave resonant systems and we discuss possible improvement in future. With this caution in mind, we positively conclude that we can reasonably extract the N 2 LO potential and resonance parameters even in the system requiring the all-to-all propagators in the HAL QCD method, which opens up new possibilities for the study of resonances in lattice QCD.

show abstract

Section: Nrmentioning

confidence: 99%

Emergence of the $ρ$ resonance from the HAL QCD potential in lattice QCD

Akahoshi,

Aoki,

Doi

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This amplitude is then inserted into a Schrödinger equation in order to deduce the baryon-baryon potential that would generate it. More recently, the same idea has been used to extract short-distance potentials through the operator product expansion of perturbative QCD [7][8][9][10]. A review of the approach can be found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Potential problems with interpolating fields

Birse

2017

Eur. Phys. J. A

View full text Add to dashboard Cite

Abstract.A potential can have features that do not reflect the dynamics of the system it describes but rather arise from the choice of interpolating fields used to define it. This is illustrated using a toy model of scattering with two coupled channels. A Bethe-Salpeter amplitude is constructed which is a mixture of the waves in the two channels. The potential derived from this has a strong repulsive core, which arises from the admixture of the closed channel in the wave function and not from the dynamics of the model.

show abstract

“…Due to a complicated structure with rapid changes of the 3-point function around the origin, the corresponding potential shows multi-valued behavior at short distances, which is, however, NOT caused by contaminations of higher partial waves due to a cubic box (long distance effects), as discussed below. Due to quark-antiquark annihilations possible in this channel, the operator-product expansion [32][33][34][35] predicts a behavior of the 3-point function at r → 0 as…”

mentioning

confidence: 99%

Investigations of decuplet baryons from meson-baryon interactions in the HAL QCD method

Murakami¹,

Akahoshi²,

Aoki³

et al. 2022

Proceedings of the 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

View full text Add to dashboard Cite

We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, ∆ and Ω baryons from P-wave I = 3/2 N π and I = 0 Ξ K interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at m π ≈ 410 MeV and m K ≈ 635 MeV, where ∆ as well as Ω baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that the Ξ K system has a weaker attraction than the N π system while the binding energy from the threshold is larger for Ω than ∆. This suggests that an inequalitymainly from a smaller spatial size of a Ξ K bound state due to a larger reduced mass, rather than its interaction. Root-mean-square distances of bound states in both systems are small, indicating that ∆ and Ω are tightly bound states and thus can be regarded qualitatively as composite states of 3 quarks. Results of binding energies agree with those obtained from temporal 2-point functions within large systematic errors, which arise dominantly from the lattice artifact at short distances.

show abstract

Short Distance Repulsion Among Baryons

Cited by 7 publications

References 56 publications

Emergence of the $ρ$ resonance from the HAL QCD potential in lattice QCD

Emergence of the $ρ$ resonance from the HAL QCD potential in lattice QCD

Potential problems with interpolating fields

Investigations of decuplet baryons from meson-baryon interactions in the HAL QCD method

Contact Info

Product

Resources

About