Lattice results on dibaryons and baryon--baryon interactions

The $H$ dibaryon from lattice QCD with SU(3) flavor symmetry

We show recent results from the Mainz group using $N_f = 2 + 1$ CLS ensembles generated at the $SU(3)$ symmetric point. Temporal correlation functions using two-baryon interpolating operators are calculated with the distillation method. In addition to the spin-0 operators relevant for studying the $H$ dibaryon, we added spin-1 operators to our basis, thereby extending our results to other flavor sectors. These preliminary results show a finite-volume energy below the $ΛΛ$ threshold. Further calculations are necessary to establish whether the $H$ dibaryon is bound at the physical point.

Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations

Baryon-baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume L ~ 4 fm, the lattice spacing a ~ 0.12 fm, and the pseudo-scalar-meson mass M_ps =469 - 1171 MeV. The NN scattering phase shift and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schrodinger equation. The NN phase shift in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet J^P=0^+ channel with the binding energy of about 26 MeV …

Study of H-dibaryon mass in Lattice QCD

After a brief review of discovery of the H-dibaryon in lattice QCD, effect of the flavor SU(3) symmetry breaking on the H-dibaryon is studied by basing on the baryon-baryon (BB) interactions extracted from QCD on the lattice. The Schrodinger equation for Lambda Lambda - N Xi -Sigma Sigma coupled-channel is solved with the physical baryon masses and the potentials obtained from QCD at the flavor SU(3) limit. A resonant H-dibaryon is found between Lambda Lambda and N Xi thresholds in this treatment.

不稳定H-二重子的进一步证据？

Further Evidence for an unstable H-Dibaryon?

本文给出了在猝灭QCD中用改进的规范和费米子作用（Symanzik改进，Clover作用）在$16^3$ x30和$24^3$ x30晶格上计算的6 q味单态（$J^P=0^+$，$S=-2$）H-二重子质量的初步结果.对于这两种晶格尺寸，我们应用模糊技术来增强与基态的重叠。我们观察到的H-质量以上的$ΛΛ$阈值强衰变。质量差$m_H - 2m_Λ$随着晶格尺寸的增加而增加。

To bind or not to bind: The H-dibaryon in light of chiral effective field theory

We analyse the quark mass dependence of the binding energy of the H-dibaryon in the framework of chiral effective field theory. We show that the SU(3) breaking effects induced by the differences of the pertinent two-baryon thresholds (Lambda-Lambda, Xi-N, Sigma-Sigma) have a very pronounced impact that need to be incorporated properly in future lattice QCD simulations. We also point out that if the H-dibaryon is a two-baryon bound state, its dominant component is Xi-N rather than Lambda-Lambda, which is a consequence of the approximate SU(3) flavor symmetry of the two-baryon interactions.

Probing $ΩΩ$ and $pΩ$ dibaryons with femtoscopic correlations in relativistic heavy-ion collisions

The momentum correlation functions of baryon pairs, which reflects the baryon-baryon interaction at low energies, are investigated for multi-strangeness pairs ($ΩΩ$ and $NΩ$) produced in relativistic heavy-ion collisions. We calculate the correlation functions based on an expanding source model constrained by single-particle distributions. The interaction potentials are taken from those obtained from recent lattice QCD calculations at nearly physical quark masses. Experimental measurements of these correlation functions for different system sizes will help to disentangle the strong interaction…

重子-重子散射中双粲双重子的寻找

Search for doubly charmed dibaryons in baryon-baryon scattering

本研究在手征夸克模型下系统研究双粲双重子系统，预言了两个$S=-2$的共振态，指出多道耦合计算对确认多夸克态、支撑实验寻找奇特强子态至关重要。

Bound H-dibaryon from Full QCD Simulations on the Lattice

Using a new method recently proposed by the HAL QCD collaboration to study hadron interactions in lattice QCD, we investigate a possibility for an existence of the H-dibaryon in the flavor SU(3) symmetric world. A potential for the flavor-singlet baryon-baryon channel is derived from the Nambu-Bethe-Salpeter wave function, and the elusive H-dibaryon is shown to be a bound state, with the binding energy of 20--50 MeV for the pseudo-scalar meson masses in the range that 469--1171 MeV.

Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD

The flavor-singlet H-dibaryon, which has strangeness -2 and baryon number 2, is studied by the approach recently developed for the baryon-baryon interactions in lattice QCD. The flavor-singlet central potential is derived from the spatial and imaginary-time dependence of the Nambu-Bethe-Salpeter wave function measured in N_f=3 full QCD simulations with the lattice size of L = 2, 3, 4 fm. The potential is found to be insensitive to the volume, and it leads to a bound H-dibaryon with the binding energy of 30 - 40 MeV for the pseudo-scalar meson mass of 673 - 1015 MeV.

全重双重子系统的研究

Systematics of fully heavy dibaryons

本文在扩展色磁模型中系统计算全重双重子质量谱，发现无低于阈值的稳定态，并估计衰变宽度比，为未来实验提供参考。

六夸克态或紧致H-双重子的波函数

Wave function of the sexaquark or compact H-dibaryon

本文推导了uuddss六夸克空间对称色-味-自旋单态的完整波函数，指出常用ΛΛ、NΞ、ΣΣ叠加仅占1/5，其余4/5为色八重态重子乘积，并讨论了其对双重子质量计算和格点算符选择的影响。

Bound H-dibaryon in the Flavor SU(3) Limit from a Full QCD Simulation on the Lattice

Existence of the H-dibaryon in the flavor SU(3) symmetric limit is studied by full QCD simulations on the lattice, in the approach recently developed for the baryon-baryon (BB) interactions. Potential of the flavor-singlet BB channel is derived from the Nambu-Bethe-Salpeter wave function, and a bound H-dibaryon is discovered from it, with the binding energy of 20--50 MeV for the pseudo-scalar meson mass of 469--1171 MeV.

不同温度下理论预言的H-双重子的质量

Masses of the conjectured H-dibaryon at different temperatures

本研究利用格点QCD在9个温度下计算H-双重子及多种重子的质量与谱密度，发现低温下H-双重子存在束缚态，且不同粒子谱密度随温度演化的行为存在差异。

Two-Baryon Correlation Functions in 2-flavour QCD

We present first results for two-baryon correlation functions, computed using $N_f=2$ flavours of O($a$) improved Wilson quarks, with the aim of explaining potential dibaryon bound states, specifically the H-dibaryon. In particular, we use a GEVP to isolate the groundstate using two-baryon (hyperon-hyperon) correlation functions $\big(\langle C_{XY}(t)C_{XY}(0) \rangle$, where $XY=ΛΛ, ΣΣ, NΞ, \cdots\big)$, each of which has an overlap with the H-dibaryon. We employ a `blocking' algorithm to handle the large number of contractions, which may easily be extended to N-baryon correlation functions.…

$H$ dibaryon away from the $SU(3)_f$ symmetric point

We present the current status of our efforts in search of $H$ dibaryon on $N_f$=2+1 CLS ensembles away from the $SU(3)$ flavor symmetric point. Utilizing the distillation framework (also known as LapH) in its exact and stochastic forms, we calculate two-point correlation matrices using large bases of bi-local two-baryon interpolators to reliably determine the low-energy spectra. We report the low lying spectrum on several moving frames for multiple ensembles with different lattice spacing and physical volumes. The status of finite-volume analysis to extract the scattering amplitudes is also di…

$H$双巴尔离子在$N_{\rm f}=2+1$格状量子色动力学中的初步研究

Preliminary study of the $H$ dibaryon in $N_{\rm f}=2+1$ lattice QCD

本研究利用$N_{\rm f}=2+1$格状量子色动力学初步探讨$H$双巴尔离子的性质，通过多动量框架下相关通道的相互作用谱分析，确定其存在性。

探索单一味双重子：格点视角

Exploring Single-Flavor Dibaryons: A lattice perspective

本研究利用含动力学 HISQ 场的格点 QCD 系综和 overlap 价夸克作用量，计算单一粲味或奇异味双重子在不同自旋通道中的基态能量及阈值差，以揭示其相互作用。

Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD

The current constraints from lattice QCD on the existence of the H-dibaryon are discussed. With only two significant lattice QCD calculations of the H-dibaryon binding energy at approximately the same lattice spacing, the forms of the chiral and continuum extrapolations to the physical point are not determined. In this brief report, we consider the constraints on the H-dibaryon imposed by two simple chiral extrapolations. In both instances, the extrapolation to the physical pion mass allows for a bound H-dibaryon or a near-threshold scattering state. Further lattice QCD calculations are requir…

Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD

We report the first lattice QCD study of the heavy dibaryons in which all six quarks have the bottom (beauty) flavor. Performing a state-of-the-art lattice QCD calculation we find clear evidence for a deeply bound $Ω_{bbb}$-$Ω_{bbb}$ dibaryon in the $^1S_0$ channel, as a pole singularity in the $S$-wave $Ω_{bbb}$-$Ω_{bbb}$ scattering amplitude with a binding energy $-81(_{-16}^{+14})$ MeV. With such a deep binding, Coulomb repulsion serves only as a perturbation on the ground state wave function of the parameterized strong potential and may shift the strong binding only by a few percent. Consi…

Search for a bound H-dibaryon using local six-quark interpolating operators

We present early results from a lattice QCD study seeking a bound $H$-dibaryon using $N_f=2$ flavors of $O(a)$ improved Wilson fermions and a quenched strange quark. We compute a matrix of two-point functions using operators consisting of the two independent local products of six positive-parity-projected quarks with the appropriate quantum numbers, which belong to the singlet and 27-plet irreducible representations of flavor SU(3). To expand this basis, we also independently vary the quark-field smearing, and apply a new scheme to reduce the noise caused by smearing. We then find the ground-s…

Evidence for a Bound H-dibaryon from Lattice QCD

We present evidence for the existence of a bound H-dibaryon, an I=0, J=0, s=-2 state with valence quark structure uuddss, at a pion mass of m_pi ~ 389 MeV. Using the results of Lattice QCD calculations performed on four ensembles of anisotropic clover gauge-field configurations, with spatial extents of L ~ 2.0, 2.5, 3.0 and 3.9 fm at a spatial lattice spacing of b ~ 0.123 fm, we find an H-dibaryon bound by B = 16.6 +- 2.1 +- 4.6 MeV at a pion mass of m_pi ~ 389 MeV.

Ab-initio study of dibaryons with highest bottom number

We present the first lattice study of dibaryons with highest bottom number. Utilizing a set of state-of-the-art lattice QCD ensembles and methodologies, we determine the ground state of dibaryon composed of two $Ω_{bbb}$ baryons. We extract the related scattering amplitude in the $^1S_0$ channel and find a sub-threshold pole, which signifies an unambiguous evidence for a deeply bound $Ω_{bbb}-Ω_{bbb}$ dibaryon. The binding energy of such a state as dictated by this pole singularity is found to be -81($^{+14}_{-16}$) MeV. We quantify various systematic uncertainties involved in this determinati…

基于格点QCD的类氘核双重子系统的部分子分布函数

Parton Distribution Function of a Deuteron-like Dibaryon System from Lattice QCD

本研究利用大动量有效理论开展格点QCD计算，通过多系综、高动量计算及动量涂抹等技术，得到类氘核双重子系统的光锥部分子分布函数，并与质子中子PDF之和进行对比。

Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators

We present a lattice QCD spectroscopy study in the isospin singlet, strangeness $-2$ sectors relevant for the conjectured $H$ dibaryon. We employ both local and bilocal interpolating operators to isolate the ground state in the rest frame and in moving frames. Calculations are performed using two flavors of O($a$)-improved Wilson fermions and a quenched strange quark. Our initial point-source method for constructing correlators does not allow for bilocal operators at the source; nevertheless, results from using these operators at the sink indicate that they provide an improved overlap onto the…

在组分夸克模型中研究 $Ω_{ccc}Ω_{ccc}$ 和 $Ω_{bbb}Ω_{bbb}$ 双重重子

Study of the $Ω_{ccc}Ω_{ccc}$ and $Ω_{bbb}Ω_{bbb}$ dibaryons in constituent quark model

在组分夸克模型框架下研究 $Ω_{ccc}Ω_{ccc}$ 和 $Ω_{bbb}Ω_{bbb}$ 双重重子，发现两系统均存在束缚能约为 MeV 量级的 $J^P=0^+$ 束缚态候选。

不同温度下不同通道猜测的H双轻子质量

Masses of the conjectured H-dibaryon for different channels at different temperatures

研究不同温度下H双轻子在不同通道的质量及质差，揭示其在不同通道下的行为特征。

Dibaryon with highest charm number near unitarity from lattice QCD

A pair of triply charmed baryons, $Ω_{ccc}Ω_{ccc}$, is studied as an ideal dibaryon system by (2+1)-flavor lattice QCD with nearly physical light-quark masses and the relativistic heavy quark action with the physical charm quark mass. The spatial baryon-baryon correlation is related to their scattering parameters on the basis of the HAL QCD method. The $Ω_{ccc}Ω_{ccc}$ in the ${^1S_0}$ channel taking into account the Coulomb repulsion with the charge form factor of $Ω_{ccc}$ leads to the scattering length $a^{\rm C}_0\simeq -19~\text{fm}$ and the effective range $r^{\rm C}_{\mathrm{eff}}\simeq…

Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD

We present the first study of baryon-baryon interactions in the continuum limit of lattice QCD, finding unexpectedly large lattice artifacts. Specifically, we determine the binding energy of the $H$ dibaryon at a single quark-mass point. The calculation is performed at six values of the lattice spacing $a$, using O($a$)-improved Wilson fermions at the SU(3)-symmetric point with $m_π=m_K\approx 420$ MeV. Energy levels are extracted by applying a variational method to correlation matrices of bilocal two-baryon interpolating operators computed using the distillation technique. Our analysis employ…

Deuteron-like heavy dibaryons from Lattice QCD

We report the first lattice quantum chromodynamics (QCD) study of deuteron($np$)-like dibaryons with heavy quark flavours. These include particles with following dibaryon structures and valence quark contents: $Σ_cΞ_{cc} (uucucc)$, $Ω_cΩ_{cc} (sscscc)$, $Σ_bΞ_{bb} (uububb)$, $Ω_bΩ_{bb} (ssbsbb)$ and $Ω_{ccb}Ω_{cbb} (ccbcbb)$, and with spin ($J$)-parity ($P$), $J^{P} \equiv 1^{+}$. Using a state-of-the art lattice QCD calculation, after controlling relevant systematic errors, we unambiguously find that the ground state masses of dibaryons $Ω_cΩ_{cc} (sscscc)$, $Ω_bΩ_{bb} (ssbsbb)$ and $Ω_{ccb}Ω…

Spin-2 $NΩ$ Dibaryon from Lattice QCD

We investigate properties of the $N$(nucleon)-$Ω$(Omega) interaction in lattice QCD to seek for possible dibaryon states in the strangeness $-3$ channel. We calculate the $NΩ$ potential through the equal-time Nambu-Bethe-Salpeter wave function in 2+1 flavor lattice QCD with the renormalization group improved Iwasaki gauge action and the nonperturbatively $\mathcal{O}(a)$ improved Wilson quark action at the lattice spacing $a\simeq 0.12$ fm on a (1.9 fm)$^{3}\times$ 3.8 fm lattice. The $ud$ and $s$ quark masses in our study correspond to $m_π= 875(1)$ MeV and $m_{K}= 916(1)$ MeV. At these param…

Study of three-flavored heavy dibaryons using lattice QCD

We present results of the first lattice QCD calculation of three-flavored heavy dibaryons both in the flavor-symmetric and antisymmetric channels. These dibaryons have spin zero, and are constructed using various possible combinations of quark flavors with at least one of them as the charm or the bottom quark, i.e., namely, $H_c(cudcud), H_b(budbud), H_{bcs}(bcsbcs)$, $H_{csl}(cslcsl), H_{bsl}(bslbsl)$ and $H_{bcl}(bclbcl)$; $l\in u,d$. We compute the ground state masses of these dibaryons and the calculations are performed on three $N_f=2+1+1$ HISQ gauge ensembles of the MILC collaboration, w…

Exotic bound states of two baryons in light of chiral effective field theory

Baryon-baryon bound states in the strangeness S=-2, S=-3, and S=-4 sectors are considered. In particular, the dependence of the corresponding binding energies on the quark mass (or equivalently the pion mass) is explored in the framework of chiral effective field theory, in order to connect with current lattice QCD calculations. For a bound state in the Xi-Xi 1S0 channel, predicted by our leading-order effective field theory interaction, binding energies are inferred that are roughly in line with a recent lattice QCD result at meson and baryon masses that correspond to those in the lattice sim…

$H$双重子有限体积分析：包括左手割线效应

Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects

采用有限体积$N/D$表示法，包含单π交换引起的左手割线，在SU(3)$_\text{F}$对称点（π质量约417 MeV）研究$H$双重子，并与Lüscher量化条件比较，发现左手割线对$H$双重子结合能产生轻微但统计显著的影响。

Updated Analysis of the Mass of the H Dibaryon from Lattice QCD

Recent lattice QCD calculations from the HAL and NPLQCD Collaborations have reported evidence for the existence of a bound state with strangeness -2 and baryon number 2 at quark masses somewhat higher than the physical values. A controlled chiral extrapolation of these lattice results to the physical point suggested that the state, identified with the famed H dibaryon, is most likely slightly unbound (by 13 $\pm$ 14 MeV) with respect to the $Λ--Λ$ threshold. We report the results of an updated analysis which finds the H unbound by 26 $\pm$ 11 MeV. Apart from the insight it would give us into h…

Baryon interactions from lattice QCD with physical masses -- $S=-2$ sector --

The strangeness $S=-2$ baryon-baryon interaction is investigated directly from the fundamental theory of the strong interaction, QCD. The HAL QCD method enables us to extract baryon interactions from the Nambu-Bethe-Salpeter wave functions without using any experimental information. We present our latest result on the $S = -2$ baryon interactions and discuss the H-dibaryon state using potentials which are calculated by using the (almost) physical point gauge configurations with large lattice volume of$(8.1{\rm{fm}})^4$ generated on the K-computer.

格点QCD与重子-重子相互作用

Lattice QCD and Baryon-Baryon Interactions

本文回顾了格点QCD中重子-重子相互作用的研究现状，重点介绍了HAL QCD合作组提出的势方法及其在提取核子势、三核子势、超子势及双重子态预测等方面的应用与结果。

Most Strange Dibaryon from Lattice QCD

The $ΩΩ$ system in the $^1S_0$ channel (the most strange dibaryon) is studied on the basis of the (2+1)-flavor lattice QCD simulations with a large volume (8.1 fm)$^3$ and nearly physical pion mass $m_π\simeq 146$ MeV at a lattice spacing $a\simeq 0.0846$ fm. We show that lattice QCD data analysis by the HAL QCD method leads to the scattering length $a_0 = 4.6 (6)(^{+1.2}_{-0.5}) {\rm fm}$, the effective range $r_{\rm eff} = 1.27 (3)(^{+0.06}_{-0.03}) {\rm fm}$ and the binding energy $B_{ΩΩ} = 1.6 (6) (^{+0.7}_{-0.6}) {\rm MeV}$. These results indicate that the $ΩΩ$ system has an overall attra…

$NΩ$ dibaryon from lattice QCD near the physical point

The nucleon($N$)-Omega($Ω$) system in the S-wave and spin-2 channel ($^5$S$_2$) is studied from the (2+1)-flavor lattice QCD with nearly physical quark masses ($m_π\simeq 146$~MeV and $m_K \simeq 525$~MeV). The time-dependent HAL QCD method is employed to convert the lattice QCD data of the two-baryon correlation function to the baryon-baryon potential and eventually to the scattering observables. The $NΩ$($^5$S$_2$) potential, obtained under the assumption that its couplings to the D-wave octet-baryon pairs are small, is found to be attractive in all distances and to produce a quasi-bound sta…

具有最大粲数和奇异数的正宇称双重子的格点QCD研究

Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness

本研究利用格点QCD方法，基于MILC系综计算了最大粲数、奇异数的单味双重子基态能谱，发现S=0道的Ωccc-Ωccc系统存在束缚态信号，为理解单味双重子性质提供了新结果。

Prediction of an $Ω_{bbb}Ω_{bbb}$ dibaryon in the extended one-boson exchange model

Ever since Yukawa proposed that the pion is responsible for mediating the nucleon-nucleon interaction, meson exchanges have been widely used in understanding hadron-hadron interactions. The most studied mesons are the $σ$, $π$, $ρ$, and $ω$, while other heavier mesons are often argued to be less relevant because they lead to short range interactions. However, the ranges of interactions should be compared with the size of the system under study but not in absolute terms. In this work, we propose that one charmoninium exchange is responsible for the formation of the $Ω_{ccc}Ω_{ccc}$ dibaryon, re…

格点QCD中双味自旋为零的重双重子谱

Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD

本文利用格点QCD计算双味自旋单态重重子基态能谱，发现Ω_bbcΩ_bbc等态存在低于非相互作用能级的束缚迹象，并揭示能隙随重夸克质量增大而增加的趋势。

$d^\ast (2380)$ dibaryon from lattice QCD

The $ΔΔ$ dibaryon resonance $d^\ast (2380)$ with $(J^P, I)=(3^+, 0)$ is studied theoretically on the basis of the 3-flavor lattice QCD simulation with heavy pion masses ($m_π=679, 841$ and $1018$ MeV). By using the HAL QCD method, the central $Δ$-$Δ$ potential in the ${}^7S_3$ channel is obtained from the lattice data with the lattice spacing $a\simeq 0.121$ fm and the lattice size $L\simeq 3.87$ fm. The resultant potential shows a strong short-range attraction, so that a quasi-bound state corresponding to $d^\ast (2380)$ is formed with the binding energy $25$-$40$ MeV below the $ΔΔ$ threshold…

Continuum limit of baryon-baryon scattering with SU(3) flavor symmetry

We report a study of the scattering of two octet baryons using lattice QCD. The baryon-baryon spectrum is computed using distillation on eight lattice ensembles spanning six lattice spacings and multiple volumes, all at the SU(3) flavor symmetric point with $m_π=m_K\approx 420$ MeV. Using finite-volume quantization conditions, we determine the scattering phase shift and the presence of bound states. Focusing on the $H$ dibaryon, our results show large discretization effects: in the continuum, the binding energy is $B_H=4.56\pm1.13\pm0.63$ MeV, whereas on our coarsest lattice spacing this is la…

Most charming dibaryon near unitarity

We present a first study on a pair of triply charmed baryons, $Ω_{ccc}Ω_{ccc}$ in the $^1S_0$ channel, on the basis of the HAL QCD method. The measurements are perfomed on the $(2+1)$-flavor lattice QCD configurations with nearly physical light-quark masses and physical charm-quark mass. We show that the system with the Coulomb repulsion taking into account the charge form factor of $Ω_{ccc}$ leads to the scattering length $a^\mathrm{C}_0\simeq-19$ fm and the effective range $r^\mathrm{C}_\mathrm{eff}\simeq0.45$ fm, which indicates $Ω_{ccc}Ω_{ccc}$ is located in the unitary regime.

双核子共振态的氘类似单底子核研究

Investigation of deuteron-like singly bottomed dibaryon resonances

本文利用旋轮子核模型研究了具有不同strangeness的双核子共振态，发现两个可能的共振态并探讨了其结构特征和实验探索意义。

Charm (and bottom) baryons and charmonium excitations from the lattice

This report discusses some recent investigations of the heavy hadron spectra using lattice QCD. The first half addresses multiple precision determinations of the masses of charm (and bottom) baryons. Recent lattice results in the tetraquark and the dibaryon sectors are also presented. The second half focuses on new exploratory studies of the excited charmonium spectra in the vector and scalar channels. Along the way, lattice results are compared with the experimental results, wherever they are available.

Nucleon-nucleon scattering from distillation

We report an ongoing analysis of nucleon-nucleon scattering based on finite-volume spectroscopy. The calculation is performed using the distillation method on eight lattice ensembles at the SU(3)-symmetric point with $m_π=m_K\approx 420$ MeV generated by CLS, covering a range of lattice spacings and volumes and previously used to study the $H$ dibaryon. We obtain nonzero signals for $S$, $P$, $D$, and $F$ waves as well as the mixing between spin-1 $S$ and $D$ waves. For $S$ waves, lattice artifacts are significant and tend to strengthen baryon-baryon interactions. In the deuteron and dineutron…

Flavor structure of the baryon-baryon interaction from lattice QCD

We investigate baryon-baryon (BB) interactions in the 3-flavor full QCD simulations with degenerate quark masses for all flavors. The BB potentials in the orbital S-wave are extracted from the Nambu-Bethe-Salpeter wave functions measured on the lattice. We observe strong flavor-spin dependences of the BB potentials at short distances. In particular, a strong repulsive core exists in the flavor-octet and spin-singlet channel(the 8_s representation), while an attractive core appears in the flavor singlet channel (the 1 representation). We discuss the relation of such flavor-spin dependence with …

Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice

We investigate baryon-baryon (BB) interactions in the 3-flavor full QCD simulations with degenerate quark masses for all flavors. The BB potentials in the orbital S-wave are extracted from the Nambu-Bethe-Salpeter wave functions measured on the lattice. We observe strong flavor-spin dependences of the BB potentials at short distances. In particular, a strong repulsive core exists in the flavor-octet and spin-singlet channel (the 8_s representation), while an attractive core appears in the flavor singlet channel (the 1 representation). We discuss a relation of such flavor-spin dependence with t…

格点上的重子谱

Baryon Spectroscopy on the Lattice

本文概述了最近用格点量子色动力学计算重子谱的情况。

格点NRQCD中的重子

Heavy Baryons from Lattice NRQCD

用淬火格点非相对论QCD计算了各向异性格点上重夸克重子的质量谱。计算了自旋为1/2和3/2的重子的质量分裂。结果进行了比较，通过使用D234型的Dirac-Wilson行动。本文还讨论了重子的色超精细效应。

Lattice QCD at finite baryon density using analytic continuation

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to determine the baryon number density and higher cumulants at the real chemical potential via analytical continuation.

Lattice Nuclear Force

We derive an energy-independent and non-local potential for the baryon-baryon interaction from the Nambu-Bethe-Salpeter amplitude on the lattice. The method is applied to the nucleon-nucleon interactions with the (2+1)-flavor lattice QCD simulations. The central and tensor potentials are obtained as leading order terms of the velocity expansion of the non-local potential: The central potential has a repulsive core surrounded by an attractive well, while the tensor potential has intermediate and long range attractions. Validity of the velocity expansions tested by the nucleon-nucleon interactio…

Hadron Interactions from lattice QCD

We review our strategy to study hadron interactions from lattice QCD using newly proposed potential method. We first explain our strategy in the case of nuclear potentials and its application to nuclear physics. We then discuss the origin of the repulsive core, by adding strange quarks to the system. We also explore a possibility for H-dibaryon to exist in flavor SU(3) limit of lattice QCD. We conclude the paper with an application of our strategy to investigate the maximum mass of neutron stars.