A Fast Algorithm for Lattice Hyperonic Potentials

@article{Nemura2016AFA,
  title={A Fast Algorithm for Lattice Hyperonic Potentials},
  author={Hidekatsu Nemura and Sinya Aoki and Takumi Doi and Shinya Gongyo and Tetsuo Hatsuda and Yoichi Ikeda and Takashi Inoue and Takumi Iritani and Noriyoshi Ishii and Takaya Miyamoto and Keiko Murano and Kenji Sasaki},
  journal={arXiv: High Energy Physics - Lattice},
  year={2016}
}
We describe an efficient algorithm to compute a large number of baryon-baryon interactions from $NN$ to $\Xi\Xi$ by means of HAL QCD method, which lays the groundwork for the nearly physical point lattice QCD calculation with volume $(96a)^4\approx$($8.2$fm)$^4$. Preliminary results of $\Lambda N$ potential calculated with quark masses corresponding to ($m_{\pi}$,$m_{K}$)$\approx$(146,525)MeV are presented. 

Figures from this paper

Baryon interactions from lattice QCD with physical masses -- Overview and $S = 0, -4$ sectors --

Nuclear forces and hyperon forces are studied by lattice QCD. Simulations are performed with (almost) physical quark masses, $m_\pi \simeq 146$ MeV and $m_K \simeq 525$ MeV, where $N_f=2+1$

Hyperon single-particle potentials from QCD on lattice

We study single-particle potential of hyperons in nuclear medium starting from QCD. First we carry out lattice QCD numerical simulation to extract baryon-baryon interactions from QCD by means of the

Doubly magic nuclei from lattice QCD forces at M PS = 469 MeV / c 2

We perform ab initio self-consistent Green’s function calculations of the closed shell nuclei 4He, 16O and 40Ca, based on two-nucleon potentials derived from Lattice QCD simulations, in the flavor

Lambda-Nucleon and Sigma-Nucleon potentials from space-time correlation function on the lattice

The hyperon-nucleon interaction with the strangeness ( = −1 region is complicated and difficult to investigate because its flavor sector involves all the irreducible representation except the flavor

Novel Algorithms for Computing Correlation Functions of Nuclei

The factor tree method shows promising speed-ups for small nuclei and could extend the method to larger nuclei, but it should be noted that the memory used will become prohibitive for large nuclei.

References

SHOWING 1-10 OF 16 REFERENCES

2+1 flavor QCD simulation on a $96^4$ lattice

We generate $2+1$ flavor QCD configurations near the physical point on a $96^4$ lattice employing the 6-APE stout smeared Wilson clover action with a nonperturbative $c_{\rm SW}$ and the Iwasaki

Towards Lattice QCD Baryon Forces at the Physical Point: First Results

Lattice QCD calculations of baryon forces are performed for the first time with (almost) physical quark masses. = 2 + 1 dynamical clover fermion gauge configurations are generated at the lattice

Nuclear force from lattice QCD.

It is shown that the central part of V(NN)(r) has a strong repulsive core of a few hundred MeV at short distances surrounded by an attractive well at medium and long distances, consistent with the known phenomenological features of the nuclear force.

Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations

We present full accounts of a method to extract nucleon-nucleon ( NN ) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applied to two nucleons on the lattice with quenched

Nuclear forces from quenched and 2+1 flavor lattice QCD using the PACS-CS gauge configurations

Two of recent progress in lattice QCD approach to nuclear force are reported. (i) Tensor force from quenched lattice QCD: By truncating the derivative expansion of inter-nucleon potential to the

Ab initio approach to s-shell hypernuclei 3lambdaH, 4lambdaH, 4lambdaHe, and 5lambdaHe with a lambdaN-sigmaN interaction.

Variational calculations for s-shell hypernuclei are performed by explicitly including Sigma degrees of freedom by using four sets of YN interactions and a large energy expectation value of the tensor lambdaN-sigmaN transition part is found.

Coupled-channel approach to strangeness S =− 2 baryon-bayron interactions in lattice QCD

Coupled-channel approach to strangeness S = −2 baryon–bayron interactions in lattice QCD Kenji Sasaki1,∗, Sinya Aoki1,2, Takumi Doi3, Tetsuo Hatsuda3, Yoichi Ikeda3, Takashi Inoue4, Noriyoshi Ishii5,

Comput

  • Phys. Commun. 184, 117
  • 2013