Baryon interactions from lattice QCD with physical quark masses – Nuclear forces and ΞΞ forces –

Doi, Takumi; Iritani, Takumi; Aoki, Sinya; Gongyo, Shinya; Hatsuda, Tetsuo; Ikeda, Yoichi; Inoue, Takashi; Ishii, Noriyoshi; Miyamoto, Takaya; Nemura, Hidekatsu; Sasaki, Kenji

doi:10.1051/epjconf/201817505009

Cited by 35 publications

(32 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For field configurations violating the small fluctuation assumptions of Eq. (34), as demonstrated to occur even in free-field theory in Figs. 4-5, it is necessary to construct an estimator for cos Θ from the unwrapped phase that does not depend on assumptions about the distribution of Θ.…”

Section: E Unwrapped Characteristic Function and Cumulant Expansionmentioning

confidence: 75%

“…Phase unwrapping was shown analytically above to remove exponential StN degradation at fixed order in a cumulant expansion under the assumptions of Eq. (34). Relaxing these assumptions, the probability distribution of phase fluctuations becomes more complicated and an unwrapped phase distribution satisfying W [ θ] = θ cannot be easily found analytically.…”

Section: One-dimensional Phase Unwrappingmentioning

confidence: 99%

See 1 more Smart Citation

Phase unwrapping and one-dimensional sign problems

2018

View full text Add to dashboard Cite

Sign problems in path integrals arise when different field configurations contribute with different signs or phases. Phase unwrapping describes a family of signal processing techniques in which phase differences between elements of a time series are integrated to construct noncompact unwrapped phase differences. By combining phase unwrapping with a cumulant expansion, path integrals with sign problems arising from phase fluctuations can be systematically approximated as linear combinations of path integrals without sign problems. This work explores phase unwrapping in zero-plus-one-dimensional complex scalar field theory. Results with improved signal-to-noise ratios for the spectrum of scalar field theory can be obtained from unwrapped phases, but the size of cumulant expansion truncation errors is found to be undesirably sensitive to the parameters of the phase unwrapping algorithm employed. It is argued that this numerical sensitivity arises from discretization artifacts that become large when phases fluctuate close to singularities of a complex logarithm in the definition of the unwrapped phase.1 Other interesting LQCD observables face distinct StN problems. For instance, isoscalar meson correlation functions are uncharged under U (1) symmetries and possess exponential StN problems but not U (1) phase fluctuations. Excited-state energies are extracted from differences of correlation functions with the same quantum numbers and face StN problems arising from the exponentially precise cancellations needed to project out ground-state contributions and leave exponentially faster decaying excited-state contributions. In large nuclei, StN problems associated with MeV excitation energies are negligible compared to the phase fluctuation StN problem associated with the multi-GeV rest mass of the nucleus. LQCD calculations of isoscalar mesons and exotic hadrons conversely face StN problems primarily from sources besides U (1) phase fluctuations, and phase unwrapping is not immediately applicable to these systems. 2 Cumulant expansions of noncompact "extensive phases" have also been applied to sign problems in QCD and other theories at nonzero chemical potential [51][52][53][54][55][56].

show abstract

Section: E Unwrapped Characteristic Function and Cumulant Expansionmentioning

confidence: 75%

Section: One-dimensional Phase Unwrappingmentioning

confidence: 99%

Phase unwrapping and one-dimensional sign problems

2018

View full text Add to dashboard Cite

show abstract

“…Lattice QCD is another valuable source of information on YN and YY interactions [5][6][7][8][9][10][11][12][13][14][15][16][17]. While some lattice simulations are approaching the physical values of the light quark masses, most of the available lattice QCD calculations still correspond to unphysically large values and, therefore, require extrapolations to their physical values.…”

Section: Introductionmentioning

confidence: 99%

Λ -nucleon scattering in baryon chiral perturbation theory

2020

View full text Add to dashboard Cite

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying timeordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are obtained by solving the corresponding coupledchannel integral equations that have a milder ultraviolet behavior compared to their non-relativistic analogs. This allows us to consider the removed cutoff limit in our leading-order calculations also in the 3 P 0 and 3 P 1 partial waves. We find that, in the framework we are using, at least some part of the higher-order contributions to the baryon-baryon potential in these channels needs to be treated nonperturbatively and demonstrate how this can be achieved in a way consistent with quantum field theoretical renormalization for the leading contact interactions. We compare our results with the ones of the non-relativistic approach and lattice QCD phase shifts obtained for non-physical pion masses.

show abstract

“…Given that experiments involving hypernuclei are rather challenging, a particularly valuable source of information on YN and YY interactions is provided by lattice QCD. Several lattice-QCD groups including HAL QCD [5][6][7] and NPLQCD [8][9][10][11][12] Collaborations, Yamazaki et al [13,14] and the Mainz group [15] have already produced interesting results on baryon-baryon systems, and more results will become available in the near future. Although some lattice simulations are already approaching the physical values of the light quarks, most of the available lattice QCD calculations still correspond to unphysically large values of quark masses and require a reliable theoretical framework to perform extrapolations to their physical values.…”

Section: Introductionmentioning

confidence: 99%

Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory

et al. 2019

View full text Add to dashboard Cite

We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special attention to complications caused by momentumdependent interactions and propagators of particles with non-zero spin. We define the effective potential as a sum of two-baryon irreducible contributions of time-ordered diagrams and derive a system of integral equations for the scattering amplitude, which provides a coupled-channel generalization of the Kadyshevsky equation. The obtained leading-order baryon-baryon potentials are perturbatively renormalizable, and the corresponding integral equations have unique solutions in all partial waves. We discuss the issue of additional finite subtractions required to improve the ultraviolet convergence of (finite) loop integrals on the example of nucleon-nucleon scattering in the 3 P 0 partial wave. Assuming that corrections beyond leading order can be treated perturbatively, we obtain a fully renormalizable formalism which can be employed to study baryon-baryon scattering.

show abstract

Baryon interactions from lattice QCD with physical quark masses – Nuclear forces and ΞΞ forces –

Cited by 35 publications

References 44 publications

Phase unwrapping and one-dimensional sign problems

Phase unwrapping and one-dimensional sign problems

Λ -nucleon scattering in baryon chiral perturbation theory

Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory

Contact Info

Product

Resources

About