Few-nucleon matrix elements in pionless effective field theory in a finite volume

Detmold, Will; Shanahan, Phiala E.

doi:10.1103/physrevd.103.074503

Cited by 34 publications

(42 citation statements)

References 58 publications

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“…As also discussed in Ref. [26], these Gaussian-based wavefunctions are able to represent finite-volume "scattering states", i.e., eigenstates above the two-particle threshold, for N = 2 systems, and the method does not rely on deeply-bound infinite volume states. The only restrictions on its applicability are that states that are integrated out of the pionless EFT, such as those involving pions, ∆-resonances and particle-anti-particle excitations, are not representable.…”

Section: B Variational Methods Frameworkmentioning

confidence: 99%

“…The regulator parameter Λ can be expressed in terms of a length-scale r 0 as Λ = √ 2/r 0 . Physical quantities are independent of this cutoff [26].…”

Section: Methodology a Hamiltonian For Pionless Effective Field Theorymentioning

confidence: 99%

“…In particular, this approach has been applied in a finite volume in Refs. [25,26] using a basis of correlated Gaussian terms. Here, the same wavefunction ansatz is considered, but is optimised using an alternative to the stochastic optimisation procedure that is based on differentiable programming (detailed in Sec.…”

Section: B Variational Methods Frameworkmentioning

confidence: 99%

“…1 As also used in Refs. [25,26], a trial wavefunction of this form satisfying the periodic boundary conditions of a finite spatial volume can be expressed for some nucleus h as…”

Section: B Variational Methods Frameworkmentioning

confidence: 99%

“…Existing applications of FVEFT to the matching and extrapolation of LQCD results for nuclear spectra [25] and matrix elements [26] have used the stochastic variational method (SVM) [27] with trial wavefunctions composed of shifted correlated Gaussian functions [28]. Because of the stochastic nature of this approach, a large number of terms are required to approximate the ground state of each nuclear system.…”

Section: Introductionmentioning

confidence: 99%

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Finite-Volume Pionless Effective Field Theory for Few-Nucleon Systems with Differentiable Programming

Sun¹,

Detmold²,

Luo³

et al. 2022

Preprint

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Finite-volume pionless effective field theory provides an efficient framework for the extrapolation of nuclear spectra and matrix elements calculated at finite volume in lattice QCD to infinite volume, and to nuclei with larger atomic number. In this work, it is demonstrated how this framework may be implemented via a set of correlated Gaussian wavefunctions optimised using differentiable programming and via solution of a generalised eigenvalue problem. This approach is shown to be significantly more efficient than a stochastic implementation of the variational method based on the same form of correlated Gaussian wavefunctions, yielding comparably accurate representations of the ground-state wavefunctions with an order of magnitude fewer terms. The efficiency of representation allows such calculations to be extended to larger systems than in previous work. The method is demonstrated through calculations of the binding energies of nuclei with atomic number A ∈ {2, 3, 4} in finite volume, matched to lattice QCD calculations at quark masses corresponding to mπ = 806 MeV, and infinite-volume effective field theory calculations of A ∈ {2, 3, 4, 5, 6} systems based on this matching.

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Section: B Variational Methods Frameworkmentioning

confidence: 99%

“…The regulator parameter Λ can be expressed in terms of a length-scale r 0 as Λ = √ 2/r 0 . Physical quantities are independent of this cutoff [26].…”

Section: Methodology a Hamiltonian For Pionless Effective Field Theorymentioning

confidence: 99%

Section: B Variational Methods Frameworkmentioning

confidence: 99%

“…1 As also used in Refs. [25,26], a trial wavefunction of this form satisfying the periodic boundary conditions of a finite spatial volume can be expressed for some nucleus h as…”

Section: B Variational Methods Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Finite-Volume Pionless Effective Field Theory for Few-Nucleon Systems with Differentiable Programming

Sun¹,

Detmold²,

Luo³

et al. 2022

Preprint

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Constraints on subleading interactions in beta decay Lagrangian

Falkowski,

González-Alonso,

Palavrić

et al. 2024

J. High Energ. Phys.

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We discuss the effective field theory (EFT) for nuclear beta decay. The general quark-level EFT describing charged-current interactions between quarks and leptons is matched to the nucleon-level non-relativistic EFT at the $$ \mathcal{O}\left(\textrm{MeV}\right) $$ O MeV momentum scale characteristic for beta transitions. The matching takes into account, for the first time, the effect of all possible beyond-the-Standard-Model interactions at the subleading order in the recoil momentum. We calculate the impact of all the Wilson coefficients of the leading and subleading EFT Lagrangian on the differential decay width in allowed beta transitions. As an example application, we show how the existing experimental data constrain the subleading Wilson coefficients corresponding to pseudoscalar, weak magnetism, and induced tensor interactions. The data display a 3.5 sigma evidence for nucleon weak magnetism, in agreement with the theory prediction based on isospin symmetry.

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