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Low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces is investigated by using the formalism of the generalized quantum dynamics (GQD). This formalism is based on a generalized dynamical equation derived as the…

核理论 · 物理学 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

We discuss the problem of renormalization of dynamical equations which arises in an effective field theory description of nuclear forces. By using a toy model of the separable NN potential leading to logarithmic singularities in the Born…

核理论 · 物理学 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

Problems connected with non-Hamiltonian nature of low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces is investigated by using the formalism of the generalized quantum dynamics (GQD) developed in [J. Phys. A,…

量子物理 · 物理学 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

To obtain an understanding of the structure and reactions of nuclear systems from first principles has been a long-standing goal of nuclear physics. In this respect, few- and many-body systems provide a unique laboratory for studying…

核理论 · 物理学 2020-02-27 Maria Piarulli , Ingo Tews

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

核理论 · 物理学 2009-11-07 P. F. Bedaque , U. van Kolck

The application of the effective field theory (EFT) method to nuclear systems is reviewed. The roles of degrees of freedom, QCD symmetries, power counting, renormalization, and potentials are discussed. EFTs are constructed for various…

核理论 · 物理学 2008-11-26 U. van Kolck

There is much current interest in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT). Inspired by this RG-EFT approach, we study a low-momentum nucleon-nucleon (NN) interaction,…

核理论 · 物理学 2009-11-10 Jason D. Holt , T. T. S. Kuo , G. E. Brown , Scott K. Bogner

Low energy nucleon dynamics is investigated by using the generalized dynamical equation derived in [J. Phys. A v.32, 5657 (1999)]. This equation extends quantum dynamics to describe the time evolution in the case of nonlocal-in-time…

核理论 · 物理学 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

Results for the antinucleon-nucleon ($\bar NN$) interaction obtained at next-to-next-to-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions…

核理论 · 物理学 2017-08-02 Ling-Yun Dai , Johann Haidenbauer , Ulf-G. Meißner

We show that from analysis of time-ordered diagrams for the two-nucleon $T$-matrix in chiral perturbation theory it follows that low energy nucleon dynamics is governed by the generalized dynamical equation, which was derived in [J.Phys.A.,…

核理论 · 物理学 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

We reformulate the analysis of nuclear parity-violation (PV) within the framework of effective field theory (EFT). To order Q, the PV nucleon-nucleon (NN) interaction depends on five a priori unknown constants that parameterize the…

核理论 · 物理学 2014-11-18 Shi-Lin Zhu , C. M. Maekawa , B. R. Holstein , M. J. Ramsey-Musolf , U van Kolck

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

These lectures are a pedagogical -- not comprehensive -- introduction to the applications of effective field theory in the context of nuclear and atomic physics. A common feature of these applications is the interplay between…

核理论 · 物理学 2019-02-11 U. van Kolck

We analyze the power counting of two-body currents in nuclear effective field theories (EFTs). We find that the existence of non-perturbative physics at low energies, which is manifest in the existence of the deuteron and the 1S0 NN virtual…

核理论 · 物理学 2015-03-05 M. Pavón Valderrama , Daniel R. Phillips

Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most…

核理论 · 物理学 2016-02-04 I. Tews , S. Gandolfi , A. Gezerlis , A. Schwenk

We study a low-energy effective field theory (EFT) describing the NN system in which all exchanged particles are integrated out. We show that fitting the residue of the 3S1 amplitude at the deuteron pole, rather than the 3S1 effective…

核理论 · 物理学 2014-11-18 Daniel R. Phillips , Gautam Rupak , Martin J. Savage

We present fully non-perturbative quantum Monte Carlo calculations with non-local chiral effective field theory (EFT) interactions for the ground state properties of neutron matter. The equation of state, the nucleon chemical potentials and…

核理论 · 物理学 2014-06-11 Alessandro Roggero , Abhishek Mukherjee , Francesco Pederiva

The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in…

核理论 · 物理学 2022-07-21 Hilla De-Leon , Doron Gazit

In recent years, the combination of advanced quantum Monte Carlo (QMC) methods and local interactions derived from chiral effective field theory (EFT) has been shown to provide a versatile and systematic approach to nuclear systems.…

核理论 · 物理学 2019-03-14 Diego Lonardoni , Ingo Tews

Solutions to the nuclear many-body problem rely on effective interactions, and in general effective operators, to take into account effects not included in calculations. These include effects due to the truncation to finite model spaces…

核理论 · 物理学 2013-01-09 I. Stetcu , J. Rotureau
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