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We further progress along the line of Ref. [Phys. Rev. {\bf A 94}, 043614 (2016)] where a functional for Fermi systems with anomalously large $s$-wave scattering length $a_s$ was proposed that has no free parameters. The functional is…

Nuclear Theory · Physics 2017-05-24 Denis Lacroix , Antoine Boulet , Marcella Grasso , C. -J. Yang

The characteristics of a meaningful effective field theory (EFT) analysis are discussed and compared with traditional approaches to NN scattering. A key feature of an EFT treatment is a systematic expansion in powers of momentum, which is…

Nuclear Theory · Physics 2007-05-23 James V. Steele

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem

We study the two-alpha-particle (alpha-alpha) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow…

Nuclear Theory · Physics 2008-11-26 R. Higa , H. -W. Hammer , U. van Kolck

We study a self-interacting scalar field theory in the presence of a \delta-function background potential. The role of surface interactions in obtaining a renormalizable theory is stressed and demonstrated by a two-loop calculation. The…

High Energy Physics - Theory · Physics 2015-06-04 David J. Toms

We present a novel Renormalization Group (RG) framework based on a nonlocal effective action ansatz to tame the strong coupling dynamics of the three-dimensional relativistic $\phi^{4}$ theory. By implementing a Hubbard-Stratonovich…

Strongly Correlated Electrons · Physics 2026-05-22 Seung-Jong Yoo , Hyeon Jung Kim , Jinmo Bok , Lemuel John Sese , Semin Park , Ki-Seok Kim

The validity range of the widely used traditional effective range expansion can be severely limited by the presence of a left-hand cut near the two-particle threshold. Such a left-hand cut emerges in two-particle scattering processes…

High Energy Physics - Phenomenology · Physics 2025-02-28 Meng-Lin Du , Feng-Kun Guo , Bing Wu

We show that the non-relativistic theory of mutual coherence and localization in Coulomb-disordered media can be extended to relativistic electron beams used in transmission electron microscopy (TEM). Starting from the Dirac equation, we…

Disordered Systems and Neural Networks · Physics 2026-05-20 Yury A. Budkov

Coherent elastic neutrino-nucleus scattering (CE$\nu$NS) stands out as a pivotal process for precision tests of the Standard Model electroweak sector, investigations of neutrino properties, and searches for new physics (NP). Recent…

High Energy Physics - Phenomenology · Physics 2026-01-28 Gang Li , Chuan-Qiang Song , Feng-Jie Tang , Jiang-Hao Yu

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

Materials Science · Physics 2013-04-03 Eli Kraisler , Leeor Kronik

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive…

Nuclear Theory · Physics 2020-05-19 Mehdi Drissi , Thomas Duguet , Vittorio Soma

Nuclear energy density functionals (EDFs) have a long history of success in reproducing properties of nuclei across the table of the nuclides. They capture quantitatively the emergent features of bound nuclei, such as nuclear saturation and…

Nuclear Theory · Physics 2020-06-24 R. J. Furnstahl

The ELYO functional proposed in [M. Grasso, D. Lacroix, and C. J. Yang, Phys. Rev. C \textbf{95}, 054327 (2017)] belongs to the family of energy-density functionals (EDFs) inspired by effective-field theories (EFTs) and constrained by…

Nuclear Theory · Physics 2020-06-22 Jeremy Bonnard , Marcella Grasso , Denis Lacroix

We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff…

High Energy Physics - Theory · Physics 2009-10-30 Daniel R. Phillips , Silas R. Beane , Thomas D. Cohen

High precision angular distribution data of ($\alpha$,$\alpha$) elastic scattering are presented for the nuclei $^{89}$Y, $^{92}$Mo, $^{106,110,116}$Cd, $^{112,124}$Sn, and $^{144}$Sm at energies around the Coulomb barrier. Such data with…

Nuclear Experiment · Physics 2015-05-05 P. Mohr , G. G. Kiss , Zs. Fülöp , D. Galaviz , Gy. Gyürky , E. Somorjai

We construct a new phase-field model for the solvation of charged molecules with a variational implicit solvent. Our phase-field free-energy functional includes the surface energy, solute-solvent van der Waals dispersion energy, and…

Numerical Analysis · Mathematics 2017-12-07 Yanxiang Zhao , Yanping Ma , Hui Sun , Bo Li , Qiang Du

Nucleon-nucleon scattering in the $^1S_0$ partial wave is considered in chiral effective field theory within the renormalizable formulation of Ref. [1] beyond the leading-order approximation. By applying subtractive renormalization, the…

Nuclear Theory · Physics 2015-01-07 E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs

We study the limits of the energy resolution that can be achieved in the calculations of spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique with interleaving (z-averaging). We show that…

Strongly Correlated Electrons · Physics 2009-03-05 Rok Zitko , Thomas Pruschke

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with…

Nuclear Theory · Physics 2013-04-30 Bingwei Long , C. -J. Yang

Proton-proton fusion is considered in the effective field theory of Kaplan, Savage and Wise. Coulomb effects are included systematically in a non-perturbative way. Including the dimension-eight derivative coupling which determines the…

Nuclear Theory · Physics 2009-10-31 Xinwei Kong , Finn Ravndal