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We present a simple and physically compelling boundary condition regularization scheme in the framework of effective field theory as applied to nucleon-nucleon interaction. It is free of off-shell ambiguities and ultraviolet divergences and…

Nuclear Theory · Physics 2008-11-26 M. Pavon Valderrama , E. Ruiz Arriola

The nonperturbative nature of inter-nucleon interactions is explored by varying the momentum cutoff of a two-nucleon potential. Conventional force models, which have large cutoffs, are nonperturbative because of strong short-range…

Nuclear Theory · Physics 2009-11-11 S. K. Bogner , A. Schwenk , R. J. Furnstahl , A. Nogga

The pi- d atom strong energy-level shift in the 1s state is derived by using the effective field theory. Taking into account the large value of radius of pionic deuterium and short radius of strong interaction between pion and deuteron we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. Irgaziev , B. A. Fayzullaev

Elastic scattering of pions from finite nuclei is investigated utilizing a contemporary, momentum--space first--order optical potential combined with microscopic estimates of second--order corrections. The calculation of the first--order…

Nuclear Theory · Physics 2009-10-22 C. M. Chen , D. J. Ernst , M. B. Johnson

Chiral perturbation theory is nowadays a well-established approach to incorporate the chiral constraints from QCD. Nevertheless, for systems involving one baryon, the power counting which dictates the chiral order of observables is not as…

Nuclear Theory · Physics 2014-11-20 Renato Higa

We discuss the connection between the perturbative and non-perturbative renormalization and related conceptual issues in the few-nucleon sector of the low-energy effective field theory of the strong interactions. General arguments are…

Nuclear Theory · Physics 2018-11-14 E. Epelbaum , A. M. Gasparyan , J. Gegelia , Ulf-G. Meißner

We present an effective action for the electroweak sector of the Standard Model valid for the calculation of scattering amplitudes in the high energy (Regge) limit. Gauge invariant Wilson lines are introduced to describe reggeized degrees…

High Energy Physics - Phenomenology · Physics 2021-02-03 Melina Gómez Bock , Martin Hentschinski , Agustín Sabio Vera

We present an effective field theory of the $\Delta$-resonance as an interacting Weinberg's $(3/2,0)\oplus (0,3/2)$ field in the multi-spinor formalism. We derive its interactions with nucleons $N$, pions $\pi$ and photons $\gamma$, and…

High Energy Physics - Phenomenology · Physics 2021-06-18 Juan Carlos Criado , Abdelhak Djouadi , Niko Koivunen , Kristjan Müürsepp , Martti Raidal , Hardi Veermäe

Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an…

High Energy Physics - Theory · Physics 2024-01-12 Subham Dutta Chowdhury , Ruchira Mishra , Dam Thanh Son

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

The reaction $NN \to NN \pi$ offers a good testing ground for chiral effective field theory at intermediate energies. It challenges our understanding of the first inelastic channel in nucleon-nucleon scattering and of the charge-symmetry…

Nuclear Theory · Physics 2016-06-22 V. Baru , E. Epelbaum , A. A. Filin , C. Hanhart , H. Krebs , F. Myhrer

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

Nuclear Theory · Physics 2021-01-19 H. Alanazi , R. Machleidt

This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. I consider $NN$ scattering in $S$-wave channels at momenta well…

Nuclear Theory · Physics 2007-05-23 D. R. Phillips

We derive a perturbation theory (PT) for the Lorentz boost operator in the space of two-nucleon wave functions. The latter is expressed in terms of the nucleon-nucleon ($NN$) potentials, developed so far in great detail for their use in the…

Nuclear Theory · Physics 2025-09-15 Alexander N. Kvinikhidze , Hagop Sazdjian , Boris Blankleider

An effective theory to treat the dense nuclear medium by the perturbative expansion method is proposed as a natural extension of the Heavy Baryon Chiral Perturbation Theory (HBChPT). Treating the Fermi momentum scale as a separate scale of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masayasu Harada , Dong-Pil Min , Tae-Sun Park , Chihiro Sasaki , Chaejun Song

We introduce a new class of effective interactions to be used within the energy-density-functional approaches. They are based on regularized zero-range interactions and constitute a consistent application of the effective-theory methodology…

Nuclear Theory · Physics 2012-10-29 J. Dobaczewski , K. Bennaceur , F. Raimondi

The contributions of non-standard four-neutrino contact interactions to electroweak observables are considered at the one-loop level by using the effective quantum field theory. The analysis is done in terms of three unknown parameters: the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Bilenky , Arcadi Santamaria

In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and…

Nuclear Theory · Physics 2009-11-11 Thomas Schaefer , Chung-Wen Kao , Stephen R. Cotanch

We present a new rearrangement of short-range interactions in the $^1S_0$ nucleon-nucleon channel within Chiral Effective Field Theory. This is intended to reproduce the amplitude zero (scattering momentum $\simeq$ 340 MeV) at leading…

Nuclear Theory · Physics 2018-02-14 M. Sánchez Sánchez , C. -J. Yang , Bingwei Long , U. van Kolck

A non perturbative renormalization scheme for Nucleon-Nucleon interaction based on boundary conditions at short distances is presented and applied to the One Pion Exchange Potential. It is free of off-shell ambiguities and ultraviolet…

Nuclear Theory · Physics 2008-11-26 M. Pavon Valderrama , E. Ruiz Arriola