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An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

核理论 · 物理学 2009-10-30 David B. Kaplan

Nuclear effective field theory is applied to the effective range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective range expansion in the same way as in the…

核理论 · 物理学 2011-05-12 Ryoichi Seki , U. van Kolck

We investigate in detail the effect of making the range of the ``contact'' interaction used in effective field theory (EFT) calculations of NN scattering finite. This is done in both an effective field theory with explicit pions, and one…

核理论 · 物理学 2008-11-26 K. A. Scaldeferri , D. R. Phillips , C. -W. Kao , T. D. Cohen

Effective field theory of the in-medium nucleon-nucleon interaction is considered. The effective range parameters are found to be of a natural scale. The low density limit is discussed both in perturbative and nonperturbative situations. In…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Krippa

Studies of cold atom collisions and few-body interactions often require the energy dependence of the scattering phase shift, which is usually expressed in terms of an effective-range expansion. We use accurate coupled-channel calculations…

量子气体 · 物理学 2014-04-25 Caroline L. Blackley , Paul S. Julienne , Jeremy M. Hutson

It is shown that the relativistic zero-range potential scattering surpasses Wigner's causality bound, while being consistent with causality. The relativistic theory shows in addition a richer analytic structure, such as a $K$-matrix pole…

核理论 · 物理学 2016-01-26 Vladimir Pascalutsa

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…

核理论 · 物理学 2018-02-14 M. Sánchez Sánchez , C. -J. Yang , Bingwei Long , U. van Kolck

We calculate the nucleon-nucleon scattering amplitudes in the 1S0 and 3S1-3D1 channels at next-to-next to leading order starting from a recently proposed non-relativistic chiral effective theory, which includes dibaryon fields as…

核理论 · 物理学 2010-04-06 Joan Soto , Jaume Tarrus

We apply the renormalisation group (RG) to analyse scattering by short-range forces in systems with coupled channels. For two S-wave channels, we find three fixed points, corresponding to systems with zero, one or two bound or virtual…

核理论 · 物理学 2012-02-29 Vadim Lensky , Michael C. Birse

Singular potentials (the inverse-square potential, for example) arise in many situations and their quantum treatment leads to well-known ambiguities in choosing boundary conditions for the wave-function at the position of the potential's…

高能物理 - 唯象学 · 物理学 2017-05-24 C. P. Burgess , Peter Hayman , Matt Williams , Laszlo Zalavari

The properties of low-energy neutron-proton systems are studied in an effective field theory where only nucleons figure as relevant degrees of freedom. With a finite momentum cut-off regularization scheme, we show that the large scattering…

高能物理 - 唯象学 · 物理学 2007-05-23 Tae-Sun Park

A complete and consistent inversion technique is proposed to derive an accurate interaction potential from an effective-range function for a given partial wave in the neutral case. First, the effective-range function is Taylor or Pad\'e…

The most dramatic "Sommerfeld enhancements" of neutral-wino-pair annihilation occur when the wino mass is near a critical value where there is a zero-energy S-wave resonance at the neutral-wino-pair threshold. Near such a critical mass,…

高能物理 - 唯象学 · 物理学 2017-12-06 Eric Braaten , Evan Johnson , Hong Zhang

Inspired by the problem of Planckian scattering we describe a classical effective field theory for weak ultra relativistic scattering in which field propagation is instantaneous and transverse and the particles' equations of motion localize…

高能物理 - 理论 · 物理学 2011-08-08 Barak Kol

We develop an effective field theory approach for the $S$-wave quarkonium-nucleon system. We adopt a natural power counting equivalent to Weinberg's power counting in nucleon-nucleon effective field theories and compute the…

高能物理 - 唯象学 · 物理学 2018-08-01 Jaume Tarrús Castellà , Gastão Krein

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

核理论 · 物理学 2008-11-26 Thomas D. Cohen

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…

核理论 · 物理学 2012-10-29 J. Dobaczewski , K. Bennaceur , F. Raimondi

We consider an effective field theory of NN system in nuclear medium. The shallow bound states, which complicate the effective field theory analysis and lead to the large scattering length in the vacuum case do not exist in matter. We study…

高能物理 - 唯象学 · 物理学 2009-10-31 B. Krippa

While chiral perturbation theory for mesons is characterized by a momentum expansion in $Q/\Lambda_\chi$ with $\Lambda_\chi \sim 1$ GeV, existing formulations of effective theory for nucleon-nucleon scattering deviate from data at $Q\sim…

核理论 · 物理学 2026-04-10 Cullen Gantenberg , David B. Kaplan

We extend previous halo effective field theory analyses of low-energy elastic scattering of $^{3}$He-$^{4}$He, including the $\frac{7}{2}^{-}$ $f$-wave resonance as an explicit degree of freedom. The presence of this resonance necessitates…

核理论 · 物理学 2025-11-27 Andrius Burnelis , Daniel R. Phillips
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