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Investigations of three-body nuclear systems using pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$) are reviewed. The history of $\mathrm{EFT}_{\not{\pi}}$ in $nd$ and $pd$ scattering is briefly discussed and emphasis put on the…

核理论 · 物理学 2016-09-13 Jared Vanasse

The use of leading order effective field theory (EFT) to describe neutron-deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach…

核理论 · 物理学 2007-05-23 B. Blankleider , J. Gegelia

We formulate a renormalizable pionless effective field theory (Pionless EFT) with a non-perturbative treatment of the Coulomb interaction up to next-to-leading order (NLO) for few-nucleon systems. We extract scattering observables for…

核理论 · 物理学 2025-07-23 Matúš Rojik , Martin Schäfer , Mirko Bagnarol , Nir Barnea

Polarization observables in neutron-deuteron scattering are calculated to next-to-next-to-next-to-leading order ($\mathrm{N}^{3}\mathrm{LO}$) in pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$). At $\mathrm{N}^{3}\mathrm{LO}$…

核理论 · 物理学 2016-06-08 Arman Margaryan , Roxanne P. Springer , Jared Vanasse

Within the framework of non-relativistic scalar effective field theory it is shown that the problem of the cutoff dependence of the leading order amplitude for a particle scattering off a two-body bound state can be solved without…

核理论 · 物理学 2011-03-28 J. Gegelia

We investigate the sensitivity of the three-nucleon system to changes in the neutron-neutron scattering length to next-to-leading order in the pionless effective field theory, focusing on the the triton-3He binding energy difference and…

核理论 · 物理学 2015-06-19 H. W. Hammer , Sebastian König

We present a comprehensive theoretical study of low-energy few nucleon scattering for systems with $A\leq 4$. To this end, we utilize pionless effective field theory, which we employ at next-to-leading order. We show that at this level the…

核理论 · 物理学 2023-06-09 Martin Schäfer , Betzalel Bazak

We calculate low-energy proton--deuteron scattering in the framework of pionless effective field theory. In the quartet channel, we calculate the elastic scattering phase shift up to next-to-next-to-leading order in the power counting. In…

核理论 · 物理学 2015-03-18 Sebastian König , H. -W. Hammer

We present the first five-body calculations of $s$-wave $n$-$^4$He scattering within leading order and next-to-leading order (NLO) pionless effective field theory. Using an harmonic oscillator trap technique and pionless effective field…

核理论 · 物理学 2023-08-09 Mirko Bagnarol , Martin Schäfer , Betzalel Bazak , Nir Barnea

We analyze how corrections linear in the effective range, r_0, affect quantities in the three-body sector within an effective field theory for short-range interactions. We demonstrate that observables can be obtained straightforwardly using…

核理论 · 物理学 2013-09-09 Chen Ji , Daniel R. Phillips , Lucas Platter

We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using…

核理论 · 物理学 2022-07-26 Sebastian Dietz , Hans-Werner Hammer , Sebastian König , Achim Schwenk

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron…

核理论 · 物理学 2019-08-14 Young-Ho Song , Rimantas Lazauskas , U. van Kolck

We extend and systematise the power counting for the three-body system, in the context of the ``pion-less'' Effective Field Theory approach, to all orders in the low-energy expansion. We show that a sub-leading part of the three-body force…

核理论 · 物理学 2009-11-07 Paulo F. Bedaque , Harald W. Griesshammer , H. -W. Hammer , Gautam Rupak

This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in…

核理论 · 物理学 2017-05-15 Sebastian König

We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-body force terms. We find that three-body terms appear at…

核理论 · 物理学 2007-05-23 T. Barford , M. C. Birse

The Effective Field Theory "without pions" at next-to-leading order is used to analyze universal bound state and scattering properties of the 3- and 4-nucleon system. Results of a variety of phase shift equivalent nuclear potentials are…

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

核理论 · 物理学 2013-11-21 Chen Ji , Daniel R. Phillips

A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: i) predictions with next-to-leading-order (non-perturbatively) accuracy for the 4-helium…

核理论 · 物理学 2015-06-03 Johannes Kirscher

The pionless effective field theory (EFT) is the appropriate low-energy EFT for short-range interactions that display a large scattering length. It has been successfully applied in atomic, nuclear and particle physics. We give an overview…

核理论 · 物理学 2014-11-20 Lucas Platter

A systematic connection between QCD and nuclear few- and many-body properties in the form of the Effective Field Theory "without pions" is applied to $A\le 6$ nuclei to determine its range of applicability. We present results at…

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