scholarly journals Constraining the neutron-neutron scattering length using the effective field theory without explicit pions

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
Johannes Kirscher ◽  
Daniel R. Phillips
Keyword(s):  
Field Theory ◽  
Neutron Scattering ◽  
Effective Field Theory ◽  
Scattering Length ◽  
Effective Field

scholarly journals Hypernuclei in halo/cluster effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641005 ◽  
Author(s):  
Shung-Ichi Ando
Keyword(s):  
Field Theory ◽  
Limit Cycle ◽  
Effective Field Theory ◽  
Bound States ◽  
Scattering Length ◽  
Bound State ◽  
High Energy ◽  
Effective Field ◽  
Unitary Limit ◽  
Energy Mechanism

The light double [Formula: see text] hypernuclei, [Formula: see text] and [Formula: see text], are studied as three-body [Formula: see text] and [Formula: see text] cluster systems in halo/cluster effective field theory at leading order. We find that the [Formula: see text] system in spin-0 channel does not exhibit a limit cycle whereas the [Formula: see text] system in spin-1 channel and the [Formula: see text] system in spin-0 channel do. The limit cycle is associated with the formation of bound states, known as Efimov states, in the unitary limit. For the [Formula: see text] system in the spin-0 channel we estimate the scattering length [Formula: see text] for [Formula: see text]-wave [Formula: see text] hyperon–hypertriton scattering as [Formula: see text][Formula: see text]fm. We also discuss that studying the cutoff dependences in the [Formula: see text] and [Formula: see text] systems, the bound state of [Formula: see text] is not an Efimov state but formed due to a high energy mechanism whereas that of [Formula: see text] may be regarded as an Efimov state.

scholarly journals Beryllium-9 in cluster effective field theory

2020 ◽  
Author(s):  
Elena Filandri ◽  
Paolo Andreatta ◽  
Carlo A. Manzata ◽  
Chen Ji ◽  
Win Leidemann ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Ground State ◽  
Integral Transform ◽  
Scattering Length ◽  
Effective Field ◽  
Lorentz Integral Transform ◽  
Distance Dependence ◽  
Non Local ◽  
Potential Parameters

We study the ^99Be ground-state energy with non-local \alpha nαn and \alpha \alphaαα potentials derived from Cluster Effective Field Theory. The short-distance dependence of the interaction is regulated with a momentum cutoff. The potential parameters are fitted to reproduce the scattering length and effective range. We implement such potential models in a Non-Symmetrized Hyperspherical Harmonics (NSHH) code in momentum space. In addition we calculate ground-state energies of various alpha nuclei. Work is in progress on a calculation of the photodisintegration of ^99Be with the Lorentz Integral Transform (LIT) method.

PION DEUTERON SCATTERING LENGTH IN EFFECTIVE FIELD THEORY

2003 ◽  
Vol 12 (01) ◽  
pp. 65-80 ◽  
Author(s):  
BUGRA BORASOY ◽  
HARALD W. GRIEßHAMMER
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Effective Field Theory ◽  
Scattering Length ◽  
Effective Field ◽  
Theory Approach ◽  
S Wave ◽  
Unknown Parameters ◽  
Deuteron Scattering ◽  
Nucleon System

The S wave pion deuteron scattering length is presented in an effective field theory approach of the two-nucleon system. We include pions as dynamical particles which allows us to calculate pion re-scattering contributions inside the deuteron. Two-nucleon two-pion contact interactions with unknown parameters not determined by chiral symmetry need to be introduced in order to renormalise the appearing divergences. By choosing their values accordingly we are able to accommodate the available experimental data.

Effective Field Theory in Particle Physics and Cosmology

2020 ◽  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Large Scale ◽  
Effective Field ◽  
Effective Theory ◽  
Soft Collinear Effective Theory ◽  
Multiple Length Scales ◽  
Cosmological Observations ◽  
Standard Models

Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.

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