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.

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 SPECTRUM AND DECAYS OF HADRONIC ATOMS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 358-364 ◽  
Author(s):  
JULIA SCHWEIZER
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Effective Field Theory ◽  
Ground State ◽  
Effective Field ◽  
Isospin Symmetry ◽  
Leading Order ◽  
Isospin Symmetry Breaking ◽  
Hadronic Atoms

We describe the spectra and decays of π+π-and π±K∓atoms within a non-relativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. The prediction for the lifetime of the π±K∓atom in its ground-state yields τ10=(3.7±0.4)·10-15s .

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.

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