The ratio method: A new tool to study one-neutron halo nuclei

Capel, Pierre; Johnson, Ronald C.; Nunes, F. M.

doi:10.1103/physrevc.88.044602

Cited by 13 publications

(100 citation statements)

References 52 publications

(181 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further tests have confirmed its independence to the reaction mechanism: the ratio computed for a carbon target is nearly identical to the one obtained on lead (see Fig. 1(right)) [5,6]. Moreover, we have observed that the ratio can give access simultaneously to both the binding energy of the system and the orbital angular momentum of the halo neutron [5,6].…”

Section: Be As a Test Casesupporting

confidence: 57%

“…This cross section corresponds to all quasi-elastic processes: elastic and inelastic scattering as well as breakup to all energies E in the c-n continuum. Using this cross section the REB prediction for the ratio becomes simply the form factor |F E,0 | 2 (5) [5,6] dσ bu /dEdΩ dσ sum /dΩ…”

Section: Be As a Test Casementioning

confidence: 99%

“…As a test case, we consider the collision of 11 Be on Pb at 69AMeV, which correspond to the RIKEN experiment [2], with which the DEA is in excellent agreement [10]. Various tests have led us to choose instead of the elastic-scattering cross section (4), the summed cross section dσ sum /dΩ to evaluate the ratio [6]. This cross section corresponds to all quasi-elastic processes: elastic and inelastic scattering as well as breakup to all energies E in the c-n continuum.…”

Section: Be As a Test Casementioning

confidence: 99%

“…To circumvent this problem, we suggest a new observable that is nearly independent of the reaction mechanism and that is therefore more sensitive to the projectile structure than usual breakup or elasticscattering cross sections [5,6]. This observable consists of the ratio of angular distributions for two different processes such as breakup and elastic scattering.…”

Section: Introductionmentioning

confidence: 99%

“…They hence form a sort of halo around a compact core that contains the other nucleons. The best known halo nuclei are 11 Be and 15 C with a one-neutron halo, and 6 He and 11 Li with two neutrons in their halo. Albeit possible, proton halos are less probable due to the presence of the Coulomb barrier between the core and the valence protons, which hinder the development of a long tail in the wave function.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The ratio method: a new way to look at halo nuclei

Capel

Johnson

Nunes

2014

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract.A new reaction observable is presented to study exotic loosely-bound structures, such as halo nuclei. It consists of the ratio of two angular distributions, e. g. one for breakup and one for elastic scattering. This ratio is nearly independent of the reaction mechanism and is very sensitive to the projectile structure. This new ratio method is illustrated on the particular case of 11 Be, the archetypal one-neutron halo nucleus.

show abstract

Section: Be As a Test Casesupporting

confidence: 57%

Section: Be As a Test Casementioning

confidence: 99%

Section: Be As a Test Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The ratio method: a new way to look at halo nuclei

Capel

Johnson

Nunes

2014

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

show abstract

Few-Body Bound States and Resonances in Finite Volume

König

2020

Few-Body Syst

View full text Add to dashboard Cite

Since the pioneering work of Lüscher in the 1980s it is well known that considering quantum systems in finite volume, specifically, finite periodic boxes, can be used as a powerful computational tool to extract physical observables. While this formalism has been worked out in great detail in the two-body sector, much effort is currently being invested into deriving analogous relations for systems with more constituents. This work is relevant not only for nuclear physics, where lattice methods are now able to calculate few-and manynucleon states, but also for other fields such as simulations of cold atoms. This article discusses recent progress regarding the extraction of few-body bound-state and resonance properties from finite-volume calculations of systems with an arbitrary number of constituents. This contribution has been presented during the ceremony of the Few-Body Systems Award for young professionals.

show abstract

Volume dependence of N-body bound states

König

Lee

2018

Physics Letters B

View full text Add to dashboard Cite

We derive the finite-volume correction to the binding energy of an N -particle quantum bound state in a cubic periodic volume. Our results are applicable to bound states with arbitrary composition and total angular momentum, and in any number of spatial dimensions. The only assumptions are that the interactions have finite range. The finite-volume correction is a sum of contributions from all possible breakup channels. In the case where the separation is into two bound clusters, our result gives the leading volume dependence up to exponentially small corrections. If the separation is into three or more clusters, there is a power-law factor that is beyond the scope of this work, however our result again determines the leading exponential dependence. We also present two independent methods that use finite-volume data to determine asymptotic normalization coefficients. The coefficients are useful to determine low-energy capture reactions into weakly bound states relevant for nuclear astrophysics. Using the techniques introduced here, one can even extract the infinite-volume energy limit using data from a single-volume calculation. The derived relations are tested using several exactly solvable systems and numerical examples. We anticipate immediate applications to lattice calculations of hadronic, nuclear, and cold atomic systems.

show abstract

The ratio method: A new tool to study one-neutron halo nuclei

Cited by 13 publications

References 52 publications

The ratio method: a new way to look at halo nuclei

The ratio method: a new way to look at halo nuclei

Few-Body Bound States and Resonances in Finite Volume

Volume dependence of N-body bound states

Contact Info

Product

Resources

About