skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on November 6, 2020

Title: Low-energy bound states, resonances, and scattering of light ions

Abstract

Here, we describe bound states, resonances, and elastic scattering of light ions using a δ-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems d+α, 3H+α, 3He+α, α+α, and p+ 16O. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of 17F.

Authors:
 [1]; ORCiD logo [2]
  1. Tennessee Technological Univ., Cookeville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Univ. of Tennessee, Knoxville, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1593549
Grant/Contract Number:  
FG02-96ER40963; SC0016988; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; cluster models; nuclear astrophysics; nuclear forces

Citation Formats

Luna, Benjamin K., and Papenbrock, T. Low-energy bound states, resonances, and scattering of light ions. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.100.054307.
Luna, Benjamin K., & Papenbrock, T. Low-energy bound states, resonances, and scattering of light ions. United States. doi:10.1103/PhysRevC.100.054307.
Luna, Benjamin K., and Papenbrock, T. Wed . "Low-energy bound states, resonances, and scattering of light ions". United States. doi:10.1103/PhysRevC.100.054307.
@article{osti_1593549,
title = {Low-energy bound states, resonances, and scattering of light ions},
author = {Luna, Benjamin K. and Papenbrock, T.},
abstractNote = {Here, we describe bound states, resonances, and elastic scattering of light ions using a δ-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems d+α, 3H+α, 3He+α, α+α, and p+16O. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of 17F.},
doi = {10.1103/PhysRevC.100.054307},
journal = {Physical Review C},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 6, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

dt, d 3He, and pα scattering in the vicinity of the 5He* and 5Li* resonances
journal, January 2003

  • Kulik, A. V.; Mur, V. D.
  • Physics of Atomic Nuclei, Vol. 66, Issue 1
  • DOI: 10.1134/1.1540661

Tests of transfer reaction determinations of astrophysical S factors
journal, February 1999


Phase-shift parametrization and extraction of asymptotic normalization constants from elastic-scattering data
journal, September 2017


Effective field theory for halo nuclei: shallow -wave states
journal, December 2002


Scattering length and effective range for collisions between light ions within a microscopic model
journal, July 2007


Range corrections in proton halo nuclei
journal, April 2016


Halo Properties of the First 1 / 2 + State in F 17 from the O 16 ( p , γ ) F 17 Reaction
journal, November 1997


Polarization of Protons Elastically Scattered by Oxygen
journal, January 1965


Formulas for the δ -shell-plus-Coulomb potential for all partial waves
journal, December 1982


Study of the nucleon radiative captures 8Li(n,γ)9Li, 9Be(p,γ)10B, 10Be(n,γ)11Be, 10B(p,γ)11C, and 16O(p,γ)17F at thermal and astrophysical energies
journal, March 2017

  • Dubovichenko, Sergey; Dzhazairov-Kakhramanov, Albert
  • International Journal of Modern Physics E, Vol. 26, Issue 03
  • DOI: 10.1142/S0218301316300095

Radiative capture of nucleons at astrophysical energies with single-particle states
journal, November 2010

  • Huang, J. T.; Bertulani, C. A.; Guimarães, V.
  • Atomic Data and Nuclear Data Tables, Vol. 96, Issue 6
  • DOI: 10.1016/j.adt.2010.06.004

A recipe for EFT uncertainty quantification in nuclear physics
journal, February 2015

  • Furnstahl, R. J.; Phillips, D. R.; Wesolowski, S.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034028

Simple potential model for cluster states in light nuclei
journal, May 1975


Vector-polarization measurements and phase-shift analysis for d-α scattering between 3 and 11 MeV
journal, November 1970


Extrapolation of scattering data to the negative-energy region. III. Application to the p O 16 system
journal, December 2018


Effective-range function methods for charged particle collisions
journal, April 2018


αα scattering in halo effective field theory
journal, September 2008


Universal physics of bound states of a few charged particles
journal, November 2019


Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces
journal, May 2015


Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
journal, June 1999


Causality bounds for neutron-proton scattering
journal, August 2012


Infrared extrapolations for atomic nuclei
journal, February 2015

  • Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034032

Dissecting reaction calculations using halo effective field theory and ab initio input
journal, September 2018


E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002


Table of experimental nuclear ground state charge radii: An update
journal, January 2013


Alpha-particle and triton cluster states in 19F
journal, April 1977


Compilation and R-matrix analysis of Big Bang nuclear reaction rates
journal, September 2004

  • Descouvemont, Pierre; Adahchour, Abderrahim; Angulo, Carmen
  • Atomic Data and Nuclear Data Tables, Vol. 88, Issue 1
  • DOI: 10.1016/j.adt.2004.08.001

New measurements and phase shift analysis of p 16 O elastic scattering at astrophysical energies
journal, January 2017

  • Dubovichenko, Sergey; Burtebayev, Nassurlla; Dzhazairov-Kakhramanov, Albert
  • Chinese Physics C, Vol. 41, Issue 1
  • DOI: 10.1088/1674-1137/41/1/014001

Alpha-Alpha Scattering at Low Energies
journal, October 1956


Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient
journal, August 2011


Error estimates of theoretical models: a guide
journal, May 2014

  • Dobaczewski, J.; Nazarewicz, W.; Reinhard, P-G
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7
  • DOI: 10.1088/0954-3899/41/7/074001

Electromagnetic strength of neutron and proton single-particle halo nuclei
journal, September 2005


Systematic Survey of the α α Interaction
journal, January 1969


Phase-shift analysis of d-α elastic scattering between 3 and 17 MeV
journal, April 1975


Scattering of He 3 by He 4 and of He 4 by Tritium
journal, November 1967


Scattering of 3He and 4He from polarized 3He between 4 and 10 MeV
journal, November 1972


Ab initio alpha–alpha scattering
journal, December 2015

  • Elhatisari, Serdar; Lee, Dean; Rupak, Gautam
  • Nature, Vol. 528, Issue 7580
  • DOI: 10.1038/nature16067

Causality constraints for charged particles
journal, March 2013

  • König, Sebastian; Lee, Dean; Hammer, H-W
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 4
  • DOI: 10.1088/0954-3899/40/4/045106

Influence of low-energy scattering on loosely bound states
journal, January 2010


Coulomb problem with short-range interaction: Exactly solvable model
journal, November 1985

  • Mur, V. D.; Popov, V. S.
  • Theoretical and Mathematical Physics, Vol. 65, Issue 2
  • DOI: 10.1007/BF01017937

Effective field theory description of halo nuclei
journal, September 2017

  • Hammer, H-W; Ji, C.; Phillips, D. R.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10
  • DOI: 10.1088/1361-6471/aa83db

Polarization and phase shifts in 12C(p,p)12C and 16O(p,p)16O from 1.5 to 3 MeV
journal, September 1967


He 3 ( α , γ ) Be 7 and H 3 ( α , γ ) Li 7 astrophysical S factors from the no-core shell model with continuum
journal, June 2016


Bayesian methods for parameter estimation in effective field theories
journal, March 2009


Lower Limit for the Energy Derivative of the Scattering Phase Shift
journal, April 1955


Effective range analysis of s- and d-wave α-α scattering
journal, March 1967


Precise Coulomb wave functions for a wide range of complex ℓ, η and z
journal, February 2007


Microscopic self-consistent study of neon halos with resonant contributions
journal, March 2014


α + d → Li 6 + γ astrophysical S factor and its implications for Big Bang nucleosynthesis
journal, October 2017


Theoretical analysis of the astrophysical S-factor for the capture reaction α + d → 6Li + γ in the two-body model
journal, March 2015

  • Tursunov, E. M.; Turakulov, S. A.; Descouvemont, P.
  • Physics of Atomic Nuclei, Vol. 78, Issue 2
  • DOI: 10.1134/S1063778815010196

Coulomb corrections in non-relativistic scattering
journal, January 1973


Ab Initio Computation of the F 17 Proton Halo State and Resonances in A = 17 Nuclei
journal, May 2010


Solar fusion cross sections. II. The p p chain and CNO cycles
journal, April 2011

  • Adelberger, E. G.; García, A.; Robertson, R. G. Hamish
  • Reviews of Modern Physics, Vol. 83, Issue 1
  • DOI: 10.1103/RevModPhys.83.195

Ab Initio Many-Body Calculations of n H 3 , n He 4 , p He 3 , 4 , and n Be 10 Scattering
journal, August 2008


Reexamination of the astrophysical S factor for the α + d 6 Li+ γ reaction
journal, May 2011

  • Mukhamedzhanov, A. M.; Blokhintsev, L. D.; Irgaziev, B.  F.
  • Physical Review C, Vol. 83, Issue 5
  • DOI: 10.1103/PhysRevC.83.055805

Energy-dependent phase-shift analysis of H 2 + 4 He scattering in the energy range 0.87< E d <5.24 MeV
journal, February 1991

  • Krasnopol’sky, V. M.; Kukulin, V. I.; Kuznetsova, E. V.
  • Physical Review C, Vol. 43, Issue 2
  • DOI: 10.1103/PhysRevC.43.822

Effective field theory for proton halo nuclei
journal, January 2014


Six-body calculation of the α -deuteron radiative capture cross section
journal, January 2001


Constraining low-energy proton capture on beryllium-7 through charge radius measurements
journal, November 2014

  • Ryberg, Emil; Forssén, Christian; Hammer, H. -W.
  • The European Physical Journal A, Vol. 50, Issue 11
  • DOI: 10.1140/epja/i2014-14170-2

Effective field theory for nuclear vibrations with quantified uncertainties
journal, December 2015


Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions
journal, February 2016


Radiative 3He( $\alpha , \gamma$ α , γ )7Be reaction in halo effective field theory
journal, May 2018


Determination of the α 6 + d vertex constant (asymptotic coefficient) from the He 4 + d phase-shift analysis
journal, November 1993


A Boundary Value Condition for Proton-Proton Scattering
journal, November 1948