Dissecting reaction calculations using halo effective field theory and ab initio input

Capel, P.; Phillips, D. R.; Hammer, H. -W.

doi:10.1103/PhysRevC.98.034610

Title: Dissecting reaction calculations using halo effective field theory and ab initio input

Abstract

Here, we present a description of the breakup of halo nuclei in peripheral nuclear reactions by coupling a model of the projectile motivated by halo effective field theory with a fully dynamical treatment of the reaction using the dynamical eikonal approximation. Our description of the halo system reproduces its long-range properties, i.e., binding energy and asymptotic normalization coefficients of bound states and phase shifts of continuum states. As an application we consider the breakup of ¹¹Be in collisions on Pb and C targets. Taking the input for our halo-EFT-inspired description of ¹¹Be from a recent ab initio calculation of that system yields a good description of the Coulomb-dominated breakup on Pb at energies up to about 2 MeV, with the result essentially independent of the short-distance part of the halo wave function. However, the nuclear dominated breakup on C is more sensitive to short-range physics. The role of spectroscopic factors and possible extensions of our approach to include additional short-range mechanisms are also discussed.

Authors:

Capel, P. ^[1];

^[2]; Hammer, H. -W. ^[3]

Johannes Gutenberg Univ., Mainz (Germany). Inst. of Nuclear Physics; Free Univ. of Brussels (ULB) (Belgium). Nuclear and Quantum Physics; GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI); Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics
GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI); Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics and Dept. of Physics and Astronomy
GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI); Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics

Publication Date:: Fri Sep 21 00:00:00 EDT 2018

Research Org.:: Ohio Univ., Athens, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); European Union (EU); German Federal Ministry of Education and Research (BMBF); German Research Foundation (DFG)

OSTI Identifier:: 1471672

Alternate Identifier(s):: OSTI ID: 1471786

Grant/Contract Number:: FG02-93ER40756; 654002; 05P15RDFN1

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclear reactions; halo nuclei; effective field theory; ab initio calculations

Citation Formats


                    Capel, P., Phillips, D. R., and Hammer, H. -W. Dissecting reaction calculations using halo effective field theory and ab initio input.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.98.034610.

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                    Capel, P., Phillips, D. R., & Hammer, H. -W. Dissecting reaction calculations using halo effective field theory and ab initio input.  United States.  https://doi.org/10.1103/PhysRevC.98.034610

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                    Capel, P., Phillips, D. R., and Hammer, H. -W. Fri .  
"Dissecting reaction calculations using halo effective field theory and ab initio input".  United States.  https://doi.org/10.1103/PhysRevC.98.034610.  https://www.osti.gov/servlets/purl/1471672.

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@article{osti_1471672,

  title        = {Dissecting reaction calculations using halo effective field theory and ab initio input},

  author       = {Capel, P. and Phillips, D. R. and Hammer, H. -W.},

  abstractNote = {Here, we present a description of the breakup of halo nuclei in peripheral nuclear reactions by coupling a model of the projectile motivated by halo effective field theory with a fully dynamical treatment of the reaction using the dynamical eikonal approximation. Our description of the halo system reproduces its long-range properties, i.e., binding energy and asymptotic normalization coefficients of bound states and phase shifts of continuum states. As an application we consider the breakup of 11Be in collisions on Pb and C targets. Taking the input for our halo-EFT-inspired description of 11Be from a recent ab initio calculation of that system yields a good description of the Coulomb-dominated breakup on Pb at energies up to about 2 MeV, with the result essentially independent of the short-distance part of the halo wave function. However, the nuclear dominated breakup on C is more sensitive to short-range physics. The role of spectroscopic factors and possible extensions of our approach to include additional short-range mechanisms are also discussed.},

  doi          = {10.1103/PhysRevC.98.034610},

  journal      = {Physical Review C},

  number       = 3,

  volume       = 98,

  place        = {United States},

  year         = {Fri Sep 21 00:00:00 EDT 2018},

  month        = {Fri Sep 21 00:00:00 EDT 2018}

}

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Title: Dissecting reaction calculations using halo effective field theory and ab initio input

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Reconciling Coulomb breakup and neutron radiative capture journal, July 2017

Ab Initio Description of the Exotic Unbound He 7 Nucleus journal, January 2013

The three-boson system with short-range interactions journal, February 1999

Extraction of the ANC from the 10 Be( d, p ) 11 Be transfer reaction using the ADWA method journal, May 2018

Halos and related structures journal, January 2013

Peripherality of breakup reactions journal, May 2007

Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of Be 7 + p → B 8 + γ journal, May 2014

Renormalization of the Three-Body System with Short-Range Interactions journal, January 1999

Electric properties of the Beryllium-11 system in Halo EFT journal, August 2011

Energy levels of light nuclei A = 11−12 journal, January 1990

Effective-Range Approach and Scaling Laws for Electromagnetic Strength in Neutron-Halo Nuclei journal, September 2004

Interplay Between Valence and Core Excitation Mechanisms in the Breakup of Halo Nuclei journal, December 2012

Energy levels of light nuclei journal, April 2012

Continuum-discretized coupled-channels calculations for three-body models of deuteron-nucleus reactions journal, October 1987

Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of 7 Li + n → 8 Li + γ journal, February 2014

Dynamical eikonal approximation in breakup reactions of Be 11 journal, February 2006

Dynamical description of the breakup of one-neutron halo nuclei 11 Be and 19 C journal, June 2001

Erratum: Scattering and reaction dynamics for the C 12 + p system journal, October 1980

Universal properties and structure of halo nuclei journal, August 2008

Coulomb Dissociation of C 19 and its Halo Structure journal, August 1999

White paper on nuclear astrophysics and low-energy nuclear physics, Part 2: Low-energy nuclear physics journal, May 2017

Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? journal, December 2016

Time-dependent analysis of the breakup of Be 11 on C 12 at 67 MeV ∕ nucleon journal, December 2004

Low energy expansion in the three body system to all orders and the triton channel journal, February 2003

Theoretical and Experimental Perspectives of Nuclear Reaction Studies with Radioactive Ion Beams journal, January 2015

Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory journal, February 2017

Causality and the effective range expansion journal, October 2010

Alpha-nucleus elastic scattering at intermediate energies journal, December 1985

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

Effective theory of the triton journal, August 2000

Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal, March 2013

Influence of the projectile description on breakup calculations journal, January 2006

How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering journal, January 1997

Light dripline nuclei journal, January 2004

Nucleon-Nucleus Optical-Model Parameters, A > 40 , E < 50 MeV journal, June 1969

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system journal, May 2000

Chapter I. Projectile Breakup Processes in Nuclear Reactions journal, January 1986

Causality and universality in low-energy quantum scattering journal, November 2009

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

Effective field theory description of halo nuclei journal, September 2017

Exclusive measurement of breakup reactions with the one-neutron halo nucleus 11 Be journal, September 2003

Neutron halo nuclei journal, February 1996

Erratum: Reconciling Coulomb breakup and neutron radiative capture [Phys. Rev. C 96 , 015801 (2017)] journal, July 2018

Comparing nonperturbative models of the breakup of neutron-halo nuclei journal, April 2012

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

Coulomb breakup mechanism of neutron drip-line nuclei journal, September 1994

D IRECT R EACTIONS WITH E XOTIC N UCLEI journal, December 2003

Higher-order dynamical effects in Coulomb dissociation journal, January 1995

Narrow resonances in effective field theory journal, September 2003

Computational challenges to the development of modern theories of nuclear reactions journal, July 2014

Collisions of Halo Nuclei within a Dynamical Eikonal Approximation journal, August 2005

Beyond the eikonal model for few-body systems journal, March 1997

Unified ab initio approaches to nuclear structure and reactions journal, April 2016

Accurate nuclear radii and binding energies from a chiral interaction journal, May 2015

19C in halo EFT: Effective-range parameters from Coulomb dissociation experiments journal, September 2013

Effective Field Theory and the Gamow Shell Model: The 6He Halo Nucleus journal, May 2012

Scattering and reaction dynamics for the C 12 + p system journal, June 1980

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

New coupled-channel approach to nuclear and Coulomb breakup reactions journal, December 2003

Analysis of Coulomb breakup experiments of B 8 with a dynamical eikonal approximation journal, August 2007

Improving the convergence of NN effective field theory journal, February 2000

Low-energy bound states, resonances, and scattering of light ions journal, November 2019

Low-energy bound states, resonances, and scattering of light ions text, January 2019

Structure of $A = 10 - 13$ Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
journal, July 2007

${}^{6}{He}$ nucleus in halo effective field theory
journal, October 2014

Coulomb and nuclear breakup of a halo nucleus Be11
journal, November 2004

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

Time-dependent analysis of the breakup of halo nuclei
journal, July 2003

Calculations of three-body observables in $^{8} B$ breakup
journal, January 2001

Range corrections for two-neutron halo nuclei in effective theory
journal, May 2010

Reconciling Coulomb breakup and neutron radiative capture
journal, July 2017

Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus
journal, January 2013

The three-boson system with short-range interactions
journal, February 1999

Extraction of the ANC from the ¹⁰ Be( d, p ) ¹¹ Be transfer reaction using the ADWA method
journal, May 2018

Halos and related structures
journal, January 2013

Peripherality of breakup reactions
journal, May 2007

Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of ${}^{7}{Be} + p \to {}^{8}B + γ$
journal, May 2014

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999

Electric properties of the Beryllium-11 system in Halo EFT
journal, August 2011

Energy levels of light nuclei A = 11−12
journal, January 1990

Effective-Range Approach and Scaling Laws for Electromagnetic Strength in Neutron-Halo Nuclei
journal, September 2004

Interplay Between Valence and Core Excitation Mechanisms in the Breakup of Halo Nuclei
journal, December 2012

Energy levels of light nuclei
journal, April 2012

Continuum-discretized coupled-channels calculations for three-body models of deuteron-nucleus reactions
journal, October 1987

Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of $^{7} Li + n \to^{8} Li + γ$
journal, February 2014

Dynamical eikonal approximation in breakup reactions of ${}^{11}{Be}$
journal, February 2006

Dynamical description of the breakup of one-neutron halo nuclei $^{11} Be$ and $^{19} C$
journal, June 2001

Erratum: Scattering and reaction dynamics for the ${}^{12}C$ + $p$ system
journal, October 1980

Universal properties and structure of halo nuclei
journal, August 2008

Coulomb Dissociation of ${}^{19}C$ and its Halo Structure
journal, August 1999

White paper on nuclear astrophysics and low-energy nuclear physics, Part 2: Low-energy nuclear physics
journal, May 2017

Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}{Be}$ ?
journal, December 2016

Time-dependent analysis of the breakup of ${}^{11}{Be}$ on ${}^{12}C$ at $67 MeV ∕ nucleon$
journal, December 2004

Low energy expansion in the three body system to all orders and the triton channel
journal, February 2003

Theoretical and Experimental Perspectives of Nuclear Reaction Studies with Radioactive Ion Beams
journal, January 2015

Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
journal, February 2017

Causality and the effective range expansion
journal, October 2010

Alpha-nucleus elastic scattering at intermediate energies
journal, December 1985

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

Effective theory of the triton
journal, August 2000

Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to $^{7}$ He
journal, March 2013

Influence of the projectile description on breakup calculations
journal, January 2006

How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
journal, January 1997

Light dripline nuclei
journal, January 2004

Nucleon-Nucleus Optical-Model Parameters, $A > 40$ , $E < 50$ MeV
journal, June 1969

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
journal, May 2000

Chapter I. Projectile Breakup Processes in Nuclear Reactions
journal, January 1986

Causality and universality in low-energy quantum scattering
journal, November 2009

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

Effective field theory description of halo nuclei
journal, September 2017

Exclusive measurement of breakup reactions with the one-neutron halo nucleus $^{11} Be$
journal, September 2003

Neutron halo nuclei
journal, February 1996

Erratum: Reconciling Coulomb breakup and neutron radiative capture [Phys. Rev. C 96 , 015801 (2017)]
journal, July 2018

Comparing nonperturbative models of the breakup of neutron-halo nuclei
journal, April 2012

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

Coulomb breakup mechanism of neutron drip-line nuclei
journal, September 1994

D IRECT R EACTIONS WITH E XOTIC N UCLEI
journal, December 2003

Higher-order dynamical effects in Coulomb dissociation
journal, January 1995

Narrow resonances in effective field theory
journal, September 2003

Computational challenges to the development of modern theories of nuclear reactions
journal, July 2014

Collisions of Halo Nuclei within a Dynamical Eikonal Approximation
journal, August 2005

Beyond the eikonal model for few-body systems
journal, March 1997

Unified ab initio approaches to nuclear structure and reactions
journal, April 2016

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

19C in halo EFT: Effective-range parameters from Coulomb dissociation experiments
journal, September 2013

Effective Field Theory and the Gamow Shell Model: The 6He Halo Nucleus
journal, May 2012

Scattering and reaction dynamics for the ${}^{12}C$ + $p$ system
journal, June 1980

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

New coupled-channel approach to nuclear and Coulomb breakup reactions
journal, December 2003

Analysis of Coulomb breakup experiments of ${}^{8}B$ with a dynamical eikonal approximation
journal, August 2007

Improving the convergence of NN effective field theory
journal, February 2000

Low-energy bound states, resonances, and scattering of light ions
journal, November 2019

Low-energy bound states, resonances, and scattering of light ions
text, January 2019