Neutron transfer reactions in halo effective field theory

Schmidt, M.; Platter, L.; Hammer, H. -W.

doi:10.1103/PhysRevC.99.054611

Title: Neutron transfer reactions in halo effective field theory

Abstract

Direct reaction experiments provide a powerful tool to probe the structure of neutron-rich nuclei like beryllium-11. We use halo effective field theory to calculate the cross section of the deuteron-induced neutron transfer reaction 10Be(d,p)11Be. The effective theory contains dynamical fields for the beryllium-10 core, the neutron, and the proton. In contrast, the deuteron and the beryllium-11 halo nucleus are generated dynamically from contact interactions using experimental and ab initio input. Breakup contributions are then included by construction. The reaction amplitude is constructed up to next-to-leading order in an expansion in the ratio of the length scales characterizing the core and the halo. The Coulomb repulsion between core and proton is treated perturbatively. Finally, we compare our results to cross-section data and other calculations.

Authors:

Schmidt, M. ^[1]; Platter, L. ^[2]; Hammer, H. -W. ^[3]

Technical Univ. of Darmstadt (Germany); Univ. of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Technical Univ. of Darmstadt (Germany); GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)

Publication Date:: Mon May 13 00:00:00 EDT 2019

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1512444

Alternate Identifier(s):: OSTI ID: 1512343; OSTI ID: 1822105

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 99; 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

Citation Formats


                    Schmidt, M., Platter, L., and Hammer, H. -W. Neutron transfer reactions in halo effective field theory.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevC.99.054611.

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                    Schmidt, M., Platter, L., & Hammer, H. -W. Neutron transfer reactions in halo effective field theory.  United States.  https://doi.org/10.1103/PhysRevC.99.054611

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                    Schmidt, M., Platter, L., and Hammer, H. -W. Mon .  
"Neutron transfer reactions in halo effective field theory".  United States.  https://doi.org/10.1103/PhysRevC.99.054611.  https://www.osti.gov/servlets/purl/1512444.

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@article{osti_1512444,

  title        = {Neutron transfer reactions in halo effective field theory},

  author       = {Schmidt, M. and Platter, L. and Hammer, H. -W.},

  abstractNote = {Direct reaction experiments provide a powerful tool to probe the structure of neutron-rich nuclei like beryllium-11. We use halo effective field theory to calculate the cross section of the deuteron-induced neutron transfer reaction 10Be(d,p)11Be. The effective theory contains dynamical fields for the beryllium-10 core, the neutron, and the proton. In contrast, the deuteron and the beryllium-11 halo nucleus are generated dynamically from contact interactions using experimental and ab initio input. Breakup contributions are then included by construction. The reaction amplitude is constructed up to next-to-leading order in an expansion in the ratio of the length scales characterizing the core and the halo. The Coulomb repulsion between core and proton is treated perturbatively. Finally, we compare our results to cross-section data and other calculations.},

  doi          = {10.1103/PhysRevC.99.054611},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Mon May 13 00:00:00 EDT 2019},

  month        = {Mon May 13 00:00:00 EDT 2019}

}

Copy to clipboard

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Title: Neutron transfer reactions in halo effective field theory

Abstract

Citation Formats

Nucleon-nucleon effective field theory without pions journal, July 1999

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

Energy levels arising from resonant two-body forces in a three-body system journal, December 1970

Open effective field theories from deeply inelastic reactions journal, September 2016

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

Universality in few-body systems with large scattering length journal, June 2006

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

Significance of Deuteron Breakup in Halo Transfer journal, December 2000

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

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)] journal, May 1997

Nuclear Charge Radii of Be 7 , 9 , 10 and the One-Neutron Halo Nucleus Be 11 journal, February 2009

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

Constraining transfer cross sections using Bayes' theorem journal, June 2018

Proton–proton scattering lengths from effective field theory journal, March 1999

Construction of high-quality NN potential models journal, June 1994

Range corrections to doublet S-wave neutron–deuteron scattering journal, September 2001

Systematic analysis of the peripherality of the Be 10 ( d , p ) Be 11 transfer reaction and extraction of the asymptotic normalization coefficient of Be 11 bound states journal, November 2018

Benchmarking theoretical formalisms for ( p , p n ) reactions: The C 15 ( p , p n ) C 14 case journal, February 2018

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

Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order journal, April 2013

Effective-range corrections to the proton-proton fusion rate journal, December 1999

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

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

Role of core excitation in ( d , p ) transfer reactions journal, October 2016

T = 3 2 Levels in B 11 from the Be 10 ( p , γ 0 ) B 11 Reaction journal, January 1970

Nobel Symposium 152: Physics with Radioactive Beams journal, January 2013

Elastic Scattering and Reaction Mechanisms of the Halo Nucleus Be 11 around the Coulomb Barrier journal, July 2010

A new expansion for nucleon-nucleon interactions journal, April 1998

Halo Nucleus Be 11 : A Spectroscopic Study via Neutron Transfer journal, May 2012

New developments in reaction theory: preparing for the FRIB era journal, January 2018

Theory of the Effective Range in Nuclear Scattering journal, July 1949

Nuclear Halos journal, December 1995

Light dripline nuclei journal, January 2004

Effective field theory description of halo nuclei journal, September 2017

Uncertainty quantification due to optical potentials in models for ( d , p ) reactions journal, October 2018

The proton–deuteron system in pionless EFT revisited journal, January 2015

Reactions of a 10 Be beam on proton and deuteron targets journal, December 2013

Structure and reactions of quantum halos journal, February 2004

Three-Body Recombination into Deep Bound States in a Bose Gas with Large Scattering Length journal, October 2001

Two-nucleon systems from effective field theory journal, November 1998

Narrow resonances in effective field theory journal, September 2003

Effective theory of 3 H and 3 He journal, April 2016

Efimov physics: a review journal, March 2017

Quartet S-wave p–d scattering in EFT journal, April 2003

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium journal, February 1995

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

Improved convergence in the three-nucleon system at very low energies journal, November 2004

Reliable extraction of the dB(E1)/dE for 11Be from its breakup at 520 MeV/nucleon journal, March 2019

Influence of target deformation and deuteron breakup in ( d , p ) transfer reactions journal, April 2017

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

Naïve dimensional analysis for three-body forces without pions journal, October 2005

Bound state properties of Borromean halo nuclei: 6He and 11Li journal, August 1993

The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length journal, July 2012

Nucleon-nucleon effective field theory without pions
journal, July 1999

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

Energy levels arising from resonant two-body forces in a three-body system
journal, December 1970

Open effective field theories from deeply inelastic reactions
journal, September 2016

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

Universality in few-body systems with large scattering length
journal, June 2006

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

Significance of Deuteron Breakup in Halo Transfer
journal, December 2000

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

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)]
journal, May 1997

Nuclear Charge Radii of ${}^{7, 9, 10}{Be}$ and the One-Neutron Halo Nucleus ${}^{11}{Be}$
journal, February 2009

Effective-Range Approach and Scaling Laws for Electromagnetic Strength in Neutron-Halo Nuclei
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Constraining transfer cross sections using Bayes' theorem
journal, June 2018

Proton–proton scattering lengths from effective field theory
journal, March 1999

Construction of high-quality NN potential models
journal, June 1994

Range corrections to doublet S-wave neutron–deuteron scattering
journal, September 2001

Systematic analysis of the peripherality of the ${}^{10}{Be} (d, p) {}^{11}{Be}$ transfer reaction and extraction of the asymptotic normalization coefficient of ${}^{11}{Be}$ bound states
journal, November 2018

Benchmarking theoretical formalisms for ( $p, p n$ ) reactions: The ${}^{15}C (p, p n) {}^{14}C$ case
journal, February 2018

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

Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
journal, April 2013

Effective-range corrections to the proton-proton fusion rate
journal, December 1999

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

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

Role of core excitation in $(d, p)$ transfer reactions
journal, October 2016

$T = \frac{3}{2}$ Levels in ${}^{11}B$ from the ${}^{10}{Be} (p, γ_{0}) {}^{11}B$ Reaction
journal, January 1970

Nobel Symposium 152: Physics with Radioactive Beams
journal, January 2013

Elastic Scattering and Reaction Mechanisms of the Halo Nucleus ${}^{11}{Be}$ around the Coulomb Barrier
journal, July 2010

A new expansion for nucleon-nucleon interactions
journal, April 1998

Halo Nucleus ${}^{11}{Be}$ : A Spectroscopic Study via Neutron Transfer
journal, May 2012

New developments in reaction theory: preparing for the FRIB era
journal, January 2018

Theory of the Effective Range in Nuclear Scattering
journal, July 1949

Nuclear Halos
journal, December 1995

Light dripline nuclei
journal, January 2004

Effective field theory description of halo nuclei
journal, September 2017

Uncertainty quantification due to optical potentials in models for ( $d, p$ ) reactions
journal, October 2018

The proton–deuteron system in pionless EFT revisited
journal, January 2015

Reactions of a $^{10}$ Be beam on proton and deuteron targets
journal, December 2013

Structure and reactions of quantum halos
journal, February 2004

Three-Body Recombination into Deep Bound States in a Bose Gas with Large Scattering Length
journal, October 2001

Two-nucleon systems from effective field theory
journal, November 1998

Narrow resonances in effective field theory
journal, September 2003

Effective theory of ³ H and ³ He
journal, April 2016

Efimov physics: a review
journal, March 2017

Quartet S-wave p–d scattering in EFT
journal, April 2003

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
journal, February 1995

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

Improved convergence in the three-nucleon system at very low energies
journal, November 2004

Reliable extraction of the dB(E1)/dE for 11Be from its breakup at 520 MeV/nucleon
journal, March 2019

Influence of target deformation and deuteron breakup in $(d, p)$ transfer reactions
journal, April 2017

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

Naïve dimensional analysis for three-body forces without pions
journal, October 2005

Bound state properties of Borromean halo nuclei: 6He and 11Li
journal, August 1993

The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
journal, July 2012