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The neutron within the deuteron as a surrogate for neutron-induced reactions

Journal Article · · International Journal of Modern Physics E
 [1];  [2];  [3];  [4];  [5]
  1. Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX-75025, USA; Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany; OSTI
  2. Instituto de Física, Universidade Federal Fluminense, Avenida Litoranea s/n, Gragoatá, 24210–340 Niterói, RJ, Brazil; Instituto de Física, Universidade Federal do Rio de Janeiro, CP 68528, Rio de Janeiro, Brazil
  3. Instituto de Estudos Avançados, Universidade de São Paulo, C. P. 72012, 05508-970 São Paulo, SP, Brazil; Instituto de Física, Universidade de São Paulo, C. P. 66318, 05314-970 São Paulo, Brazil; Departamento de Física, Instituto Tecnológico de Aeronáutica, CTA, São José dos Campos, SP, Brazil
  4. Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX, USA; Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles (ULB), Brussels, Belgium
  5. Faculty of Physics, University of Education, Hue University, 34 Le Loi Street, Hue City, Vietnam; Center for Theoretical and Computational Physics, University of Education, Hue University, 34 Le Loi Street, Hue City, Vietnam

We propose the use of neutron poisons in reactions induced by radioactive beams as a test of theoretical models aiming to relate neutron capture in nuclei with neutron surrogate reactions such as ([Formula: see text]) reactions. We exploit the approximations necessary to obtain a direct relation between the two reactions: surrogate versus neutron capture. We also show how this is intimately related to the momentum distribution of the neutron within the deuteron. The models we use are based on the theory of inclusive breakup reactions commonly employed in the treatment of incomplete fusion and surrogate method. Such theories were developed in the 1980s by Ichimura, Austern and Vincent [Phys. Rev. C 32 (1985) 431], Udagawa and Tamura [Phys. Rev. C 24 (1981) 1348] and Hussein and McVoy [Nucl. Phys. A 445 (1985) 124]. We use these theories to derive an expression for the proton yield in the reaction [Formula: see text]. The capture reaction [Formula: see text] is then extracted using reasonable approximations. By recalling an old method proposed by Serber [Phys. Rev. 80 (1950) 1098; Proc. Roy. Soc. A 208 (1951) 559] we explain how the momentum distribution of neutrons within the deuteron will depend on the short-range dependence of the nucleon–nucleon force. The relevance of our work to nucleosynthesis in the rapid neutron capture process is emphasized.

Research Organization:
Texas A & M Univ., Commerce, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
FG02-08ER41533
OSTI ID:
1800567
Journal Information:
International Journal of Modern Physics E, Journal Name: International Journal of Modern Physics E Journal Issue: 12 Vol. 28; ISSN 0218-3013
Publisher:
World Scientific
Country of Publication:
United States
Language:
English

References (53)

Resonance reactions and the energy dependence of neutron widths journal November 1972
The bonn meson-exchange model for the nucleon—nucleon interaction journal May 1987
Intermediate Structure in the Energy Dependence of Nuclear Cross Sections journal November 1963
Importance of the breakup mechanism for composite particle scattering journal June 1980
Inclusive projectile fragmentation in the spectator model journal November 1985
Towards Neutron Capture on Exotic Nuclei: Demonstrating ( d , p γ ) as a Surrogate Reaction for ( n , γ ) journal February 2019
Deducing the U 237 ( n , f ) cross section using the surrogate ratio method journal May 2006
Radiative np Capture and Meson Exchange Currents journal July 1970
Compound-nuclear reaction cross sections from surrogate measurements journal March 2012
Faddeev and DWBA description of inclusive break-up and incomplete fusion reactions journal May 1990
Systematical treatment of the non-relativistic n-particle scattering problem journal June 1967
Boron neutron capture therapy as a novel modality of radiotherapy for oral cancer: Principle and antitumor effect journal January 2013
Breakup-fusion description of nonequilibrium protons from (α, p) reactions journal February 1984
Tumor growth suppression by gadolinium-neutron capture therapy using gadolinium-entrapped liposome as gadolinium delivery agent journal July 2013
Symmetry energy of nucleonic matter with tensor correlations journal February 2015
Elastic and inelastic breakup of the He 3 particle journal October 1980
The (3He,tf) as a surrogate reaction to determine (n,f) cross sections in the 10–20MeV energy range
  • Basunia, M. S.; Clark, R. M.; Goldblum, B. L.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 267, Issue 11 https://doi.org/10.1016/j.nimb.2009.04.006
journal June 2009
Neutron-capture cross-section measurements of Xe 136 between 0.4 and 14.8 MeV journal March 2014
Frontiers in nuclear astrophysics journal July 2016
Generalized Faddeev equations in the Alt-Grassberger-Sandhas form for deuteron stripping with explicit inclusion of target excitations and Coulomb interaction journal September 2012
Complete and incomplete fusion in heavy-ion collisions journal August 1998
Nuclear astrophysics with radioactive beams journal January 2010
Momentum distributions in reactions with radioactive beams journal December 1992
Determining neutron capture cross sections via the surrogate reaction technique journal May 2007
Assessing the foundation of the Trojan Horse Method journal January 2018
Establishing a theory for deuteron-induced surrogate reactions journal September 2015
The surprisingly large neutron capture cross-section of 88Zr journal January 2019
Continuum-discretized coupled-channels calculations for three-body models of deuteron-nucleus reactions journal October 1987
Glauber calculation of heavy-ion and light-ion inclusive break-up cross sections journal January 1989
The neutron strength function and the shell model journal July 1963
Determining ( n , f ) cross sections for actinide nuclei indirectly: Examination of the surrogate ratio method journal November 2006
Toward a complete theory for predicting inclusive deuteron breakup away from stability journal September 2017
Reduction of the three-particle collision problem to multi-channel two-particle Lippmann-Schwinger equations journal June 1967
Numerical assessment of post-prior equivalence for inclusive breakup reactions journal December 2015
MOMDIS: a Glauber model computer code for knockout reactions journal September 2006
Neutron-induced cross sections of short-lived nuclei via the surrogate reaction method journal January 2011
Nucleon-nucleon correlation effects in the elastic scattering of α particles from Li 11 at 26 MeV/nucleon journal May 1992
Relative U 235 ( n , γ ) and ( n , f ) cross sections from U 235 ( d , p γ ) and ( d , pf ) journal May 2009
Inclusive Proton Emission Spectra from Deuteron Breakup Reactions journal February 2016
Neutron capture cross-section of 135Xe journal June 1973
Neutron induced fission cross section of Np 237 from 100 keV to 200 MeV journal March 2007
Reexamining closed-form formulae for inclusive breakup: Application to deuteron- and Li 6 -induced reactions journal October 2015
Parametrization of the deuteron wave function of the Paris NN potential journal May 1981
Determination of neutron-induced fission cross-sections of unstable nuclei via surrogate reaction method journal November 2014
Investigation of the U 238 ( d , p ) surrogate reaction via the simultaneous measurement of γ -decay and fission probabilities journal August 2016
Observation of the α -Particle Breakup Process at E α lab = 172.5 MeV journal August 1978
Total Neutron Cross Section of Xe 135 as a Function of Energy journal September 1959
Derivation of breakup-fusion cross sections from the optical theorem journal September 1981
High-Momentum components of the nuclear wave function: short range correlations, EMC effect, and the tensor parts of the N-N Interaction journal September 2012
Statistical Features of the Thermal Neutron Capture Cross Sections journal January 2016
Synthesis of the Elements in Stars journal October 1957
Relation among theories of inclusive breakup reactions journal March 1990
Equivalence of post and prior sum rules for inclusive breakup reactions journal August 1985

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