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Title: Nonlocal interactions in the ( d , p ) surrogate method for ( n , γ ) reactions

Journal Article · · Physical Review C
 [1];  [2];  [3]
  1. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.; Rutgers Univ., New Brunswick, NJ (United States). Dept. of Physics and Astronomy
  2. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.
  3. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. Dept. of Physics and Astronomy

Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these interactions are typically local. In our work, we study the effects of nonlocality in (d,p) reactions populating continuum states. This work is similar to that of [1] but now for transfer to the continuum. A theory for computing cross sections for inclusive processes A(d,p)X was explored in [2]. Therein, local optical potentials were used to describe the nucleon-target effective interaction. The goal of the present work is to extend the theory developed in [2] to investigate the effects of including nonlocality in the effective interaction on the relevant reaction observables. We implement the R--matrix method to solve the non--local equations both for the nucleon wavefunctions and the propagator. We then apply the method to systematically study the inclusive process of (d,p) on 16 O, 40 Ca, 48 Ca and 208 Pb at 10, 20 and 50 MeV. We compare the results obtained when non--local interactions are used with those obtained when local equivalent interactions are included. We find that nonlocality affects different pieces of the model in complex ways. Depending on the beam energy and the target, the non-elastic breakup can either increase or decrease. While the non-elastic transfer cross section for each final spin state can change considerably, the main prediction of the model [2], namely the shape of the spin distributions, remains largely unaltered by nonlocality.

Research Organization:
Michigan State Univ., East Lansing, MI (United States); Rutgers Univ., New Brunswick, NJ (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation; National Science Foundation (NSF)
Grant/Contract Number:
FG52-08NA28552; NA0000979; PHY-1520929; SC0013617
OSTI ID:
1525886
Alternate ID(s):
OSTI ID: 1479141; OSTI ID: 1606230
Journal Information:
Physical Review C, Vol. 98, Issue 4; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (31)

R-Matrix Theory of Nuclear Reactions journal April 1958
Testing the Perey effect journal March 2014
Toward a complete theory for predicting inclusive deuteron breakup away from stability journal September 2017
Breakup-Fusion Description of Massive Transfer Reactions with Emission of Fast Light Particles journal October 1980
Coupled reaction channels calculations in nuclear physics journal April 1988
The R -matrix theory journal February 2010
Optical potential from first principles journal February 2017
Unified theory of nuclear reactions journal December 1958
Energy dependence of nonlocal optical potentials journal November 2017
(d,pγ) Reactions and the surrogate reaction technique
  • Cizewski, J. A.; Hatarik, R.; Jones, K. L.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 261, Issue 1-2 https://doi.org/10.1016/j.nimb.2007.03.028
journal August 2007
A non-local potential model for the scattering of neutrons by nuclei journal April 1962
The equivalent local potential and the Perey effect journal March 1966
Numerical assessment of post-prior equivalence for inclusive breakup reactions journal December 2015
Local representation of the exchange nonlocality in n 16 O scattering journal March 1994
Neutron-capture rates for explosive nucleosynthesis: the case of 68 Ni( n , γ ) 69 Ni journal February 2017
The impact of individual nuclear properties on r -process nucleosynthesis journal January 2016
Transfer reaction code with nonlocal interactions journal October 2016
Resonance Reactions journal November 1946
Wave Functions of Nonlocal Potentials: The Perey Effect journal February 1965
Inclusive projectile fragmentation in the spectator model journal November 1985
Deuteron global optical model potential for energies up to 200 MeV journal October 2006
A unified theory of nuclear reactions. II journal August 1962
Reexamining closed-form formulae for inclusive breakup: Application to deuteron- and Li 6 -induced reactions journal October 2015
Explicit inclusion of nonlocality in ( d , p ) transfer reactions journal January 2016
An R matrix approach to the solution of coupled equations for atom–molecule reactive scattering journal November 1976
Establishing a theory for deuteron-induced surrogate reactions journal September 2015
Informing neutron capture nucleosynthesis on short-lived nuclei with (d,p) reactions journal January 2017
Two causes of nonlocalities in nucleon-nucleus potentials and their effects in nucleon-nucleus scattering journal January 2008
Analysis of the R -matrix method on Lagrange meshes journal August 1998
Role of the Pauli Principle in Collective-Model Coupled-Channel Calculations journal April 2005
Forging the Link between Nuclear Reactions and Nuclear Structure journal April 2014

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Figures / Tables (13)


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