Title: Bayesian analysis of the ${}^{70}\mathrm{Zn}(d,{}^3\mathrm{He}){}^{69}\mathrm{Cu}$ transfer reaction

Abstract

Transfer reactions provide information about the single-particle nature of nuclear levels. In particular, the differential cross sections from these measurements are sensitive to the angular momentum of the transferred particle and the spectroscopic factor of the populated level. However, the process of extracting these properties is subject to uncertainties, both from experimental and theoretical sources. By integrating the distorted wave Born approximation into a Bayesian model, we propagate these uncertainties through to the spectroscopic factors and orbital angular momentum values. We use previously reported data of the proton pickup reaction ${}^{70}\mathrm{Zn}(d,{}^3\mathrm{He}){}^{69}\mathrm{Cu}$ as an example. By accounting for uncertainties in the experimental data, optical model parameters, and reaction mechanism, we find that the extracted spectroscopic factors for low-lying states of ⁶⁹Cu are subject to large, asymmetric uncertainties ranging from 35 to 108%. Additionally, Bayesian model comparison is employed to assign probabilities to each of the allowed angular momentum transfers. This method confirms the assignments for many states, but suggests that the data for a state lying at 3.70 MeV are better characterized by an ℓ =3 transfer, rather than the previously reported ℓ =2 .

Authors:

Marshall, C.  ^[1];

• Search DOE PAGES for author "Marshall, C."
• Search DOE PAGES for ORCID "0000-0002-1194-2920"

Morfouace, P.  ^[2];

• Search DOE PAGES for author "Morfouace, P."
• Search DOE PAGES for ORCID "0000-0002-2131-2199"

de Séréville, N. ^[3]; Longland, R.  ^[1]

• Search DOE PAGES for author "Longland, R."
• Search DOE PAGES for ORCID "0000-0001-7731-580X"

---

+ Show Author Affiliations

1. North Carolina State Univ., Raleigh, NC (United States); Triangle Universities Nuclear Laboratory, Durham, NC (United States)
2. Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France). Direction des applications militaires (DAM), DAM-Île de France (DIF)
3. Universite Paris-Saclay, Orsay (France); Centre National de la Recherche Scientifique (CNRS), Orsay (France). IN2P3, IJCLab

Publication Date:

Mon Aug 10 00:00:00 EDT 2020

Research Org.:

North Carolina State University, Raleigh, NC (United States)

Sponsoring Org.:

USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:

1774777

Grant/Contract Number:  

SC0017799

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review C

Additional Journal Information:

Journal Volume: 102; Journal Issue: 2; Journal ID: ISSN 2469-9985

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

73 NUCLEAR PHYSICS AND RADIATION PHYSICS