Abstract
The measurement of the relative differential cross sections of the neutron-deuteron (\(n-d)\) elastic scattering, i.e., the \(^{2}\)H(n, el)\(^{2}\)H reaction, for 12 neutron energies from 13.56 MeV to 52.48 MeV has been carried out at the Back-n White Neutron Source of the China Spallation Neutron Source (CSNS). By detection of the recoil deuterons using the light charged particle detector array (LPDA) system, the relative differential cross sections of the neutrons in the center-of-mass frame were obtained and then compared with previous measurements, the theoretical calculations performed using the Nijmegen I nucleon-nucleon potential in the Faddeev formalism, and the evaluated from libraries including the ENDF-B/VIII.0, JEFF-3.3, JENDL-4.0, CENDL-3.2, and FENDL-3.2. The present work was the first measurement relative differential cross sections of the n-d scattering for the 30 MeV \(<E_{\mathrm{n}} \le \) 60 MeV neutron energy range using a white neutron source.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability Statement
This manuscript has associated data in a data repository [Authors’ comment: The final results of the experiment are presented in Appendix A in this paper. The origin data contains binary data of the signal waveforms from the detectors and it is too big to upload or deliver.]
References
W. Glöckle et al., Phys. Rep. 274, 107 (1996)
N. Kalantar-Nayestanaki et al., Rep. Prog. Phys. 75, 016301 (2011)
J.C. Wang et al., Phys. Lett. B 51, 42 (1974)
M.I. Ojaruega, Fast Neutron Measurements Using Deuterated Liquid Scintillators. Ph.D. Thesis. The University of Michigan (2009)
R.K. Adair et al., Phys. Rev. 89, 1165 (1953)
W.D. Allen et al., Proc. Phys. Soc. Sect. A 68, 650 (1955)
L. Amtén et al., Phys. Scr. 15, 311 (1977)
J. Balewski et al., Nucl. Phys. A 581, 131 (1995)
A.C. Berick et al., Phys. Rev. 174, 1105 (1968)
D. Blanc et al., J. Phys. Colloq. 27, C1 (1966)
B.E. Bonner et al., Nucl. Phys. A 128, 183 (1969)
B.E. Bonner et al., Phys. Rev. C 17, 671 (1978)
F.P. Brady et al., Phys. Rev. C 9, 1784 (1974)
T.W. Burrows, Phys. Rev. C 8, 1173 (1973)
P. Chatelain et al., Nucl. Phys. A 319, 71 (1979)
X.H. Chen et al., Phys. Rev. C 32, 1767 (1985)
A.J. Elwyn et al., Phys. Rev. 128, 779 (1962)
E. Ertan et al., Phys. Rev. C 87, 034003 (2013)
J.A. Frenje et al., Phys. Rev. Lett. 107, 122502 (2011)
M. Gouanère et al., Nucl. Phys. A 144, 607 (1970)
V.J. Howard et al., Nucl. Phys. A 218, 140 (1974)
C.R. Howell et al., Few Body Syst. 16, 127 (1994)
V. Kulkarni et al., Nucl. Phys. A 367, 157 (1981)
Y. Maeda et al., Phys. Rev. C 76, 014004 (2007)
R.C. Malone et al., Phys. Rev. C 101, 034002 (2020)
P. Mermod et al., Phys. Lett. B 597, 243 (2004)
P. Mermod et al., Phys. Rev. C 72, 061002 (2005)
J.N. Palmieri, Nucl. Phys. A 188, 72 (1972)
E. Pirovano et al., Phys. Rev. C 95, 024601 (2017)
J.L. Romero et al., Phys. Rev. C 2, 2134 (1970)
J. Sanada et al., Phys. Rev. 80, 750 (1950)
P. Schwarz et al., Nucl. Phys. A 398, 1 (1983)
J.D. Seagrave, Phys. Rev. 97, 757 (1955)
J.D. Seagrave et al., Phys. Rev. 105, 1816 (1957)
J.D. Seagrave et al., Ann. Phys. 74, 250 (1972)
G. Vedrenne et al., J. Phys. France 24, 801 (1963)
J.C.Y. Wang, Dissert. Abstr. B (Sciences) 35, 3511 (1974)
E. Wantuch, Phys. Rev. 84, 169 (1951)
J.R. Cooper et al., Bull. Am. Phys. Soc. 15, 1328 (1970)
B.L. Youtz, U.C. Lawrence Radiat. Lab. Rep. No. UCRL-2307 (1953)
G. Shen et al., Chin. J. Nucl. Phys. 12, 241 (1990)
S. Shirato et al., in Few Particle Problems, ed. by I. Slaus, S.A. Moszkowski, R.P. Haddock, and W. T. H. van Oers (Elsevier, 1972), p. 472
S.-I. Higuchi et al., Nucl. Phys. A 384, 51 (1982)
S. Shirato et al., Nucl. Phys. A 120, 387 (1968)
S. Messelt, Nucl. Phys. 48, 512 (1963)
J. Weber, Helv. Phys. Acta 54, 547 (1982)
I. Basar, Conf. Light Nuclei Symp. Brela II, 867 (1969)
J. Tang et al., Chin. Phys. C 45, 062001 (2021)
Q. An et al., JINST 12, 07022 (2017)
Y. Chen et al., Eur. Phys. J. A 55, 115 (2019)
B. Qi et al., Nucl. Instrum. Methods Phys. Res. A 957, 163407 (2020)
L.Y. Zhang et al., Appl. Radiat. Isot. 132, 212 (2018)
H. Bai et al., Chin. Phys. C 44, 014003 (2020)
H. Jiang et al., Eur. Phys. J. A 57, 6 (2021)
R. Fan et al., Nucl. Instrum. Methods Phys. Res. A 981, 164343 (2020)
W. Jiang et al., Nucl. Instrum. Methods Phys. Res. A 973, 164126 (2020)
Z. Cui et al., EPJ Web Conf. 239, 01039 (2020)
H. Bing et al., Chin. Phys. C 41, 016104 (2017)
O.B. Tarasov et al., Nucl. Instrum. Methods Phys. Res. B 266, 4657 (2008)
V.N. Pomerantsev et al., Phys. Rev. C 79, 034001 (2009)
O.A. Rubtsova et al., Phys. Rev. C 79, 064602 (2009)
O.A. Rubtsova et al., Ann. Phys. 360, 613 (2015)
V.G.J. Stoks et al., Phys. Rev. C 49, 2950 (1994)
K. Shibata et al., J. Nucl. Sci. Technol. 48, 1 (2011)
Z. Ge et al., EPJ Web Conf. 239, 09001 (2020)
A.J.M. Plompen et al., Eur. Phys. J. A 56, 181 (2020)
D.A. Brown et al., Nucl. Data Sheets 148, 1 (2018)
Acknowledgements
The authors are grateful to the operating crew of the CSNS Back-n white neutron source. They would also like to thank Dr. Qiwen Fan from China Institute of Atomic Energy for preparing the \(\hbox {CD}_{{2}}\) sample. Dr. Elisa Pirovano from Physikalisch-Technische Bundesanstalt and Dr. Ronald Malone from the Lawrance Livermore National Laboratory are appreciated for valuable discussions. This work is supported in part by the National Natural Science Foundation of China under grant No. 11775006 and No. U2067205 and by the National Key R&D Program of China under grant No. 2016YFA0401604.
Author information
Authors and Affiliations
Consortia
Corresponding authors
Additional information
Communicated by Alessia Di Pietro
Appendix A
Appendix A
See Table 3.
Rights and permissions
About this article
Cite this article
Cui, Z., Jiang, H., Jiang, W. et al. Measurement of relative differential cross sections of the neutron-deuteron elastic scattering for neutron energy from 13 to 52 MeV. Eur. Phys. J. A 57, 310 (2021). https://doi.org/10.1140/epja/s10050-021-00610-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/s10050-021-00610-9