Importance of the Doppler effect for the determination of the deuteron binding energy

Yongkyu Ko; Myung Ki Cheoun; Il-Tong Cheon

doi:10.1103/PhysRevC.59.3473

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Importance of the Doppler effect for the determination of the deuteron binding energy

Yongkyu Ko^*, Myung Ki Cheoun, and Il-Tong Cheon

Department of Physics, Yonsei University, Seoul 120-749, Korea

^*Electronic address: yongkyu@phya.yonsei.ac.kr

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Phys. Rev. C 59, 3473 – Published 1 June, 1999

DOI: https://doi.org/10.1103/PhysRevC.59.3473

Abstract

The deuteron binding energy extracted from the ${reaction}^{1} H (n, γ)^{2} H$ is reviewed with the exact relativistic formula, where the initial kinetic energy and the Doppler effect are taken into account. We find that the negligible initial kinetic energy of the neutron could cause a significant uncertainty which is beyond the errors available up to now. Therefore, we suggest an experiment which should include detailed information about the initial kinetic energy and the detection angle. It could reduce discrepancies among the recently reported values about the deuteron binding energy and pin down the uncertainty due to the Doppler broadening of the $γ$ ray.

References (13)

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[c1] G. L. Greene, E. G. Kessler, Jr., R. D. Deslattes, and H. Börner, Phys. Rev. Lett. 56, 819 (1986).

[c2] C. Van der Leun and C. Alderliesten, Nucl. Phys. A380, 261 (1982).

[c3] Ts. Vylov, K. Ya. Gromov, A. I. Ivanov, B. P. Osipenko, E. A. Frolov, V. G. Chumin, A. F. Shchus, and M. F. Yudin, Sov. J. Nucl. Phys. 28, 585 (1978).

[c4] Ts. Vylov, V. M. Gorozhankin, K. Ya. Gromov, A. I. Ivanov, I. F. Uchevatkin, and V. G. Chumin, Sov. J. Nucl. Phys. 36, 474 (1982).

[c5] R. C. Greenwood and R. E. Chrien, Phys. Rev. C 21, 498 (1980).

[c6] J. Adam, V. Hnatowicz, and A. Kugler, Czech. J. Phys., Sect. B 33, 465 (1983).

[c7] Michael V. Gorshkov, George M. Alber, Lutz Schweikhard, and Alan G. Marshall, Phys. Rev. A 47, 3433 (1993).

[c8] Particle Data Group, L. Montanet et al., Phys. Rev. D 50, 1173 (1994), p. 1223.

[c9] R. C. Greenwood, R. G. Helmer, and R. J. Gehrke, Nucl. Instrum. Methods 159, 465 (1979).

[c10] E. G. Kessler, Jr., R. D. Deslattes, A. Henins, and W. C. Sauder, Phys. Rev. Lett. 40, 171 (1978).

[c11] Ts. Vylov, B. P. Osipenko, and V. M. Chumin, Sov. J. Part. Nucl. 9, 530 (1978).

[c12] Herbert Goldstein, Classical Mechanics (Addison-Wesley, New York, 1980).

[c13] Arthur Beiser, Concepts of Modern Physics (McGraw-Hill, New York, 1981).

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Importance of the Doppler effect for the determination of the deuteron binding energy

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