Theoretical Calculation of S-factor in d(d,γ)α at low energy

MA Yin-Qun; MA Zhong-Yu; TIAN Yuan

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2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(4) : 294-298

Theoretical Calculation of S-factor in d(d,γ)α at low energy

China Institute of Atomic Energy, Beijing 102431, China2 Department of Physics, Taiyuan Teachers College, Taiyuan 030001, China

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Abstract：
We study one of the most important reactions ²H(d,γ)⁴He with an astrophysical interest. A phenomenological model is adopted where the D-state component of the colliding deuterons and D-components in ⁴He ground state are considered. Woods-Saxon potential parameters are obtained by reproducing the binding energy of d-d system and d-d elastic scattering phase shifts calculated by the resonating group method. A comparison of theoretical results with the experiment data is made at the energy range E_c.m.<3MeV. In particular, rather good agreement with the experiment data of the astrophysical S-factor can be obtained below 500keV. Due to the lack of experiment data at the energies around 0—20keV required in the investigation of the stellar nucleosynthesis, an theoretical extrapolation of the S-factor down to stellar energies is performed.

References

[1]

. Langanke K. Nucl. Phys., 1986, A457: 3512. Ballot J L. Phys. Lett., 1983, 127B: 3393. Goldhammer P. Phys. Rev.,1984, C29: 14444. Schiavilla R. Nucl. Phys., 1986, A449: 2195. Wilkinson F J. Phys. Rev.,1985, C31: 20366. Weller H R. Phys. Rev. Lett., 1984, B53: 13257. Bluge G, Assenbaum H J. Phys. Rev.,1987, C36: 218. Weller H R. Phys. Rev.,1986, C34: 329. Assenbaum H A. Phys. Rev., 1987, C36: 1710. Warburtou E K. In Isospin in Nuclear Physics. Amsterdam:North-Hollaud, 1969. 18511. Mcintyre L C. Nucl. Phys.,1967, A91: 38212. Santos F D. Phys. Rev., 1985, C31: 70713. Piekarewicz J, Koonin S E. Phys. Rev., 1987, C36: 87514. ZENG Jin-Yan. Quantum Mechanics (3rd ed). Beijing: Sci-ence Press, 2000. 734 (in Chinese)(曾谨言,量子力学(第3版).北京:科学出版社，2000. 734)15. Baye D. Nucl. Phys., 1983, A407: 7716. Meier W. Nucl. Phys., 1975, A255: 2117. Barnes C A, Chang K. Phys. Rev. Lett., 1983, B34: 2318. Poutissou J M. Nucl. Phys., 1973, A199: 51719. Meyerhof W E, Tombrelle T A. Nucl. Phys., 1968, A109:120. Zurmuehle W, Stephens W E. Phys. Rev., 1963, 132: 75121. Meyerhof W E, Feldman W. Nucl. Phys., 1969, A131: 489

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MA Yin-Qun, MA Zhong-Yu and TIAN Yuan. Theoretical Calculation of S-factor in d(d,γ)α at low energy[J]. Chinese Physics C, 2006, 30(4): 294-298.

MA Yin-Qun, MA Zhong-Yu and TIAN Yuan. Theoretical Calculation of S-factor in d(d,γ)α at low energy[J]. Chinese Physics C, 2006, 30(4): 294-298. shu

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Received: 2005-09-26
Revised: 2005-10-12

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沈阳化工大学材料科学与工程学院沈阳 110142

Theoretical Calculation of S-factor in d(d,γ)α at low energy

Corresponding author: TIAN Yuan,

China Institute of Atomic Energy, Beijing 102431, China2 Department of Physics, Taiyuan Teachers College, Taiyuan 030001, China

Received Date: 2005-09-26
Accepted Date: 2005-10-12
Available Online: 2006-04-05

Abstract: We study one of the most important reactions ²H(d,γ)⁴He with an astrophysical interest. A phenomenological model is adopted where the D-state component of the colliding deuterons and D-components in ⁴He ground state are considered. Woods-Saxon potential parameters are obtained by reproducing the binding energy of d-d system and d-d elastic scattering phase shifts calculated by the resonating group method. A comparison of theoretical results with the experiment data is made at the energy range E_c.m.<3MeV. In particular, rather good agreement with the experiment data of the astrophysical S-factor can be obtained below 500keV. Due to the lack of experiment data at the energies around 0—20keV required in the investigation of the stellar nucleosynthesis, an theoretical extrapolation of the S-factor down to stellar energies is performed.