Alpha-4 He Elastic Scattering with halo Effective Field Theory at Low Energy

Document Type : Research Paper

Authors

1 Department of Physics, Faculty of Science, Arak University, Arak 8349-8-38156, Iran

2 Department of Physics, Faculty of Science, Ayatollah Boroujerdi University, Boroujerd, Iran

Abstract

In the present work, we studied the α- 4He particle elastic scattering by measuring cross section with halo Effective Field Theory (hEFT) at low energies. In this article, we considered α- 4He elastic scattering in S-wave state at the very low energy. The α- 4He elastic scattering amplitude comprises the initial s-wave strong and Coulomb interaction at leading order. Because of the unnaturally large scattering length of the aαα, it is considered as a halo system. We defined the lagrangian of this system and then calculated the T-matrix for the scattering amplitude at leading order by using of the Feynman diagrams. Data of the α- 4He elastic scattering refer basically to the low energy extending to 0.29 MeV, the total cross section that with this approach has been calculated will be σ_t≃ 16:0226 mb. It was shown that, the presented strategy can be efficiently developed for the other halo nucleus.

Keywords

References

[1] Peng, R. B. 1999, ApJ, 194, 802
[2] Beane, S. R., Bedaque, P. F., Haxton, W. C., Phillips, D. R., & Savage, M. J., in: M. Shifman (Ed.), At the Frontier of Particle Physics, vol. 1, World Scienti_c, Singapore, 2001, pp. 133-269
[3] Weinberg, S. 1991, Nucl. Phys. B, 363, 3
[4] van Kolck, U. 1994, Phys. Rev. C, 49, 2932
[5] Kaplan, D. B., Savage, M. J., & Wise, M. B., 1996, Nucl. Phys. B, 478, 629
[6] Kaplan, D. B., Savage, M. J., & Wise, M. B., 1998, Phys. Lett. B, 424, 390
[7] Ajzenberg-Selove, F. & Lauritsen, T. 1974, Nucl. Phys. A, 227, 1
[8] Woo, W., Kwiatkowski, K., Zhou, S. H., & Viola, V. E. 1985, Phys. Rev. C, 32, 706
[9] Elhatisari,S., Lee, D., Rupak, G., & et al. 2015, Nature, 528, 111
[10] Warburton, E. K. 1986, Phys. Rev. C, 33, 303
[11] Gegelia, J. 1998, Phys. Lett. B, 429, 227
[12] Mehen, T., & Stewart, I. W. 1999, Phys. Lett. B, 445, 378
[13] Kaplan, D. B., Savage, M. J., & Wise, M. B. 1999, Phys. Rev. C, 59, 617
[14] Chen, J. -W., Griesshammer, H. W., Savage, M. J. & Springer, R. P. 1998, Nucl. Phys. A, 644, 245
[15] Savage, M. J., Scaldeferri, K. A., & Wise, M. B. 1999, Nucl. Phys. A, 652, 273
[16] Bedaque, P. F., & van Kolck, U. 1998, Phys. Lett. B, 428, 21
[17] Kong, X., & Ravndal, F. 1999, Phys. Lett. B, 450, 320
[18] Kong, X., & Ravndal, F. 1999, Nucl. Phys. A, 656, 421
[19] For clear presentation of the theoretical and experimental situation see Bethe, H. & Morrison, P. 1956, Elementary Nuclear Theory, John Wiley and Sons, New York
[20] Landau, L. D., & Smorodinski, J. 1944, Phys. Acad. Sci. USSR, 8, 219
[21] Bethe, H. A. 1949, Phys. Rev., 76, 38
[22] Jackson, J. D., & Blatt, J. M. 1950, Rev. Mod. Phys., 22, 77
[23] Kong, X., & Ravndal, F. 1999, Phys. Rev. D, 54, 014031
[24] Holstein, B. 1999, Phys. Rev. D, 60, 114030
[25] Chen, J. -W., Rupak, G., & Savage, M. J. 1999, Nucl. Phys. A, 653, 386
[26] Miller, G. A., Nefkens, B. M. K., & Slaus, I. 1990, Phys. Rep., 194, 1
[27] Henley, E. M., in: Isospin in Nuclear Physics, ed. Wilkinson, D. H. 1969, North-Holland Publishing Company, Amsterdam
[28] Heydenburg, N. P., & Temmer, G. M. 1956, Phys. Rev., 104, 123
[29] Nilson, R. W., Jentschke, K., Briggs, G. R., Kerman, R. O., & Snyder, J. N. 1958, Phys. Rev., 109, 850
[30] Tombrello, T. A., & Senhouse, L. S. 1963, Phys. Rev. 129, 2252
[31] Afzal, S. A., Ahmad, A. A. Z., & Ali, S. 1969, Rev. Mod. Phys., 41, 247
Iranian Journal of Astronomy and Astrophysics
Volume 5, Issue 2
October 2018
Pages 105-115

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