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Charged-particle induced thermonuclear reaction rates of 3He(3He,2p)4He, 3He(4He,γ)7Be and 7Be(p,γ)8B by using the exact tunneling probability

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Abstract

The astrophysical S-factor of the experimental cross section data of the main reactions in the proton–proton chain, i.e. 3He(3He,2p)4He, 3He(4He,γ)7Be and 7Be(p,γ)8B, are reanalyzed by using the exact tunneling probability in nuclear reactions. Our goal is to test this treatment in finding the reaction rate per pair for non-resonant reactions. At low temperatures, the exact treatment is identical to the standard formalism but diverges at higher temperatures.

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References

  • Angulo, C., Arnould, M., Rayet, M., Descouvemont, P., Baye, D., Leclercq-Willain, C., Coc, A., Barhoumi, S., Aguer, P., Rolfs, C., Kunz, R., Hammer, J.W., Mayer, A., Paradellis, T., Kossionides, S., Bonetti, R., Broggini, C., Campajola, L., Corvisiero, P., D’Alessandro, A., Dessalvi, M., D’Onofrio, A., Fubini, A., Gervino, G., Gialanella, L., Greife, U., Guglielmetti, A., Gustavino, C., Imbriani, G., Junker, M., Prati, P., Roca, V., Rolfs, C., Romano, M., Schuemann, F., Strieder, F., Terrasi, F., Trautvetter, H.P., Zavatarelli, S., Chronidou, C., Spyrou, K., degl’Innocenti, S., Fiorentini, G., Ricci, B., Zavatarelli, S., Providencia, C., Wolters, H., Soares, J., Grama, C., Rahighi, J., Shotter, A., Lamehi Rachti, M.: A compilation of charged-particle induced thermonuclear reaction rate. Nucl. Phys. A. 656, 3 (1999)

    Article  ADS  Google Scholar 

  • Bonetti, R., Broggini, C., Campajola, L., Corvisiero, P., D’Alessandro, A., Dessalvi, M., D’Onofrio, A., Fubini, A., Gervino, G., Gialanella, L., Greife, U., Guglielmetti, A., Gustavino, C., Imbriani, G., Junker, M., Prati, P., Roca, V., Rolfs, C., Romano, M., Schuemann, F. Strieder, F., Terrasi, F., Trautvetter, H.P., Zavatarelli, S.: First measurement of the 3He(3He,2p)4He cross section down to the lower edge of solar Gamow peak. Phys. Rev. C 82, 5202 (1999)

    Google Scholar 

  • Bethe, H.A.: Nuclear dynamics theoretical. Phys. Rev. C 9, 69 (1937)

    MATH  Google Scholar 

  • Balatenkin, A.B., Takigawa, A.: Quantum tunneling in nuclear fusion. Rev. Mod. Phys. 70, 1 (1998)

    Article  ADS  Google Scholar 

  • Baby, L.T., Bordeanu, C., Goldring, G., Hass, M., Weissman, L., Fedoseyev, V.N., Köster, U., Nir-El, Y., Haquin, G., Gäggeler, H.W., Weinreich, R.: New measurement of the proton capture rate 7Be and the S 17(0) factor. Phys. Rev. C 67, 065805 (2003)

    Article  ADS  Google Scholar 

  • Diether, J.L., Stancu, Fl.: Fusion cross section of light ions at sub-coulomb energies. Phys. Rev. C 23, 1503 (1981)

    Article  ADS  Google Scholar 

  • Eggenberger, P., Meynet, G., Maeder, A., Hirschi, R., Charbonnel, C. Talon, S., Ekstrom, S.: The Geneva stellar evolution code. Astrophys. Space Sci. A 316, 43 (2008)

    Article  MATH  ADS  Google Scholar 

  • Hagino, K., Balatenkin, A.B.: WKB approximation for multichannel barrier penetratibility. Phys. Rev. A 70, 032106 (2004)

    Article  ADS  Google Scholar 

  • Humblet, J., Fowler, W.A., Zimmerman, B.A.: Approximate penetration factors for nuclear reactions of astrophysical interest. Astron. Astrophys. 177, 317 (1987)

    ADS  Google Scholar 

  • Ichikawa, T., Hagino, K., Iwamoto, A.: Existence of a one-body barrier revealed in deep subbarrier fusion. Phys. Rev. C 75, 057603 (2007)

    Article  ADS  Google Scholar 

  • Itahashi, T., Kudomi, N., Yoshida, S., Kume, K., Komori, M., Ohsumi, H.: Cross section of 3He(3He,2p)4He measured near the Gamow peak. Nucl. Phys. A. 721, C1015 (2003)

    Article  ADS  Google Scholar 

  • Junghans, A.R., Mohrmann, E.C., Snover, K.A., Steiger, T.D., Adelberger, E.G., Casandjian, J.M., Swanson, H.E., Buchmann, L., Park, S.H., Zyuzin, A., Laird, A.M.: Precise measurement of the 7Be(p,γ)8B S factor. Phys. Rev. C 68, 065803 (2003)

    Article  ADS  Google Scholar 

  • Rowley, N., Merchant, A.C.: Barrier penetration at astrophysical energies. Astrophys. J. 381, 591 (1991)

    Article  ADS  Google Scholar 

  • Schumann, B.S.N., Hass, M., Nir-El, Y., Haqiun, G.: Low energy cross section of the 7Be(p,γ)8B solar fusion reaction from the Coulomb dissociation 8B. Phys. Rev. C 73, 015806 (2006)

    Article  ADS  Google Scholar 

  • Singh, B.S.N., Hass, M., Nir-El, Y., Haqiun, G.: A new precision measurement of 3He(4He,γ)7Be cross section. Phys. Rev. Lett. 93, 262503-1 (2004)

    Article  ADS  Google Scholar 

  • Strider, F.: Absolute cross section of 7Be(p,γ)8B. Nucl. Phys. A 696, 219 (2001)

    Article  ADS  Google Scholar 

  • Voronchev, V.T., Kukulin, V.I.: Rate parameters of 6Li(d,pα)T and 6Li(d,nα)3He nuclear reactions at thermonuclear temperatures. J. Phys. G 26, L103 (2000)

    Article  ADS  Google Scholar 

  • Yusof, N., Kassim, H.A.: Most effective energy in the thermonuclear reactions of some light nuclei. Mod. Phys. Lett. A 24, 1071 (2009)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia

    Norhasliza Yusof & Hasan Abu Kassim

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  1. Norhasliza Yusof
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  2. Hasan Abu Kassim
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Correspondence to Norhasliza Yusof.

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Yusof, N., Kassim, H.A. Charged-particle induced thermonuclear reaction rates of 3He(3He,2p)4He, 3He(4He,γ)7Be and 7Be(p,γ)8B by using the exact tunneling probability. Astrophys Space Sci 328, 157–161 (2010). https://doi.org/10.1007/s10509-009-0234-0

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  • DOI: https://doi.org/10.1007/s10509-009-0234-0

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