Abstract
The 2H(d, p)3H and 2H(d, n)3He fusion reactions important for both fundamental and applied physics are studied in the framework of the microscopic multichannel cluster approach formulated in the oscillator representation. The energy dependences of the total astrophysical S factors for the reactions are calculated. The special attention is paid to a comparison with the experimental data extracted by the Trojan horse method. A pretty good agreement between those data and the calculated results is achieved. In accordance with that, recommendations for the 2H(d, p)3H and 2H(d, n)3He total S factors are provided within the approach and discussed in depth. The contributions of partial transfer processes to the energy behavior of the astrophysical S factors are revealed. The most significant channels are also figured out. The effect of the nuclear tensor force on the reactions is considered in detail. The accurate inclusion of the tensor force is shown to be extremely important for a correct description of available experimental data.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data supporting the main findings of this study are contained in the figures. All datasets generated and/or analysed during the current study are available from the author on reasonable request].
References
P.D. Serpico, S. Esposito, F. Iocco, G. Mangano, G. Miele, O. Pisanti, J. Cosmol. Astropart. Phys. 12, 010 (2004)
R.H. Cyburt, B.D. Fields, K.A. Olive, T.-H. Yeh, Rev. Mod. Phys. 88, 015004 (2016)
A. Coc, E. Vangioni, Int. J. Mod. Phys. E 26, 1741002 (2017)
C. Pitrou, A. Coc, J.-P. Uzan, E. Vangioni, Phys. Rep. 754, 1 (2018)
R.L. Schulte, M. Cosack, A.W. Obst, J.L. Weil, Nucl. Phys. A 192, 609 (1972)
A. Krauss, H.W. Becker, H.P. Trautvetter, C. Rolfs, K. Brand, Nucl. Phys. A 465, 150 (1987)
R.E. Brown, N. Jarmie, Phys. Rev. C 41, 1391 (1990)
U. Greife, F. Gorris, M. Junker, C. Rolfs, D. Zahnow, Z. Phys. A 351, 107 (1995)
M.A. Hofstee, A.K. Pallone, F.E. Cecil, J.A. McNeil, C.S. Galovich, Nucl. Phys. A 688, 527c (2001)
D.S. Leonard, H.J. Karwowski, C.R. Brune, B.M. Fisher, E.J. Ludwig, Phys. Rev. C 73, 045801 (2006)
V.M. Bystritsky, V.V. Gerasimov, A.R. Krylov, S.S. Parzhitskii, P.S. Anan’in, G.N. Dudkin, V.L. Kaminskii, B.A. Nechaev, V.N. Padalko, A.V. Petrov, G.A. Mesyats, M. Filipovicz, J. Wozniak, V.M. Bystritskii, Eur. Phys. J. A 36, 151 (2008)
A. Tumino, C. Spitaleri, A.M. Mukhamedzhanov, S. Typel, M. Aliotta, V. Burjan, M. Gimenez del Santo, G.G. Kiss, V. Kroha, Z. Hons, M. La Cognata, L. Lamia, M. Mrazek, R.G. Pizzone, S. Piskor, G.G. Rapisarda, S. Romano, M.L. Sergi, R. Spartà, Phys. Lett. B 700, 111 (2011)
A. Tumino, C. Spitaleri, A.M. Mukhamedzhanov, S. Typel, M. Aliotta, V. Burjan, M. Gimenez del Santo, G.G. Kiss, V. Kroha, Z. Hons, M. La Cognata, L. Lamia, M. Mrazek, R.G. Pizzone, S. Piskor, G.G. Rapisarda, S. Romano, M.L. Sergi, R. Spartà, Phys. Lett. B 705, 546 (2011)
R.G. Pizzone, C. Spitaleri, C.A. Bertulani, A.M. Mukhamedzhanov, L. Blokhintsev, M. La Cognata, L. Lamia, A. Rinollo, R. Spartá, A. Tumino, Phys. Rev. C 87, 025805 (2013)
A. Tumino, R. Sparta, C. Spitaleri, A.M. Mukhamedzhanov, S. Typel, R.G. Pizzone, E. Tognelli, S. Degl’Innocenti, V. Burjan, V. Kroha, Z. Hons, M. La Cognata, L. Lamia, J. Mrazek, S. Piskor, P.G. Prada Moroni, G.G. Rapisarda, S. Romano, M.L. Sergi, Astrophys. J. 785, 96 (2014)
H. Kanada, T. Kaneko, Y.C. Tang, Phys. Rev. C 43, 371 (1991)
D.R. Thompson, M. LeMere, Y.C. Tang, Nucl. Phys. A 286, 53 (1977)
H.M. Hofmann, G.M. Hale, Nucl. Phys. A 613, 69 (1997)
H.M. Hofmann, G.M. Hale, Phys. Rev. C 77, 044002 (2008)
A. Deltuva, A.C. Fonseca, Phys. Rev. C 76, 021001(R) (2007)
K. Arai, S. Aoyama, Y. Suzuki, P. Descouvemont, D. Baye, Phys. Rev. Lett. 107, 132502 (2011)
P. Descouvemont, D. Baye, Y. Suzuki, S. Aoyama, K. Arai, AIP Adv. 4, 041011 (2014)
M. Viviani, L. Girlanda, A. Kievsky, D. Logoteta, L.E. Marcucci, Phys. Rev. Lett. 130, 122501 (2023)
C. Angulo, M. Arnould, M. Rayet, P. Descouvemont, D. Baye, C. Leclercq-Willain, A. Coc, S. Barhoumi, P. Aguer, C. Rolfs, R. Kunz, J.W. Hammer, A. Mayer, T. Paradellis, S. Kossionides, C. Chronidou, K. Spyrou, S. Degl’Innocenti, G. Fiorentini, B. Ricci, S. Zavatarelli, C. Providencia, H. Wolters, J. Soares, C. Grama, J. Rahighi, A. Shotter, M. Lamehi Rachti, Nucl. Phys. A 656, 3 (1999)
R.H. Cyburt, Phys. Rev. D 70, 023505 (2004)
P. Descouvemont, A. Adahchour, C. Angulo, A. Coc, E. Vangioni-Flam, At. Data Nucl. Data Tables 88, 203 (2004)
Y. Xu, K. Takahashi, S. Goriely, M. Arnould, M. Ohta, H. Utsunomiya, Nucl. Phys. A 918, 61 (2013)
A.S. Solovyev, Phys. Rev. C 106, 014610 (2022)
H. Kanada, T. Kaneko, S. Nagata, M. Nomoto, Prog. Theor. Phys. 61, 1327 (1979)
A.S. Solovyev, S.Yu. Igashov, Phys. Rev. C 96, 064605 (2017)
A.S. Solovyev, S.Yu. Igashov, Phys. Rev. C 99, 054618 (2019)
D.R. Tilley, H.R. Weller, G.M. Hale, Nucl. Phys. A 541, 1 (1992)
G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003)
K. Pachucki, D. Leibfried, M. Weitz, A. Huber, W. König, T.W. Hänsch, J. Phys. B 29, 177 (1996)
J.L. Friar, J. Martorell, D.W.L. Sprung, Phys. Rev. A 56, 4579 (1997)
B.S. Pudliner, V.R. Pandharipande, J. Carlson, S.C. Pieper, R.B. Wiringa, Phys. Rev. C 56, 1720 (1997)
H. Kanada, T. Kaneko, Y.C. Tang, Phys. Rev. C 34, 22 (1986)
A. Csótó, G.M. Hale, Phys. Rev. C 55, 2366 (1997)
E. Hiyama, B.F. Gibson, M. Kamimura, Phys. Rev. C 70, 031001(R) (2004)
W. Horiuchi, Y. Suzuki, Phys. Rev. C 78, 034305 (2008)
W. Horiuchi, Y. Suzuki, K. Arai, Phys. Rev. C 85, 054002 (2012)
S. Aoyama, K. Arai, Y. Suzuki, P. Descouvemont, D. Baye, Few-Body Syst. 52, 97 (2012)
S. Aoyama, D. Baye, Phys. Rev. C 97, 054305 (2018)
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Solovyev, A.S. Exploring the 2H(d, p)3H and 2H(d, n)3He fusion reactions within the microscopic multichannel cluster approach in oscillator representation. Eur. Phys. J. A 60, 32 (2024). https://doi.org/10.1140/epja/s10050-024-01253-2
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DOI: https://doi.org/10.1140/epja/s10050-024-01253-2