Abstract
In the present review work, the main methods of the determination of asymptotic normalization coefficients (or respective nuclear vertex constants) for the A + x → B channel and of threebody asymptotic normalization functions (or respective on-shell vertex functions) for the A + b + c → B channel are briefly discussed. The main attention is paid both to the use of the specific asymptotic normalization coefficients and three-body asymptotic normalization functions as a source of getting the valuable information about the pair (nucleon–nucleon, nucleon–cluster and cluster–cluster) nuclear interactions and to their application for the specific direct nuclear-astrophysical radiative capture and peripheral transfer reactions at low energies.
Similar content being viewed by others
References
L. D. Blokhintsev, I. Borbely, and E. I. Dolinskii, Fiz. Elem. Chastits At. Yadra 8, 1189 (1977) [Sov. Phys. Part. Nucl. 8, 485 (1977)].
R. Yarmukhamedov and Q. I. Tursunmahatov, in The Universe Evolution: Astrophysical and Nuclear Aspects, Ed. by I. Strakovsky and L. D. Blokhintsev (NOVA Sci., New York, 2013), p. 219–270.
R. E. Tribble, C. A. Bertulani, M. La Cognata, A. M. Mukhamedzhanov, and C. Spitaleri, Rep. Prog. Phys. 77, 106901 (2014).
S. V. Artemov, I. R. Gulamov, E. A. Zaparov, I. Yu. Zotov, and G. K. Nie, Yad. Fiz. 59, 454 (1996) [Phys. At. Nucl. 59, 428 (1996)].
A. M. Mukhamedzhanov, H. L. Clark, C. A. Gagliardi, Y.-W. Lui, L. Trache, R. E. Tribble, H. M. Xu, X. G. Zhou, V. Burjan, J. Cejpek, V. Kroha, and F. Carstoiu, Phys. Rev. C 56, 1302 (1997).
S. B. Igamov and R. Yarmukhamedov, Nucl. Phys. A 781, 247 (2007).
S. B. Igamov and R. Yarmukhamedov, Yad. Fiz. 71, 1772 (2008) [Phys. Atom. Nucl. 71, 1740 (2008)].
L. D. Blokhintsev, V. I. Kukulin, A. A. Sakharuk, D. A. Savin, and E. V. Kuznetsova, Phys. Rev. C 48, 2390 (1993).
R. Yarmukhamedov and D. Baye, Phys. Rev. C 84, 024603 (2011).
A. Kharbach and P. Descouvemont, Phys. Rev. C 58, 1066 (1998).
L. D. Blokhintsev, S. B. Igamov, N. M. Nishonov, and R. Yarmukhamedov, Yad. Fiz. 69, 456 (2006) [Phys. Atom. Nucl. 69, 433 (2006)].
P. Descouvemont, Phys. Rev. C 70, 065802 (2004).
T. Kajino, Nucl. Phys. A 460, 559 (1986).
Q. I. Tursunmahatov and R. Yarmukhamedov, Phys. Rev. C 85, 045807 (2012).
H. M. Xu, C. A. Garliardi, R. E. Tribble, A. M. Mukhamedzhanov, and N. K. Timofeyuk, Phys. Rev. Lett. 73, 2027 (1994).
S. B. Igamov and R. Yarmukhamedov, Yad. Fiz. 58, 1400 (1995) [Phys. Atom. Nucl. 58, 1317 (1995).
A. M. Mukhamedzhanov, R. P. Schmitt, R. E. Tribble, and A. Sattarov, Phys. Rev. C 52, 3483 (1995).
L. D. Blokhintsev, M. K. Ubaidullaeva, and R. Yarmukhamedov, Yad. Fiz. 62, 1368 (1999) [Phys. Atom. Nucl. 62, 1289 (1999)].
R. Yarmukhamedov and M. K. Ubaydullaeva, Int. J.Mod. Phys. E 18, 1561 (2009).
L. D. Blokhintsev, M. K. Ubaidullaeva, and R. Yarmukhamedov, Yad. Fiz. 68, 1427 (2005) [Phys. Atom. Nucl. 68, 1372 (2005)].
R. Yarmukhamedov, D. Baye, and C. Leclercq-Willain, Nucl. Phys. A 705, 335 (2002).
R. Yarmukhamedov, J. Phys.: Conf. Ser. 569, 012037 (2014).
R. Yarmukhamedov, Nucl. Phys. A 957, 416 (2017).
S. P. Merkur’ev, Yad. Fiz. 19, 447 (1974) [Sov. J. Nucl. Phys. 19, 222 (1974)].
A. M. Mukhamedzhanov, M. K. Ubaidullaeva, and R. Yarmukhamedov, Teor. Mat. Fiz. 94, 448 (1993) [Theor. Math. Phys. 94, 315 (1993)].
S. N. Belolipetskiĭ, L. D. Blokhintsev, and R. Yarmukhamedov, Izv. AN USSR. Ser. Fiz. 52, 968 (1988).
S. N. Belolipetsky, L. D. Blokhintsev, Yu. V. Orlov, and R. Yarmukhamedov, Izv. AN USSR. Ser. Fiz. 52, 2201 (1988).
G. V. Avakov, S. N. Belolipetskiĭ, L. D. Blokhintsev, G. S. Valiev, I. R. Gulamov, Yu. I. Denisov, T. Iskhakov, A. M. Mukhamedzhanov, E. A. Romanovskii, and R. Yarmukhamedov, Yad. Fiz. 47, 1508 (1988) [Sov. J. Nucl. Phys. 47, 957 (1988)].
L. D. Blokhintsev and E. Truglik, Izv. ANUSSR. Ser. Fiz. 33, 88 (1969).
É. I. Dolinskiĭ, V. V. Turovtsev, and R. Yarmukhamedov, Yad. Fiz. 19, 1003 (1974) [Sov. J.Nucl. Phys. 19, 514 (1974)].
T. Berggren, Nucl. Phys. 72, 337 (1965).
W. T. Pinkston, and G. R. Satchler, Nucl. Phys. 72, 641 (1965).
S. V. Artemov, S. B. Igamov, K. I. Tursunmakhatov, and R. Yarmukhamedov, Izv. RAN. Ser. Fiz. 73, 176 (2009) [Bull. Russ. Acad. Sci Phys. 73, 165 (2009)].
O. R. Tojiboev, R. Yarmukhamedov, S. V. Artemov, and S. B. Sakuta, Phys. Rev. C 94, 054616 (2016).
G. J. Schmid, B. J. Rice, R. M. Chasteler, M. A. Godwin, G. C. Kiang, L. L. Kiang, C. M. Laymon, R. M. Prior, D. R. Tilley, and H. R. Weller, Phys. Rev. C 56, 2565 (1997).
LUNA Collab. (C. Casella et al.), Nucl. Phys. A 706, 203 (2002).
Y. Yamaguchi, Phys. Rev. 95, 1628 (1954).
A. G. Baryshnikov, L. D. Blokhintsev, and I. M. Narodetski, Pis’ma JETF 19, 608 (1974) [JETP Lett. 19, 315 (1974)].
J. Bruinsma, W. Ebenhöh, J. H. Stuivenberg, and R. Van Wageningen, Nucl. Phys. A 228, 52 (1974).
R. A. Malfliet and J. A. Tjon, Nucl. Phys. A 127, 161 (1969).
V. B. Belyaev, B. F. Irgaziev, and Yu. V. Orlov, Yad. Fiz. 24, 44 (1976) [Sov. J. Nucl. Phys. 24, 22 (1976)].
Yu. A. Simonov, Nucl. Phys. A 463, 231 (1987).
A. G. Baryshnivov, L. D. Blokhintsev, I. M. Narodetskii, D. A. Savin, Yad. Fiz. 48, 1273 (1988) [Sov. J. Nucl. Phys. 48, 209 (1988)].
A. Abdurakhmanov, A. A. Zubarev, A. Sh. Latipov, and M. Nasyrov, in Abstract of the International Meeting on the Theory of Few-Body and Quark- Hadron Systems, Dubna, Russia, 1987 (Dubna, 1987), p. 29.
I. Borbely and A. M. Mukhamedzhanov, in Proceedings of the 34th International Conference on Problems of Nuclear Spectroscopy and Structure of Atomic Nucleus, Alma-Ata, Kazakhstan, 1984 (Nauka, Moscow, 1984), p. 413.
L. D. Blokhintsev, A. M. Mukhamedzhanov, and A. N. Safronov, Fiz. Elem. Chastits At. Yadra 15, 1296 (1984) [Phys. Part. Nucl. 15, 580 (1984)].
A. I. Sattarov, M. K. Ubajdullaeva, and R. Yarmukhamedov, Yad. Fiz. 60, 1221 (1997) [Phys. Atom. Nucl. 60, 1096 (1997)].
L. D. Blokhintsev, S. M. Rasulev, and R. Yarmukhamedov, Yad. Fiz. 44, 1167 (1986) [Sov. J. Nucl. Phys. 44, 758 (1986)].
S. V. Artemov, A. G. Bajajin, S. B. Igamov, G. K. Nie, and R. Yarmukhamedov, Yad. Fiz. 71, 1025 (2008) [Phys. Atom. Nucl. 71, 998 (2008)].
A. M. Mukhamedzhanov, R. E. Tribble, and N. K. Timofeyuk, Phys. Rev. C 51, 3472 (1995).
A. R. Junghans, E. C. Mohrmann, K. A. Snover, T. D. Steiger, E. G. Adelberger, J. M. Casandjian, H. E. Swanson, L. Buchmann, S. H. Park, A. Zyuzin, and A. M. Laird, Phys. Rev. C 68, 065803 (2003).
L. T. Baby, C. Bordeanu, G. Goldring, M. Hass, L. Weissman, V. N. Fedoseyev, U. Köster, Y. Nir-El, G. Haquin, H. W. Gäggeler, and R. Weinreich, (ISOLDE Collab.), Phys. Rev. Lett. 90, 022501 (2003); Phys. Rev. C 67, 065805 (2003).
G. Tabacaru, A. Azhari, J. Brinkley, V. Burjan, F. Carstoiu, Changbo Fu, C. A. Gagliardi, V. Kroha, A. M. Mukhamedzhanov, X. Tang, L. Trache, R. E. Tribble, and S. Zhou, Phys. Rev. C 73, 025808 (2006).
E. G. Adelberger, A. Garcia, R. G. Hamish Robertson, K. A. Snover, A. B. Balantekin, K. Heeger, M. J. Ramsey-Musolf, D. Bemmerer, A. Junghans, C. A. Bertulani, J.-W. Chen, H. Costantini, P. Prati, M. Couder, E. Uberseder, M. Wiescher, et al., Rev. Mod. Phys. 83, 195 (2011).
Sh. S. Kajumov, A. M. Mukhamedzhanov, R. Yarmukhamedov, and I. Borbely, Z. Phys. A 336, 297 (1990).
S. B. Igamov, M. S. Nadyrbekov and R. Yarmukhamedov, Yad. Fiz. 70, 1739 (2007) [Phys. Atom. Nucl. 70, 1694 (2007)].
J. J. Das, V. M. Datar, P. Sugathan, N. Madhavan, P. V. Madhusudhana Rao, A. Jhingan, A. Navin, S. K. Dhiman, S. Barua, S. Nath, T. Varughese, A. K. Sinha, R. Singh, A. Ray, D. L. Sastry, R. G. Kulkarni, and R. Shyam, Phys. Rev. C 73, 015808 (2006).
J. N. Bahcall, N. A. Bahcall, R. K. Ulrich, Astrophys. J. 156, 559 (1969).
L. D. Blokhintsev and E. I. Dolinskii, Yad. Fiz. 5, 797 (1967) [Sov. J. Nucl. Phys. 5, 565 (1967)].
Sh. S. Kayumov, A. M. Mukhamedzhanov, and R. Yarmukhamedov, Yad. Fiz. 48, 428 (1988) [Sov. J. Nucl. Phys. 48, 268 (1988)].
V. I. Kukulin, V. N. Pomerantsev, Kh. D. Razikov, V. T. Voronchev, and G. G. Ryzhikh, Nucl. Phys. A 586, 151 (1995).
V. T. Voronchev, V. I. Kukulin, V. N. Pomerantsev, and G. G. Ryzhikh, Few-Body Syst. 18, 191 (1995).
D. Baye, Phys. Rep. 565, 1 (2015).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Yarmukhamedov, R., Blokhintsev, L.D. Asymptotic Normalization Coefficients (Nuclear Vertex Constants), Three-Body Asymptotic Normalization Functions (On-Shell Vertex Functions) and Nuclear Astrophysics. Phys. Atom. Nuclei 81, 616–629 (2018). https://doi.org/10.1134/S1063778818050198
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778818050198