Abstract
We describe the first-forbidden beta transitions by using Pyatov’s restoration method within the framework of proton–neutron quasiparticle random phase approximation (pn-QRPA). A detailed formalism related to how to obtain the energies and wave functions of the first-forbidden excitations is clearly given in the present work. A comparison of the calculated results for various nuclei with the corresponding experimental data is given to demonstrate an application of the present approximation.
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J J Cowan and F K Thielemann, Phys. Today 57, 47 (2004)
I N Borzov, Nucl. Phys. A 777, 645 (2006)
J-Un Nabi, Adv. Space Res. 46, 1191 (2010)
C L Bai et al, Phys. Rev. C 83, 054316 (2011)
J Suhonen and O Civitarese, Phys. Rep. 300, 123 (1998)
J Suhonen, Nucl. Phys. A 864, 63 (2011)
A Bobyk, W A Kaminski and P Zareba, Nucl. Phys. A 669, 221 (2000)
A A Raduta, C M Raduta and A Escuderos, arXiv:nucl-th/0412104v1 (2004)
P Vogel and M R Zirnbauer, Phys. Rev. Lett. 57, 3148 (1986)
O Civitarese, A Faessler and T Tomoda, Phys. Lett. B 194, 11 (1987)
T Tomoda and A Faessler, Phys. Lett. B 199, 475 (1987)
J Engel, P Vogel and M R Zirnbauer, Phys. Rev. C 37, 731 (1988)
K Muto and H V Klapdor, Phys. Lett. B 201, 420 (1988)
J Suhonen, T Taigel and A Faessler, Nucl. Phys. A 486, 91 (1988)
K Muto, E Bender and H V Klapdor, Z. Phys. A 334, 187 (1989)
G Pantis et al, J. Phys. G 18, 605 (1992)
J Engel et al, Phys. Lett. B 208, 187 (1988)
J Hirsch and F Krmpotic, Phys. Rev. C 41, 792 (1990)
A Staudt, T T S Kuo and H V Klapdor-Kleingrothaus, Phys. Rev. C 46, 871 (1992
F Krmpotic, Phys. Rev. C 48, 1452 (1993)
S S Hsiao, Y Tzeng and T T S Kuo, Phys. Rev. C 49, 2233 (1994)
M K Cheoun et al, Prog. Part. Nucl. Phys. 32, 315 (1994)
O Civitarese and J Suhonen, Nucl. Phys. A 607, 152 (1996)
J Suhonen et al, Phys. Rev. C 55, 714 (1997)
O Civitarese and J Suhonen, Nucl. Phys. A 653, 321 (1999)
F Simkovic, L Pacearescu and A Faessler, Nucl. Phys. A 733, 321 (2004)
A A Raduta et al, Phys. Rev. C 69, 064321 (2004)
V A Rodin, M H Urin and A Faessler, Nucl. Phys. A 747, 295 (2005)
R Alvarez-Rodriguez et al, Prog. Part. Nucl. Phys. 57, 251 (2006)
M S Yousef et al, Nucl. Phys. B: Proc. Suppl. 188, 56 (2009)
M S Yousef et al, Phys. Rev. C 79, 014314 (2009)
O Moreno et al, J. Phys. G: Nucl. Part. Phys. 36, 015106 (2009)
C D Konti, F Krmpotic and B V Carlson, arXiv:1202.3511v1 [nucl-th] (2012)
L Arisoy and S Unlu, Nucl. Phys. A 883, 35 (2012)
S Unlu, Phys. Scr. 87, 045202 (2013)
J Suhonen and O Civitarese, Nucl. Phys. A 924, 1 (2014)
S Unlu and N Cakmak, Nucl. Phys. A 939, 13 (2015)
J -Un Nabi, N Cakmak and Z Iftikhar, Eur. Phys. J. A 52, 1, 2016.
J -Un Nabi et al, Nucl. Phys. A 957, 1 (2017)
S Unlu, N Cakmak and C Selam, Nucl. Phys. A 957, 491 (2017)
S Unlu, N Cakmak and C Selam, Nucl. Phys. A 970, 379 (2018)
S Cakmak and N Cakmak, Nucl. Phys. A 1015, 122287 (2021)
Q Zheng et al, Nucl. Phys. Rev. 38, 361 (2021)
H A Aygör et al, Int. J. Mod. Phys. E 30, 2150011 (2021)
J-Un Nabi et al, Nucl. Phys. A 1015, 122278 (2021)
S Unlu and N Cakmak, Act. Phys. Pol. B 53, 3 (2022)
P Möller, B Pfeiffer and K L Kratz, Phys. Rev. C 67, 055802 (2003)
I N Borzov, Phys. At. Nucl. 79, 910 (2016)
T Marketin, L Huther and G Martinez-Pinedo, Phys. Rev. C 93, 025805 (2016)
M T Mustonen and J Engel, Phys. Rev. C 93, 014304 (2016)
E M Ney, J Engel, T Li and N Schunck, Phys. Rev. C 102, 034326 (2020)
N I Pyatov and D I Salamov, Nucleonica 22, 127 (1977)
O Civitarese and M C Licciardo, Phys. Rev. C 38, 967 (1988)
O Civitarese and M C Licciardo, Phys. Rev. C 41, 1778 (1990)
O Civitarese, A Faessler and M C Licciardo, Nucl. Phys. A 542, 221 (1992)
E Guliyev et al, Phys. Lett. B 532, 173 (2002)
E Guliyev, A A Kuliev and F Ertugral, Eur. Phys. J. A 39, 323 (2009)
F Ertugral et al, Cent. Eur. J. Phys. 7, 731 (2009)
H Quliyev et al, Appl. Sci. Rep. 14, 199 (2016)
T Babacan et al, J. Phys. G: Nucl. Part. Phys. 30, 759 (2004)
A Kucukbursa et al, Pramana – J. Phys. 63, 947 (2004)
D I Salamov et al, Pramana – J. Phys. 66, 1105 (2006)
A E Calik, M Gerceklioglu and D I Salamov, Z. Naturforsch. A 64 , 865 (2009)
A E Calik, M Gerceklioglu and D I Salamov, Pramana – J. Phys. 79, 417 (2012)
A E Calik, M Gerceklioglu and C Selam, Phys. At. Nucl. 76, 549 (2013)
H A Aygör et al, Cent. Eur. J. Phys. 12, 490 (2014)
T Babacan, D I Salamov and A Kucukbursa, Phys. Rev. C 71, 037303 (2005)
D I Salamov, S Unlu and N Cakmak, Pramana – J. Phys. 69, 369 (2007)
V G Soloviev, Theory of complex nuclei (Pergamon Press, New York, 1976)
A A Bohr and B R Mottelson, Nuclear structure (Benjamin, New York, Amsterdam, 1969)
P Möller and J R Nix, Nucl. Phys. A 536, 20 (1992)
W Greiner and J A Maruhn, Nuclear models (Springer-Verlag, Berlin, Heidelberg, 1996)
D A Varshalovich, A N Moskalev and V K Khersonskii, Quantum theory of angular momentum (World Scientific Publishing, Singapore, 1988)
H Akimune et al, Nucl. Phys. A 569, 245c (1994)
S K Basu, G Mukherjee and A A Sonzogni, Nucl. Data Sheets 111, 2555 (2010)
E Browne and J K Tuli, Nucl. Data Sheets 108, 2173 (2007)
P K Joshiör et al, Nucl. Data Sheets 138, 1 (2016)
F G Kondev, Nucl. Data Sheets 166, 1 (2020)
J Chen and F G Kondev, Nucl. Data Sheets 126, 373 (2015)
E A Mccutchan et al, Nucl. Data Sheets 114, 661 (2013)
V R Vanin et al, Nucl. Data Sheets 108, 2393 (2007)
H Xiaolong and Z Chunmei, Nucl. Data Sheets 104, 283 (2005)
B Singh, Nucl. Data Sheets 108, 79 (2007)
F G Kondev, Nucl. Data Sheets 187, 355 (2023)
Acknowledgements
The present work is supported by the Scientific and Technological Research Council of Turkey under the grant number 121F206.
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C. Selam: Retired from Muş Alparslan University, Muş, Türkiye.
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Ünlü, S., Bİrcan, H., Çakmak, N. et al. A theoretical description of the first-forbidden \(\beta \)-decay transitions within Pyatov’s restoration method. Pramana - J Phys 97, 121 (2023). https://doi.org/10.1007/s12043-023-02601-5
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DOI: https://doi.org/10.1007/s12043-023-02601-5