Jameel-un NABI, Muhammad RİAZ, Asim ULLAH

Gamow-teller strength and electron capture cross-section calculation by pn-QRPA for selected fp-shell nuclei

The allowed Gamow-Teller (GT) strengths and associated weak interaction rates on fp-shell nuclides are the most familiar processes of spin-isospin (στ) type. These rates play a crucial role in several astrophysical processes, particularly in nuclear synthesis and supernova-explosions. As per simulation consequences, the electron capture cross-section on medium-heavy nuclei has a key impact on decreasing the ratio of electron-to-baryon of the stellar matter during the late stages of stars formation. Stellar model based on the theoretical approaches should be tested against the available measured data. In the current work we present calculated Gamow-Teller strength distributions by pn-QRPA model for selected fp-shell nuclei (42Ti, 46Cr, 50Fe and 54Ni) and compare our results with available measured data. The Gamow-Teller strength distributions are well fragmented over the energy range 0-12 MeV and have a good comparison with experimental data. We calculate the electron capture cross-section for selected nuclei at temperature 0.5 MeV, 1.0 MeV and 1.5 MeV that shows the temperature dependence of calculated electron capture cross-section for astrophysical applications.

Keywords:

Gamow-Teller transitions, Electron capture cross section,

PDF

___

[1] A. Staudt, E. Bender, K. Muto and H. V. Klapdor Kleingrothaus, At. Data. Nucl. Data. Tables, (1990), 44, 79.
[2] M. Hirsch, A. Staudt, K. Muto and H. V. Klapdor-Kleingrothaus, At. Data and Nucl. Data Tables, (1993), 53, 165-193.
[3] J.-U. Nabi and H. V. Klapdor-Kleingrothaus, Atom. Data and Nucl. Data Tables, (2004), 88, 237.
[4] J.-U. Nabi and H. V. Klapdor-Kleingrothaus, At. Data Nucl. Data Tables, (1999), 71, 149.
[5] G. M. Fuller, W. A. Fowler and M. J. Newman, Astrophys. J. Suppl. Ser, (1980), 42, 447; (1982), 48, 279; Astrophys. J. (1982), 252, 715; (1985), 293, 1.
[6] K. Langanke and G. Martinez-Pinedo, Nucl. Phys. A (2000), 673, 481.
[7] G. Martinez-Pinedo, K. Langanke and D. J. Dean, Astrophys. J. Suppl. Ser, (2000), 126, 493.
[8] A. Heger, K. Langanke, G. Martinez-Pinedo and S. E. Woosley, Phys. Rev. Lett, (2001), 86, 1678.
[9] D. J. Dean, K. Langanke, L. Chatterjee, P. B. Radha and M. R. Strayer, Phys. Rev. C, (1998), 58, 536.
[10] D. Brink, D. Phil. Thesis, Oxford University, Unpublished (1955); P. Axel, Phys. Rev. (1962), 126, 671.
[11] S. G. Nilsson, Mat. Fys. Medd. Dan. Vid. Selsk (1955), 29, 1.
[12] K. Ikeda, S. Fujii and J. I. Fujita, Phys. Lett. (1963), 3 271.
[13] I. Ragnarsson and R. K. Sheline, Phys. Scr. (1984), 29, 385.
[14] P. Moller and J. Randrup, Nucl. Phys. A, (1990), 514, 1.
[15] P. Moller, A. J. Sierk, T. Ichikawa and H. Sagawa, At. Data Nucl. Data Tables (2016), 109, 1.
[16] G. Audi, F. Kondev, M. Wang, W. Huang, and S. Naimi, Chinese physics C, (2017), 41, 030001.
[17] M. Hirsch, A. Staudt, K. Muto and H. V. Klapdor-Kleingrothaus, Nucl. Phys. A, (1991), 535, 62.
[18] K. Muto, E. Bender and H. V. Klapdor, Z. Phys. A Atom. Nuc. A, (1989), 333, 125.
[19] K. Nakamura, (Particle Data Group): J. Phys. G, Nucl. Part. Phys. (2010), 37, 075021.
[20] N. B. Gove and M. J. Martin, At. Data Nucl. Data Tables (1971), 10, 205.
[21] C. D. Goodman, C. A. Goulding, M. B. Greenfield, J. Rapaport, D. E. Bainum, C. C. Foster, W. G. Love and F. Petrovich, Phys. Rev. Lett., (1980), 44, 1755.
[22] F. Molina, B. Rubio, Y. Fujita, W. Gelletly, J. Agramunt, A. Algora, J. Benlliure, P. Boutachkov, L. Cceres, R. B. Cakirli and E. Casarejos, Physical Rev. C, (2015), 91, 014301.
[23] T. Adachi, Y. Fujita, P. Von Brentano, A. F. Lisetskiy, G. P. A. Berg, C. Fransen, D. De Frenne, H. Fujita, K. Fujita, K. Hatanaka and M. Honma, Physical Rev. C, (2006), 73 024311.
[24] Y. Fujita, T. Adachi, P. Von Brentano, G. P. A. Berg, C. Fransen, D. De Frenne, H. Fujita, K. Fujita, K. Hatanaka, E. Jacobs and K. Nakanishi, Physical Rev. let, (2005), 95, 212501.
[25] T. Adachi, Y. Fujita, P. Von Brentano, G. P. A. Berg, C. Fransen, D. De Frenne, H. Fujita, K. Fujita, K. Hatanaka, M. Honma and E. Jacobs, Nucl. Phys. A, (2007), 788, 70-75.
[26] T. Adachi, Y. Fujita, A. D. Bacher, G. P. A. Berg, T. Black, D. De Frenne, C. C. Foster, H. Fujita, K. Fujita, K. Hatanaka and M. Honma, Phys. Rev. C, (2012), 85, 024308.
[27] V. Kumar and P. C. Srivastava, The Eur. Phys. J. A 52 (2016) 181.