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

Year 2020, , 6 - 11, 18.06.2020

Jameel-un Nabı , Muhammad Riaz Asim Ullah

https://doi.org/10.17678/beuscitech.640057

Abstract

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

Supporting Institution

Higher Education Commission Pakistan

Project Number

5557/KPK /NRPU/R&D/HEC/2016, 9-5(Ph-1-MG-7)/PAK-TURK /R&D/HEC/2017

Thanks

J.-U. Nabi would like to acknowledge the support of the Higher Education Commission Pakistan through project numbers 5557/KPK /NRPU/R&D/HEC/2016, 9-5(Ph-1-MG-7)/PAK-TURK /R&D/HEC/2017 and Pakistan Science Foundation through project number PSF-TUBITAK/KP-GIKI (02).

References

• [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.