Abstract
Lepton (electron and positron) capture rates on iron-regime nuclei are an essential element for modeling the late stages of progression of massive stars that become core collapse and thermonuclear supernova. As per previous simulation studies, lepton capture (LC) rates on isotopes of vanadium are believed to have a substantial effect in regulating the Ye (lepton to baryon fraction) during the final evolutionary phases. The present work involves the calculation of lepton capture rates for 22 isotopes of vanadium by making use of the proton-neutron (pn-) quasiparticle random phase approximation (QRPA) model. The covered mass range is from A = 43 to 64. The LC rates have been computed over stellar densities ranging from \(10^{1}\) to \(10^{11}\) (g/cm3) and for the temperature range \(10^{7} - 3 \times 10^{10}\) (K). A comparison of our calculated LC rates to the rates computed using other models (IPM and LSSM) has also been presented. As compared to the rates calculated by other models, pn-QRPA rates at high temperature (\(3 \times 10^{10}\) K) are larger by up to 1-2 orders of magnitude.
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Audi, G., et al.: Chin. Phys. C 41, 030001 (2017)
Aufderheide, M.B., Fushiki, I., Woosley, S.E., et al.: Astrophys. J. Suppl. 91, 389 (1994)
Aufderheide, M.B., Bloom, S.D., Mathews, G.J., Resler, D.A.: Phys. Rev. C 53, 3139 (1996)
Bethe, H.A.: Rev. Mod. Phys. 62, 801 (1990)
Bethe, H.A., Brown, G.E., Applegate, J., et al.: Nucl. Phys. A 324, 487 (1979)
Brink, D.: D. Phil. Thesis, Oxford University, Unpublished (1955)
Burbidge, E.M., Burbidge, C.R., Fowler, W.A., Hoyle, F.: Rev. Mod. Phys. 29, 547 (1957)
Busso, M., Gallino, R., Wasserburg, G.J.: Annu. Rev. Astron. Astrophys. 37, 239–309 (1999)
Cole, A.L., et al.: Phys. Rev. C 86, 015809 (2012)
El-Kateb, S., et al.: Phys. Rev. C 49, 3128 (1994)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Astrophys. J. Suppl. Ser. 42, 447 (1980)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Astrophys. J. Suppl. Ser. 48, 279 (1982a)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Astrophys. J. 252, 715 (1982b)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Astrophys. J. 293, 1 (1985)
Gove, N.B., Martin, M.J.: At. Data Nucl. Data Tables 10, 205 (1971)
Hardy, J.C., Towner, I.C.: Phys. Rev. C 79(5), 055502 (2009)
Heger, A., et al.: Phys. Rev. Lett. 86, 1678 (2001)
Hirsch, M., et al.: Nucl. Phys. 535, 62 (1991)
Hirsch, M., et al.: At. Data Nucl. Data Tables 53, 165–193 (1993)
Hix, W.R., et al.: Phys. Rev. Lett. 91, 201102 (2003)
Ikeda, K., Fujii, S., Fujita, J.I.: Phys. Lett. 3, 271 (1963)
Johnson, C.W.: Phys. Lett. B 750, 72 (2015)
Langanke, K., Martínez-Pinedon, G.: Nucl. Phys. A 673, 481 (2000)
Langanke, K., Martínez-Pinedon, G.: Rev. Mod. Phys. 75, 819 (2003)
Misch, G.W., et al.: Phys. Rev. C 90, 065808 (2014)
Möller, P., et al.: At. Data Nucl. Data Tables 59, 185 (1995)
Nabi, J.-U., Klapdor-Kleingrothaus, H.V.: Eur. Phys. J. A 5, 337 (1999a)
Nabi, J.-U., Klapdor-Kleingrothaus, H.V.: At. Data Nucl. Data Tables 71, 149 (1999b)
Nabi, J.-U., Klapdor-Kleingrothaus, H.V.: At. Data Nucl. Data Tables 88, 237 (2004)
Nabi, J.-U., Majid, M.: Int. J. Mod. Phys. B 26(3), 1750005 (2017)
Nabi, J.-U., Rahman, M.-U.: Phys. Lett. B 612, 190 (2005)
Nabi, J.-U., Sajjad, M.: Phys. Rev. C 76, 055803 (2007)
Nabi, J.-U., Sajjad, M.: Phys. Rev. C 77, 055802 (2008)
Nabi, J.-U., Rahman, M.-U., Sajjad, M.: Braz. J. Phys. 37, 1238 (2007)
Nakamura, K., et al. (Particle Data Group): J. Phys. G, Nucl. Part. Phys. 37(7A), 075021 (2010)
Nilsson, S.G.: Mat.-Fys. Medd. Dan. Vid. Selsk. 29, 16 (1955)
Pruet, J., Fuller, G.M.: Astrophys. J. Suppl. Ser. 149, 189 (2003)
Rahman, M.-U., Nabi, J.-U.: Astrophys. Space Sci. 348, 427–435 (2013)
Rauscher, T., Heger, A., Hoffman, R.D., Woosley, S.E.: Astrophys. J. 576, 323–348 (2002)
Sarriguren, P.: Phys. Rev. C 87, 045801 (2013)
Sarriguren, P.: Phys. Rev. C 93, 054309 (2016)
Shehzadi, R., Nabi, J.-U., Ali, H.: Astrophys. Space Sci. 365, 3 (2020)
Staudt, A., et al.: At. Data Nucl. Data Tables 44, 79 (1990)
Suzuki, T., Toki, H., Nomoto, K.: Astrophys. J. 817, 163 (2016)
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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.
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Shehzadi, R., Nabi, JU. & Farooq, F. Lepton capture rates due to isotopes of vanadium in astrophysical environment. Astrophys Space Sci 365, 173 (2020). https://doi.org/10.1007/s10509-020-03887-2
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DOI: https://doi.org/10.1007/s10509-020-03887-2