Abstract
Gamow-Teller (GT) transitions play a preeminent role in the collapse of stellar core in the stages leading to a Type-II supernova. The microscopically calculated GT strength distributions from ground and excited states are used for the calculation of weak decay rates for the core-collapse supernova dynamics and for probing the concomitant nucleosynthesis problem. The B(GT) strength for 57Zn is calculated in the domain of proton-neutron Quasiparticle Random Phase Approximation (pn-QRPA) theory. No experimental insertions were made (as usually made in other pn-QRPA calculations of B(GT) strength function) to check the performance of the model for proton-rich nuclei. The calculated B(GT) strength distribution is in good agreement with measurements and shows differences with the earlier reported shell model calculation. The pn-QRPA model reproduced the measured low-lying strength for 57Zn better in comparison to the KB3G interaction used in the large-scale shell model calculation. The stellar weak rates are sensitive to the location and structure of these low-lying states in daughter 57Cu. The structure of 57Cu plays a sumptuous role in the nucleosynthesis of proton-rich nuclei. The primary mechanism for producing such nuclei is the rp-process and is believed to be important in the dynamics of the collapsing supermassive stars. Small changes in the binding and excitation energies can lead to significant modifications of the predictions for the synthesis of proton rich isotopes. The β +-decay and electron capture (EC) rates on 57Zn are compared to the seminal work of Fuller, Fowler and Newman (FFN). The pn-QRPA calculated β +-decay rates are generally in good agreement with the FFN calculation. However at high stellar temperatures the calculated β +-decay rates are almost half of FFN rates. On the other hand, for rp-process conditions, the calculated electron capture (β +-decay) rates are bigger than FFN rates by more than a factor 2 (1.5) and may have interesting astrophysical consequences.
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References
Audi, G., Bersillon, O., Blachot, J., Wapstra, A.H.: The NUBASE evaluation of nuclear and decay properties. Nucl. Phys. A 729, 3 (2003a)
Audi, G., Wapstra, A.H., Thibault, C.: The AME2003 atomic mass evaluation (II): tables, graphs and references. Nucl. Phys. A 729, 337 (2003b)
Bethe, H.A., Brown, G.E., Applegate, J., Lattimer, J.M.: Equation of state in the gravitational collapse of stars. Nucl. Phys. A 324, 487 (1979)
Burrows, A., Livne, E., Dessart, L., Ott, C.D., Murphy, J.: Features of the acoustic mechanism of core-collapse supernova explosions. Astrophys. J. 640, 878–890 (2006)
Cowan, J.J., Thielemann, F.-K.: R-process nucleosynthesis in supernovae. Phys. Today 57, 47 (2004)
Fujita, Y., et al.: Gamow-Teller strengths in proton-rich exotic nuclei deduced in the combined analysis of mirror transitions. Phys. Rev. Lett. 95, 212501 (2005)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Stellar Weak interaction rates for intermediate mass nuclei. III. Rate tables for the free nucleons and nuclei with A=21 to A=60. Astrophys. J. Suppl. Ser. 48, 279 (1982)
Halbleib, J.A., Sorensen, R.A.: Gamow-Teller beta decay in heavy spherical nuclei and the unlike particle-hole rpa. Nucl. Phys. A 98, 542 (1967)
Heger, A., Woosley, S.E., Martínez-Pinedo, G., Langanke, K.: Presupernova evolution with improved rates for weak interactions. Astrophys. J. 560, 307 (2001)
Hirsch, M., Staudt, A., Muto, K., Klapdor-Kleingrothaus, H.V.: Microscopic predictions of β +/EC-decay half-lives. At. Data Nucl. Data Tables 53, 165 (1993)
Jokinen, A., et al.: Beta decay of 57Zn. Eur. Phys. J. Dir. A 3, 1 (2002)
Kitaura, F.S., Janka, H.-Th., Hillebrandt, W.: Explosions of O-Ne-Mg cores, the Crab supernova, and subluminous Type II-P supernovae. Astron. Astrophys. 450, 345 (2006)
Kuzmin, V.A., Soloviev, V.G.: Gamow-Teller β + decays and strength functions of (n, p) transitions in spherical nuclei. Nucl. Phys. A 486, 118 (1988)
Langanke, K., Martínez-Pinedo, G.: Rate tables for the weak processes of pf-shell nuclei in stellar environments. At. Data Nucl. Data Tables 79, 1–46 (2001)
Muto, K., Bender, E., Oda, T., Klapdor-Kleingrothaus, H.V.: Proton-neutron quasiparticle RPA with separable Gamow-Teller forces. Z. Phys. A 341, 407 (1992)
Nabi, J.-Un: Stellar neutrino energy loss rates due to 24Mg for O+Ne+Mg core simulations. Phys. Rev. C 78, 045801 (2008)
Nabi, J.-Un: Weak-interaction-mediated rates on iron isotopes for presupernova evolution of massive stars. Eur. Phys. J. A 40, 223 (2009)
Nabi, J.-Un: Neutrino and antineutrino energy loss rates in massive stars due to isotopes of titanium. Int. J. Mod. Phys. E 19, 1 (2010a)
Nabi, J.-Un: Expanded calculation of neutrino cooling rates due to 56Ni in stellar matter. Phys. Scr. 81, 025901 (2010b)
Nabi, J.-U.: Stellar β ± decay rates of iron isotopes and its implications in astrophysics. Adv. Space Res. (2010c). doi:10.1016/j.asr.2010.05.026
Nabi, J.-Un, Klapdor-Kleingrothaus, H.V.: Weak interaction rates of sd-shell nuclei in stellar environments calculated in the proton-neutron quasiparticle random-phase approximation. At. Data Nucl. Data Tables 71, 149 (1999)
Nabi, J.-Un, Klapdor-Kleingrothaus, H.V.: Microscopic calculations of stellar weak interaction rates and energy losses for fp- and fpg-shell nuclei. At. Data Nucl. Data Tables 88, 237 (2004)
Nabi, J.-Un, Rahman, M.-Ur: Gamow-Teller strength distributions and electron capture rates for 55Co and 56Ni. Phys. Lett. B 612, 190 (2005)
Nabi, J.-Un, Rahman, M.-Ur: Gamow-Teller transitions from 24Mg and their impact on the electron capture rates in the O+Ne+Mg cores of stars. Phys. Rev. C 75, 035803 (2007)
Nabi, J.-Un, Sajjad, M.: Neutrino energy loss rates and positron capture rates on 55Co for presupernova and supernova physics. Phys. Rev. C 77, 055802 (2008)
Poves, A., Sánchez-Solano, A., Caurier, E., Nowacki, F.: Shell model study of the isobaric chains A=50, A=51 and A=52. Nucl. Phys. A 694, 157 (2001)
Rahman, M.-U.: The Gamow-Teller strength distributions and associated weak decay rates in stellar matter. Ph.D. thesis, GIK Institute of Eng. Sciences & Tech. Pakistan (2007)
Schatz, H., Aprahamian, A., Görres, J., Wiescher, M., Rauscher, T., Rembges, J.F., Thielemann, F.-K., Pfeiffer, B., Möller, P., Kratz, K.-L., Herndl, H., Brown, B.A., Rebel, H.: rp-Process nucleosynthesis at extreme temperature and density conditions. Phys. Rep. 294, 167 (1998)
Soderberg, A.M., et al.: An extremely luminous X-ray outburst at the birth of a supernova. Nature 453, 469 (2008)
Soloviev, V.G.: Fragmentation of single-particle and collective motions in the quasiparticle–phonon nuclear model. Prog. Part. Nucl. Phys. 19, 107 (1987)
Staudt, A., Bender, E., Muto, K., Klapdor-Kleingrothaus, H.V.: Second-generation microscopic predictions of beta-decay half-lives of neutron-rich nuclei. At. Data Nucl. Data Tables 44, 79 (1990a)
Staudt, A., Hirsch, M., Muto, K., Klapdor-Kleingrothaus, H.V.: Calculation of β-delayed fission of 180Tl and application of the quasiparticle random-phase approximation to the prediction of β +-decay half-lives of neutron-deficient isotopes. Phys. Rev. Lett. 65, 1543 (1990b)
Vieira, D.J., Sherman, D.F., Zisman, M.S., Gough, R.A., Cerny, J.: Extension of the T z =3/2 beta-delayed proton precursor series to 57Zn. Phys. Lett. B 60, 261 (1976)
Wallace, R.K., Woosley, S.E.: Explosive hydrogen burning. Astrophys. J. Suppl. Ser. 45, 389 (1981)
Wanajo, S.: The rp-Process in neutrino-driven winds. Astrophys. J. 647, 1323 (2006)
Zhou, X.G., Dejbakhsh, H., Gagliardi, C.A., Jiang, J., Trache, L., Tribble, R.E.: Low-lying levels in 57Cu and the rp process. Phys. Rev. C 53, 982 (1996)
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Nabi, JU., Rahman, MU. Gamow-Teller strength distribution in proton-rich nucleus 57Zn and its implications in astrophysics. Astrophys Space Sci 332, 309–317 (2011). https://doi.org/10.1007/s10509-010-0547-z
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DOI: https://doi.org/10.1007/s10509-010-0547-z