Abstract
In astrophysical environments, allowed Gamow-Teller (GT) transitions are important, particularly for β-decay rates in presupernova evolution of massive stars, since they contribute to the fine-tuning of the lepton-to-baryon content of the stellar matter prior to and during the collapse of a heavy star. In environments where GT transitions are unfavored, first-forbidden transitions become important especially in medium heavy and heavy nuclei. Particularly in case of neutron-rich nuclei, first-forbidden transitions are favored primarily due to the phase-space amplification for these transitions. In this work the total β-decay half-lives and the unique first-forbidden (U1F) β-decay rates for a number of neutron-rich nickel isotopes, 72–78Ni, are calculated using the proton-neutron quasi-particle random phase approximation (pn-QRPA) theory in stellar environment for the first time. For the calculation of the β-decay half-lives both allowed and unique first-forbidden transitions were considered. Comparison of the total half-lives is made with measurements and other theoretical calculations where it was found that the pn-QRPA results are in better agreement with experiments and at the same time are suggestive of inclusion of rank 0 and rank 1 operators in first-forbidden rates for still better results.
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Ameil, F., et al.: β-Decay half-lives of very neutron-rich isotopes of elements from Ti to Ni. Eur. Phys. J. A 1, 275 (1998)
Audi, G., Wapstra, A.H., Thibault, C.: The AME2003 atomic mass evaluation (II): tables, graphs and references. Nucl. Phys. A 729, 337 (2003)
Aufderheide, M.B., Fushiki, I., Woosley, S.E., Stanford, E., Hartmann, D.H.: Search for important weak interaction nuclei in presupernova evolution. Astrophys. J. Suppl. Ser. 91, 389 (1994)
Behrens, H., Bühring, W.: In: Electron Radial Wave Functions and Nuclear Beta-Decay. Clarendon, Oxford (1982)
Blatt, J.M., Weisskopf, V.F.: Theoretical Nuclear Physics. Springer, Berlin (1979)
Borzov, I.N.: β-Delayed neutron emission in the 78Ni region. Phys. Rev. C 71, 065801 (2005)
Borzov, I.N.: Beta-decay rates. Nucl. Phys. A 777, 645 (2006)
Burbidge, E.M., Burbidge, G.R., Fowler, W.A., Hoyle, F.: Synthesis of the elements in stars. Rev. Mod. Phys. 29, 547 (1957)
Commins, E.D.: Weak Interactions. McGraw-Hill, New York (1973)
Cooperstein, J., Wambach, J.: Electron capture in stellar collapse. Nucl. Phys. A 420, 591 (1984)
Engel, J., Bender, M., Dobaczewski, J., Nazarewicz, W., Surman, R.: β decay rates of r-process waiting-point nuclei in a self-consistent approach. Phys. Rev. C 60, 014302 (1999)
Franchoo, S., et al.: Beta decay of 68−74Ni and level structure of neutron-rich Cu isotopes. Phys. Rev. Lett. 81, 3100 (1998)
Gove, N.B., Martin, M.J.: Log-f tables for beta decay. At. Data Nucl. Data Tables 10, 205 (1971)
Grewe, E.-W., et al.: The (d,2He) reaction on 76Se and the double-β-decay matrix elements for A = 76. Phys. Rev. C 78, 044301 (2008)
Grotz, K., Klapdor, H.V.: The Weak Interaction in Nuclear, Particle and Astrophysics. Hilger, Bristol (1990)
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)
Homma, H., Bender, E., Hirsch, M., Muto, K., Klapdor-Kleingrothaus, H.V., Oda, T.: Systematic study of nuclear β decay. Phys. Rev. C 54, 2972 (1996)
Hosmer, P.T., et al.: Half-life of the doubly magic r-process nucleus 78Ni. Phys. Rev. Lett. 94, 112501 (2005)
Klapdor, H.V.: The shape of the beta strength function and consequences for nuclear physics and astrophysics. Prog. Part. Nucl. Phys. 10, 131 (1983)
Klapdor, H.V., Metzinger, J., Oda, T.: Beta-decay half-lives of neutron-rich nuclei. At. Data Nucl. Data Tables 31, 81 (1984)
Langanke, K., Martínez-Pinedo, G.: Shell-model calculations of stellar weak interaction rates. II. Weak rates for nuclei in the mass range A=45–65 in supernovae environments. Nucl. Phys. A 673, 481 (2000)
Langanke, K., Martínez-Pinedo, G.: Nuclear weak-interaction processes in stars. Rev. Mod. Phys. 75, 819 (2003)
Marketin, T., Vretenar, D., Ring, P.: Calculation of β-decay rates in a relativistic model with momentum-dependent self-energies. Phys. Rev. C 75, 024304 (2007)
McLaughlin, G., Fuller, G.: Weak charge-changing flow in expanding r-process environments. Astrophys. J. 489, 766 (1997)
Minato, F., Bai, C.L.: Impact of tensor force on β decay of magic and semimagic nuclei. Phys. Rev. Lett. 110, 122501 (2013)
Möller, P., Nix, J.R.: Atomic mass and nuclear ground-state deformations calculated with a new macroscopic-microscopic model. At. Data Nucl. Data Tables 26, 165 (1981)
Möller, P., Pfeiffer, B., Kratz, K.-L.: New calculations of gross β-decay properties for astrophysical applications: speeding-up the classical r process. Phys. Rev. C 67, 055802 (2003)
Muto, K., Bender, E., Oda, T.: β + decays of very proton-rich sd-shell nuclei. Phys. Rev. C 43, 1487 (1991)
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, 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)
Niksic, T., Marketin, T., Vretenar, D., Paar, N., Ring, P.: β-Decay rates of r-process nuclei in the relativistic quasiparticle random phase approximation. Phys. Rev. C 71, 014308 (2005)
Schopper, H.F.: Weak Interactions and Nuclear Beta Decay. North-Holland, Amsterdam (1966)
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 (1990)
Takahashi, K., Yamada, M., Kondoh, T.: Beta-decay half-lives calculated on the Gross theory. At. Data Nucl. Data Tables 12, 101 (1973)
Warburton, E.K., Becker, J.A., Millener, D.J., Brown, B.A.: First-forbidden beta decay near A=40. Ann. Phys. 187, 471 (1988)
Warburton, E.K., Towner, I.S., Brown, B.A.: First-forbidden β decay: meson-exchange enhancement of the axial charge at A ∼ 16. Phys. Rev. C 49, 824 (1994)
Wu, C.S., Moszkowski, S.A.: Beta Decay. Wiley, New York (1966)
Zhi, Q., Caurier, E., Cuenca-García, J.J., Langanke, K., Martínez-Pinedo, G., Siega, K.: Shell-model half-lives including first-forbidden contributions for r-process waiting point nuclei. Phys. Rev. C 87, 025803 (2013)
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The authors would like to acknowledge the support of the Horia Hulubei Foundation through the project PCE-IDEI-2011-3-0318, Contract No. 58.11.2011.
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Nabi, JU., Stoica, S. Unique first-forbidden β-decay rates for neutron-rich nickel isotopes in stellar environment. Astrophys Space Sci 349, 843–855 (2014). https://doi.org/10.1007/s10509-013-1673-1
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DOI: https://doi.org/10.1007/s10509-013-1673-1