Abstract
The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the frame work of nuclear shell model is calculated herein. Theoretical results of Q values, half-lives, excitation energies, log ft values, branching fractions, and β-delayed proton/neutron emission probabilities are tabulated and compared with experimental data. The deviations from the observations are also analyzed. The 11Be nucleus is well known for its anomaly ground state J π=1/2+. Thus, we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent. The quenching factor is also evaluated and discussed.
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Navin A, Anthony D W, Aumann T, et al. Direct evidence for the breakdown of the N=8 shell closure in 12Be. Phys Rev Lett, 2000, 85: 266–269
Minamisono T, Ohtsubo T, Minami I, et al. Proton halo of 8Be disclosed by its giant quadrupole moment. Phys Rev Lett, 1992, 69: 2058–2061
Tanihata I, Hamagaki H, Hashimoto O, et al. Measurements of interaction cross sections and nuclear radii in the light p-shell region. Phys Rev Lett, 1985, 55: 2676–2679
Sánchez R, Nörtershäuser W, Ewald G, et al. Nuclear charge radii of 9,11Li: The influence of halo neutrons. Phys Rev Lett, 2006, 96: 033002
Otsuka T, Ishihara M, Fukunishi N, et al. Neutron halo effect on direct neutron capture and photodisintegration. Phys Rev C, 1994, 49: R2289–R2292
Nörtershäuser W, Tiedemann D, Žáková M, et al. Nuclear charge radii of 7,9,10Be and the one-neutron halo nucleus 11Be. Phys Rev Lett, 2009, 102: 062503
Labiche M, Orr N A, Marqués F M, et al. Halo structure of 14Be. Phys Rev Lett, 2001, 86: 600–603
Chou W-T, Warburton E K, Brown B A. Gamow-Teller beta-decay rates for A⩾18 nuclei. Phys Rev C, 1993, 47: 163–177
Caurier E, Martínez-Pinedo G, Nowacki F, et al. The shell model as a unified view of nuclear structure. Rev Mod Phys, 2005, 77: 427–488
Jensen A S, Riisager K, Fedorov D V, et al. Structure and reactions of quantum halos. Rev Mod Phys, 2004, 76: 215–261
Brown B A. The nuclear shell model towards the drip lines. Prog Part Nucl Phys, 2001, 47: 517–599
Otsuka T, Fukunishi N, Sagawa H. Structure of exotic neutron-rich nuclei. Phys Rev Lett, 1993, 70: 1385–1388
Suhara T, Kanada-En’yo Y. Cluster structures in 11B. Phys Rev C, 2012, 85: 054320
Dehesa J S, Krewald S, Speth J, et al. Spreading widths of giant resonances in 12C and 16O. Phys Rev C, 1977, 15: 1858–1865
Ren Z Z, Faessler A, Bobyk A. Relativistic mean-field description of a proton halo in the first excited (1/2)+ state of 17F. Phys Rev C, 1998, 57: 2752–2755
Zhi Q J, Ren Z Z. Systematic studies on the exotic properties of isotopes from oxygen to calcium. Nucl Phys A, 2007, 794: 10–28
Zhou B, Funaki Y, Horiuchi H, et al. Nonlocalized clustering: A new concept in nuclear cluster structure physics. Phys Rev Lett, 2013, 110: 262501
Ni D D, Ren Z Z. Calculations of the β-decay half-lives of neutron-rich nuclei. J Phys G-Nucl Part Phys, 2012, 39: 125105
Ni D D, Ren Z Z. Calculations of β-decay half-lives of proton-rich nuclei. Sci China-Phys Mech Astron, 2012, 55: 2397–2406
Negret A, Adachi T, Barrett B R, et al. Gamow-Teller strengths in the A=14 multiplet: A challenge to the shell model. Phys Rev Lett, 2006, 97: 062502
Cao Z X, Ye Y L. Study of the structure of unstable nuclei through the reaction experiments. Sci China-Phys Mech Astron, 2011, 54: s1–s5
Ma Y G, Fang D Q, Sun X Y, et al. Measurements on diproton emission from the break-up channels of 23Al and 22Mg. Sci China-Phys Mech Astron, 2011, 54: s18–s23
Wang Z J, Ren Z Z. Investigation of proton halos in 28S by electron elastic scattering (in Chinese). Sci China Ser G-Phys Mech Astron, 2003, 33: 385–392
Xu S W, Li Z K, Xie Y X, et al. β-delayed proton emission near the proton drip line. Sci China Ser G-Phys Mech Astron, 2005, 35: 1–10
Hua H, Li Z H, Ye Y L, et al. Beta-decay studies of the neutron-rich 18,21N isotopes. Sci China-Phys Mech Astron, 2011, 54: s53–s60
Lin C J, Xu X X, Jia H M, et al. Experimental research into the two-proton emissions from 17,18Ne, 28P and 28,29S. Sci China-Phys Mech Astron, 2011, 54: s73–s80
Singh B, Rodriguez J L, Wong S S M, et al. Review of log ft values in β decay. Nucl Data Sheets, 1998, 84: 487–563
Yiou F, Raisbeck G M. Half-life of 10Be. Phys Rev Lett, 1972, 29: 372–375
Millener D J, Alburger D E, Warburton E K, et al. Decay scheme of 11Be. Phys Rev C, 1982, 26: 1167–1185
Alburger D E, Millener D J. Beta decay of 15C. Phys Rev C, 1979, 20: 1891–1901
Heath A R, Garvey G T. Measurement of the 16N (2−, g.s.)→16O(0+, g.s.)+e−+ν− e beta-decay branching ratio. Phys Rev C, 1985, 31: 2190–2198
Audi G, Kondev F G, Wang M, et al. The Nubase2012 evaluation of nuclear properties. Chin Phys C, 2012, 36: 1157–1286
Li Z H, Lou J L, Ye Y L, et al. Experimental study of the β-delayed neutron decay of 21N. Phys Rev C, 2009, 80: 054315
Raabe R, Andreyev A, Borge M J G, et al. β-delayed deuteron emission from 11Li: Decay of the halo. Phys Rev Lett, 2008, 101: 212501
Qian Y B, Ren Z Z. Model-independent trend of alpha-preformation probability. Sci China-Phys Mech Astron, 2013, 56(8): 1520–1524
Warburton E K, Brown B A. Effective interactions for the 0p1s0d nuclear shell-model space. Phys Rev C, 1992, 46: 923–944
Brown B A, Rae W D M, McDonald E, et al. NuShellX@MSU, 2013 (www.nscl.msu.edu/\verb“∼”brown/resources/resources.html)
Rae W D M. NuShellX, 2008 (www.garsington.eclipse.co.uk)
Wildenthal B H, Curtin M S, Brown B A. Predicted features of the beta decay of neutron-rich sd-shell nuclei. Phys Rev C, 1983, 28: 1343–1366
Wilkinson D H, Macefield B E F. A parametrization of the phase space factor for allowed β-decay. Nucl Phys A, 1974, 232: 58–92
Gove N B, Martin M J. Log-f tables for beta decay. At Data Nucl Data Tables, 1971, 10: 205–219
Martin M J, Blichert-toft P H. Radioactive atoms: Auger-electron, α-, β, ψ-, and X-ray data. At Data Nucl Data Tables, 1970, 8: 1–198
Li H T, Ren Z Z. Shell model calculations for the β −-decays of Z=9–13 nuclei. J Phys G-Nucl Part Phys, 2013, 40: 105110
Caurier E, Martínez-Pinedo G, Nowacki F, et al. Full 0 ħ ω shell model calculation of the binding energies of the 1f7/2 nuclei. Phys Rev C, 1999, 59: 2033–2039
TUNL Nuclear Data Evaluation (www.tunl.duke.edu/nucldata/)
Martínez-Pinedo G, Poves A, Caurier E, et al. Effective g A in the pf shell. Phys Rev C, 1996, 53: R2602–R2605
Wang M, Audi G, Wapstra A H, et al. The Ame2012 atomic mass evaluation. Chin Phys C, 2012, 36: 1603–2014
Zhi Q, Caurier E, Cuenca-García, et al. Shell-model half-lives including first-forbidden contributions for r-process waiting-point nuclei. Phys Rev C, 2013, 87: 025803
Talmi I, Unna I. Order of levels in the shell model and spin of 11Be. Phys Rev Lett, 1960, 4: 469–470
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Li, H., Ren, Z. Shell model calculations for the allowed Gamow-Teller β-decays of light nuclei. Sci. China Phys. Mech. Astron. 57, 1005–1012 (2014). https://doi.org/10.1007/s11433-014-5456-7
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DOI: https://doi.org/10.1007/s11433-014-5456-7