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Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2

Year 2015, Volume: 36 Issue: 2, 24 - 36, 08.01.2015

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 study, the angular part of the beta (β) moment matrix elements of the ,  and  first forbidden beta decay transition have been solved directly without any assumption. In the calculation of the nuclear matrix elements have been considered the contribution coming from the spin-orbit term in the shell model potential.

References

  • -
  • Borzov I.N., Beta-decay rates, Nucl.Phys.A 777, 645-675 (2006).
  • Borzov I.N., Gamow-Teller and first-forbidden decays near the r-process paths at N=50, 82, and
  • 126, Phys.Rev.C 67, 025802 (2003).
  • Borzov I.N., The first-forbidden decays near the r-process paths at N=50, 82, 126, Nucl.Phys.A 718, 635c-637c (2003).
  • Schopper H.F., Weak Interactions and Nuclear Beta Decay, North-Holland, Amsterdam, (1996).
  • Ejiri Hirayasu, Double Beta Decays and Neutrino Masses, J. Phys. Soc. Jpn. 74, 2101-2127 (2005).
  • Barbero C. et al., Competition between standard and exotic double beta decays, Phys.Lett.B 436, 49-54 (1998).
  • Civitarese O., Suhonen J., Contributions of unique first-forbidden transitions to two-neutrino double-β-decay half-lives, Nucl.Phys.A 607, 152-162 (1996).
  • Cakmak N. et al., The investigation of 0+ 0- β decay in some spherical nuclei, Pramana Journal of Physics, 74 (4), 541-553 (2010).
  • Bohr A., Mottelson B.R., Nuclear Structure, Vol.I (1969).
  • Çaylı İsmail, Calculation of nuclear matrix elements for λπ =1- first forbidden beta transitions, Master of Thesis (in Turkish), Karabuk University, Karabük, Turkey (2012).
  • Varshalovich D.A, Moskalev A.N. and Khersonskii V.K., Quantum Theory of Angular Momentum, Word Scientific (1988).
Year 2015, Volume: 36 Issue: 2, 24 - 36, 08.01.2015

Abstract

References

  • -
  • Borzov I.N., Beta-decay rates, Nucl.Phys.A 777, 645-675 (2006).
  • Borzov I.N., Gamow-Teller and first-forbidden decays near the r-process paths at N=50, 82, and
  • 126, Phys.Rev.C 67, 025802 (2003).
  • Borzov I.N., The first-forbidden decays near the r-process paths at N=50, 82, 126, Nucl.Phys.A 718, 635c-637c (2003).
  • Schopper H.F., Weak Interactions and Nuclear Beta Decay, North-Holland, Amsterdam, (1996).
  • Ejiri Hirayasu, Double Beta Decays and Neutrino Masses, J. Phys. Soc. Jpn. 74, 2101-2127 (2005).
  • Barbero C. et al., Competition between standard and exotic double beta decays, Phys.Lett.B 436, 49-54 (1998).
  • Civitarese O., Suhonen J., Contributions of unique first-forbidden transitions to two-neutrino double-β-decay half-lives, Nucl.Phys.A 607, 152-162 (1996).
  • Cakmak N. et al., The investigation of 0+ 0- β decay in some spherical nuclei, Pramana Journal of Physics, 74 (4), 541-553 (2010).
  • Bohr A., Mottelson B.R., Nuclear Structure, Vol.I (1969).
  • Çaylı İsmail, Calculation of nuclear matrix elements for λπ =1- first forbidden beta transitions, Master of Thesis (in Turkish), Karabuk University, Karabük, Turkey (2012).
  • Varshalovich D.A, Moskalev A.N. and Khersonskii V.K., Quantum Theory of Angular Momentum, Word Scientific (1988).
There are 13 citations in total.

Details

Primary Language English
Journal Section Editorial
Authors

Necla Çakmak

İsmail Çaylı This is me

Publication Date January 8, 2015
Published in Issue Year 2015 Volume: 36 Issue: 2

Cite

APA Çakmak, N., & Çaylı, İ. (2015). Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 36(2), 24-36.
AMA Çakmak N, Çaylı İ. Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. March 2015;36(2):24-36.
Chicago Çakmak, Necla, and İsmail Çaylı. “Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36, no. 2 (March 2015): 24-36.
EndNote Çakmak N, Çaylı İ (March 1, 2015) Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36 2 24–36.
IEEE N. Çakmak and İ. Çaylı, “Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 2, pp. 24–36, 2015.
ISNAD Çakmak, Necla - Çaylı, İsmail. “Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36/2 (March 2015), 24-36.
JAMA Çakmak N, Çaylı İ. Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36:24–36.
MLA Çakmak, Necla and İsmail Çaylı. “Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 2, 2015, pp. 24-36.
Vancouver Çakmak N, Çaylı İ. Solution of Angular Parts of the Forbidden Beta Moment Matrix Elements for Rank 0, 1 and 2. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36(2):24-36.