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The spin and orbital contributions to magnetic dipole transitions

Arun Kingan

Department of Physics and Astronomy, Rutgers University, Piscataway, 08854 New Jersey, USA

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Michael Quinonez

Department of Physics and Astronomy, Rutgers University, Piscataway, 08854 New Jersey, USA

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Xiaofei Yu

Department of Physics and Astronomy, Rutgers University, Piscataway, 08854 New Jersey, USA

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, and

Larry Zamick

Department of Physics and Astronomy, Rutgers University, Piscataway, 08854 New Jersey, USA

E-mail Address: zamick@physics.rutgers.edu

Corresponding author.

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https://doi.org/10.1142/S0218301318500908Cited by:6 (Source: Crossref)

Abstract

In previous works, we examined the systematics of magnetic dipole transitions in a single j shell. We here extend the study to large space calculations. We consider the nuclei $^{44}$ $^{44}$ Ti, $^{46}$ $^{46}$ Ti and $^{48}$ $^{48}$ Cr. Of particular interest are the contributions to $B (M 1)$ $B (M 1)$ of the spin and orbital parts of the magnetic dipole operator. Whereas usual scissors mode analyses have as an initial state the $J = 0^{+}$ $J = 0^{+}$ ground state (of an even-even nucleus), we here start with the lowest $J = 1^{+}, T = 1$ $J = 1^{+}, T = 1$ state. This enables us to reach many more states, e.g., $J = 2, T = 0,$ $J = 2, T = 0,$ 1, and 2 and thus get a better picture of the collectivity of this state.

Keywords:

Spin and orbit

PACS: 21.60.Cs

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References

1. M. Harper and L. Zamick, Phys. Rev. C 91 (2015) 014304. Crossref, Web of Science, ADS, Google Scholar
2. M. Harper and L. Zamick, Phys. Rev. C 91 (2015) 054310. Crossref, Web of Science, ADS, Google Scholar
3. R. Garcia and L. Zamick, Phys. Rev. C 92 (2015) 034322. Crossref, Web of Science, ADS, Google Scholar
4. B. F. Bayman, J. D. McCullen and L. Zamick, Phys. Rev. Lett. 11 (1963) 215. Crossref, Web of Science, ADS, Google Scholar
5. J. D. McCullen, B. F. Bayman and L. Zamick, Phys. Rev. 134 (1964) B515. Crossref, Web of Science, ADS, Google Scholar
6. J. N. Ginocchio and J. B. French, Phys. Lett. 7 (1963) 137. Crossref, Web of Science, ADS, Google Scholar
7. A. Escuderos, L. Zamick and B. F. Bayman, arXiv:nucl-th/0506050. Google Scholar
8. B. A. Brown and W. D. M. Rae, Nucl. Data Sheets 120 (2014) 115. Crossref, Web of Science, ADS, Google Scholar
9. M. Honma, T. Otsuka, B. A. Brown and T. Mizusaki, Phys. Rev. C 65 2002 061301 (R); Phys. Rev. C 69 (2004) 034335. Google Scholar
10. K. Heyde, P. von Neumann-Cosel and A. Richter, Rev. Mod. Phys. 82 (2010) 2365. Crossref, Web of Science, ADS, Google Scholar
11. D. Bohle, A. Richter, W. Steffen, A. E. Dieperink, N. Iudice, L. Palumbo and F. O. Scholten, Phys. Lett. B 137 (1983) 27. Crossref, Web of Science, ADS, Google Scholar
12. T. Suzuki and D. J. Rowe, Nucl. Phys. A 289 (1977) 461. Crossref, Web of Science, ADS, Google Scholar
13. N. LoIudice and F. Palumbo, Phys. Rev. Lett. 41 (1978) 1532; Nucl. Phys. A 236 (1979) 193. Google Scholar
14. A. E. L. Dieperink, Prog. Part. Nucl. Phys. 9 (1983) 121. Crossref, ADS, Google Scholar
15. I. Hamamoto and S. Aberg, Phys. Lett. B 145 (1984) 163. Crossref, Web of Science, ADS, Google Scholar
16. F. Iachello, Nucl. Phys. A 358 (1981) 89. Phys. Rev. Lett. 53 (1984) 1427. Google Scholar
17. L. Zamick Phys. Rev. C 31 (1985) 1955. Crossref, Web of Science, ADS, Google Scholar
18. A. E. L. Dieperink and E. Moya De Guerra, Phys. Lett. B 189 (1987) 267. Crossref, Web of Science, ADS, Google Scholar
19. E. Moya de Guerra, P. Sarriguren and J. M. Udias, On the scissors type mode in $^{46}$ $^{46}$ Ti and lighter nuclei, Phys. Lett. B 196 (1987) 409. Crossref, Web of Science, ADS, Google Scholar
20. E. Lipparini and S. Stringari, Phys. Rep. 175 (1989) 103. Crossref, Web of Science, ADS, Google Scholar
21. E. Lipparini and S. Stringari, Phys. Rev. Lett. 63 (1989) 570. Crossref, Web of Science, ADS, Google Scholar
22. A. Poves, J. Retamosa and E. Moya de Guerra, Phys. Rev. C 39 (1989) 1639. Crossref, Web of Science, ADS, Google Scholar
23. F. Iachello and P. Van Isacker, The Interacting Boson-Fermion Model (Cambridge University, New York, 1991). Crossref, Google Scholar
24. E. Moya de Guerra and L. Zamick, Phys. Rev. C 47 (1993) 2604. Crossref, Web of Science, ADS, Google Scholar
25. R. Nojarov, A. Faessler and M. Dingfelder, Phys. Rev. C 51 (1995) 2449. Crossref, Web of Science, ADS, Google Scholar
26. N. LoIudice, Nucl. Phys. A 605 (1996) 61. Crossref, Web of Science, ADS, Google Scholar
27. J. Beller et al., Phys. Rev. Lett. 111 (2013) 172501. Crossref, Web of Science, ADS, Google Scholar
28. R. Schwengner, S. Frauendorf and B. A. Brown, Phys. Rev. Lett. 118 (2017) 092502. Crossref, Web of Science, ADS, Google Scholar