Abstract
In this study, we assess the accuracy of theoretical shell model in calculating the excited states in odd-A magnesium isotopes with neutron numbers between 9 and 15, on the basis of recently reported experimental results. The assessments rely on the calculations of the energy levels, reduced electric quadrupole transition probabilities, reduced magnetic dipole transition probabilities, and multipole mixing ratio. The theoretical results are based on the new sd-shell Universal Hamiltonian (USDA) and the realistic nucleon-nucleon interaction Bonn A Hamiltonian (SDBA). We show the area in which the two Hamiltonians are effective and demonstrate the possibility of confirming known states and suggesting new states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C.A. Diget et al., Phys. Rev. C 77, 064309 (2008).
A.L. Sallaska et al., Phys. Rev. C 83, 034611 (2011).
A.L. Sallaska et al., Phys. Rev. Lett. 105, 152501 (2010).
L. Erikson et al., Phys. Rev. C 81, 045808 (2010).
D.W. Visser et al., Phys. Rev. C 78, 028802 (2008).
H. Comisel et al., Phys. Rev. C 75, 045807 (2007).
R. Longland et al., Phys. Rev. C 85, 065809 (2012).
C. Massimi et al., Phys. Rev. C 85, 044615 (2012).
R. Longland et al., Phys. Rev. C 80, 055803 (2009).
O. Straniero et al., Astrophys. J. 763, 100 (2013).
A.S.J. Murphy et al., Phys. Rev. C 73, 034320 (2006).
J. Krämer et al., Phys. Lett. B 678, 465 (2009).
B.A. Brown et al., Phys. Rev. C 74, 034315 (2006).
M. Hjorth-Jensen et al., Phys. Rep. 261, 125 (1995).
B.A. Brown, OXBASH for Windows, MSUNSCL Report Number 1289 (2004).
J.B. McGrory, B.H. Wildenthal, Annu. Rev. Nucl. Part. Sci. 30, 383 (1980).
B.A. Brown et al., Phys. Rev. C 32, 1127 (1985).
W.A. Richter et al., Phys. Rev. C 78, 064302 (2008).
R.B. Firestone, Nucl. Data Sheets 103, 269 (2004).
R.B. Firestone, Nucl. Data Sheets 108, 1 (2007).
D.G. Jenkins et al., Phys. Rev. C 87, 064301 (2013).
R.B. Firestone, Nucl. Data Sheets 110, 1691 (2009).
E.S. Paul et al., J. Phys. G: Nucl. Part. Phys. 17, 605 (1991).
M. Shamsuzzoha Basunia, Nucl. Data Sheets 112, 1875 (2011).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Al-Sammarrae, A.A., Sharrad, F.I., Aziz, A.A. et al. Application of USDA and SDBA Hamiltonians in calculating the excited states of odd-A magnesium isotopes. Eur. Phys. J. Plus 129, 125 (2014). https://doi.org/10.1140/epjp/i2014-14125-0
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2014-14125-0