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Search: Author = I.K.Alnamlah

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2021AL30      Phys.Rev. C 104, 064311 (2021)

I.K.Alnamlah, E.A.Coello Perez, D.R.Phillips

Effective field theory approach to rotational bands in odd-mass nuclei

NUCLEAR STRUCTURE ⁹⁹Tc, ¹⁵⁹Dy, ^167,169Er, ^167,169Tm, ¹⁸³W, ²³⁵U, ²³⁹Pu; calculated rotational bandhead energies, J, π, energy scales, relative correction to energies in bands at each order, low-energy constants (LECs) at each order for K=1/2 bands, for K=3/2 bands in ¹⁶⁷Er and ¹⁵⁹Dy, for K=5/2, 7/2 bands in ¹⁶⁷Er and ²³⁵U. ¹⁶⁹Er, ^167,169Tm, ²³⁹Pu, ¹⁵⁹Dy, ⁹⁹Tc, ¹⁸³W; calculated energies and energy residuals for ground-state and excited-state rotational bands at LO, NLO, N²LO, N³LO, and N⁴LO orders as follows: 1/2- g.s. band up to 35/2- for ¹⁶⁹Er, 1/2+ g.s. band up to 31/2+ for ¹⁶⁷Tm, 1/2+ excited band up to 19/2+ for ¹⁶⁹Tm, 1/2+ g.s. band up to 53/2+ for ²³⁹Pu, 3/2- g.s. band up to 29/2- for ¹⁵⁹Dy; 1/2- excited band up to 31/2- in ⁹⁹Tc, and 1/2- g.s. band up to 35/2 in ¹⁸³W. ¹⁶⁷Er, ²³⁵U; calculated energy residuals for 1/2-, 5/2-, and 7/2+ rotational bands in ¹⁶⁷Er, and for the 1/2+, 5/2+, and 7/2- rotational bands in ²³⁵U at LO, NLO, N²LO, N³LO, and N⁴LO orders; extracted breakdown scale in different systems. Extension of effective field theory up to fourth order in the angular velocity to describe rotational bands in even-even nuclei to the odd-mass case, and possibility of application of this EFT to halo nuclei in which low-lying rotational states of the core play a prominent role, such as in ¹¹Be and ³¹Ne nuclei. Comparison with experimental band structures, data taken from ENSDF database and publications in Nuclear Data Sheets.

doi: 10.1103/PhysRevC.104.064311
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