Angular velocity expansions of nuclear rotational energies

Saethre, Ø.; Hjorth, S.A.; Johnson, A.; Jägare, S.; Ryde, H.; Szymański, Z.

doi:10.1016/0375-9474(73)90857-9

Cited by 88 publications

(23 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results of these calculations showing the parameters 4~/h2=2Jo/h ~ and fl/h 4 as well as the employed values of the Coriolis attenuation factor R are summarized in Table 3. For the purpose of simplifying comparisons the values obtained in the fits to the positive-parity band and the values found in the even isotopes [14] are also entered in this table.…”

Section: Details and Results Of The Calculations For The 11/2-[505] Bandmentioning

confidence: 99%

See 1 more Smart Citation

Properties of rotational excitations in odd mass Dy isotopes

Hjorth¹,

Klamra²

1977

Z Physik A

View full text Add to dashboard Cite

The data on high-spin rotational states in ~55Dy, ~57Dy, 159Dy and 161Dy are discussed within a model where a particle is coupled to a rotor with a variable moment of inertia. In this model there is often a definite improvement in the quality and stability of the fits to levels in the positive-parity band below spin 25/2 when the moment of inertia of the core exhibits a linear dependence on the square of the rotational angular velocity as compared to the situation where a linear dependence on I(I + 1) is assumed. In the improved fits the empirical matrix elements of the Coriolis force exhibit a smooth and significant increase with decreasing moment of inertia. The rotational energies above spin 25/2 in the positive-parity band and above 19/2 in the 11/2-[-505] band are understood within the present theoretical model if the moment of inertia increases more rapidly than the linear trend established at lower spin. In the 11/2-[505] band this increase follows rather closely the behaviour in the even nuclei whereas in the positive-parity band the curves are quite flat even beyond the point where the moment of inertia in the even nuclei exhibits a discontinuous or back-bending behaviour. The significance of this observation is discussed in the light of existing theories on nuclear moments of inertia.

show abstract

Section: Details and Results Of The Calculations For The 11/2-[505] Bandmentioning

confidence: 99%

“…The VMI model is mathematically equivalent to a two-parameter expansion of the rotational energy in terms of the angular velocity [13,14].…”

Section: The Experimental Datamentioning

confidence: 99%

Properties of rotational excitations in odd mass Dy isotopes

Hjorth¹,

Klamra²

1977

Z Physik A

View full text Add to dashboard Cite

show abstract

“…We have fitted the m e expansion for /~rot to the experimental data using the procedure reported by Saethre et al [7] and replacing l/~+1) by g, -2.56 (13) b 0.48 (4) [83 [9] [lo]…”

Section: Experimental Methods and Resultsmentioning

confidence: 99%

Investigation of the ground state rotational bands in233U and239Pu in the (?, 3n) reactions

et al. 1983

View full text Add to dashboard Cite

The ground state rotational bands in 233U and 239pu were investigated in (e, 3n) reactions. Conversion electrons were measured with an iron free orange spectrometer in order to suppress the background from fission. Levels up to U=33/2 + of the K=5/2 band in 233U and U=31/2 + of the K=1/2 band in 239pu were identified in e--y coincidence measurements. The level energies of both rotational bands can be well described up to the highest observed spins by a two-parameter angular velocity expansion. The electromagnetic properties of the K = 1/2 band in 239pu are discussed.

show abstract

“…The g.s. and s-bands in 164Er and 166yb are known over a wide range of spins, below and above the backbending [25][26][27][29][30][31]. In the case of ~68Hf, the experimental data, which have partly been obtained by us [34], include the yrast states up to 20 + and the yrare 14 + level; four members of the s-band with spins 14 + , 16 + , 18 + and 20 + are known above the backbending.…”

Section: Rotation Alignment In the Even-even N = 96 Isotonesmentioning

confidence: 99%

“…5), we suggest possible reasons why backbending is delaYed for the ~h9/2 proton bands in the odd -Z, N=96 isotones 16STm and 167Lu. The experimental data on the energy levels of the N =96 and 97 isotones which are used in the present paper are extracted from the following references: 164Er [25][26][27]; a65Er [28]; 165Tm [18]; 166yb [29][30][31]; 167yb [32]; 167Lu [19]; 16SHf [29,33,34]; 169Hf [13]; 17~ [35]. The lifetimes of members of the g.s.…”

Section: Introductionmentioning

confidence: 99%

Backbending in theN=96 isotones

Michel¹,

Vervier²

1981

Z Physik A

View full text Add to dashboard Cite

The backbending in the even-even, N =96 isotones can be quantitatively accounted for by the rotation-alignment of the spins of neutrons in i 13/2 orbits, as shown by comparing the aligned angular momentum and relative Routhian for the s-bands in these isotones and for the i13/2 bands in the corresponding isotopes with N=97. The influence of protons on this backbending situation is shown to be indirect, acting through a change of the nuclear deformation, which yields a change of the moment of inertia of the g.s. band and of the non-rigid character of the rotation. The experimental data on the N =96 and 97 isotones are in reasonable agreement with cranking model calculations. Possible reasons for the inhibition of backbending in the h 9/2 proton bands in the odd-Z, N = 96 isotones, all related to a change of deformation, are presented.

show abstract

Angular velocity expansions of nuclear rotational energies

Cited by 88 publications

References 56 publications

Properties of rotational excitations in odd mass Dy isotopes

Properties of rotational excitations in odd mass Dy isotopes

Investigation of the ground state rotational bands in233U and239Pu in the (?, 3n) reactions

Backbending in theN=96 isotones

Contact Info

Product

Resources

About