<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ft</mml:mi></mml:math>Values of Pure Fermi Beta Decays and the Magnitude of the Vector Coupling Constant

Freeman, J.M.; Jenkin, J.G.; Murray, G.; Burcham, W.E.

doi:10.1103/physrevlett.16.959

Cited by 59 publications

(10 citation statements)

References 14 publications

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“…where the coupling coefficient is associated with SU ( This selection rule has been verified to hold approximately in light self-conjugate nuclei [13]. Deviations occur because of higher-order terms in the E1 operator but also, and more importantly, because isospin is not an exactly conserved quantum number.…”

Section: B Isospin Selection Rulesmentioning

confidence: 78%

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Symmetries in nuclei

Isacker¹

2011

AIP Conference Proceedings

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The use of dynamical symmetries or spectrum generating algebras for the solution of the nuclear many-body problem is reviewed. General notions of symmetry and dynamical symmetry in quantum mechanics are introduced and illustrated with simple examples such as the SO(4) symmetry of the hydrogen atom and the isospin symmetry in nuclei. Two nuclear models, the shell model and the interacting boson model, are reviewed with particular emphasis on their use of group-theoretical techniques.

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Section: B Isospin Selection Rulesmentioning

confidence: 78%

“…As an example consider the T = 3 2 multiplet consisting of isobaric analogue states in 13 B, 13 C, 13 N and 13 O. Figure 5 shows the binding energies of the nuclei 13 data points are fitted with three parameters. The quality of fits such as the one in Fig.…”

Section: A the Isobaric Multiplet Mass Equationmentioning

confidence: 99%

Symmetries in nuclei

Isacker¹

2011

AIP Conference Proceedings

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“…Self-conjugate nuclei have M T i = M T f = 0 and exhibit as a consequence a simple selection rule: E1 transitions are forbidden between levels with the same isospin T i = T f = T because of the vanishing Clebsch-Gordan coefficient, T 0 10|T 0 = 0. This selection rule has been verified to hold approximately in light self-conjugate nuclei [13]. Deviations occur because of higher-order terms in the E1 operator but also, and more importantly, because isospin is not an exactly conserved quantum number.…”

Section: Isospin Selection Rulesmentioning

confidence: 75%

“…As an example consider the T = 3 2 multiplet consisting of isobaric analogue states in 13 B, 13 C, 13 N and 13 O. Figure 5 shows the binding energies of the nuclei 13 15.07 MeV, respectively; these energies are substracted from the ground-state binding energies of 13 C and 13 N to give the energies plotted in Fig. 5.…”

Section: The Isobaric Multiplet Mass Equationmentioning

confidence: 99%

Symmetries in nuclei

Isacker¹,

Bijker²,

Castaños³

et al. 2011

AIP Conference Proceedings

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A new class of nuclear isomeric states: Mixed symmetry isomeric states in nuclei AIP Conf.Abstract. The use of dynamical symmetries or spectrum generating algebras for the solution of the nuclear many-body problem is reviewed. General notions of symmetry and dynamical symmetry in quantum mechanics are introduced and illustrated with simple examples such as the SO(4) symmetry of the hydrogen atom and the isospin symmetry in nuclei. Two nuclear models, the shell model and the interacting boson model, are reviewed with particular emphasis on their use of group-theoretical techniques.

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“…Sidenius, and Satchler, 2 the Ca 48 (d, p) reaction at JE*=18.MeV by Peterson, 3 and the Ca 42 (He 3 , a)Ca 41 reaction by Lynen, Bock ; Santo, and Strock. 4 Earlier work on the Ca 44 (^, ^)Ca 43 and Ca 48 (A^)Ca 47 was reported by Conlon, Bayman, and Kashy.…”

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confidence: 95%

(d, t) and (d,He3) Reactions on

Yntema

1969

Phys. Rev.

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He 3 )K 42 , and Ca 44 (d, He 3 )K 43 reactions have been investigated at an incident deuteron energy of 22 MeV. The angular distributions have been compared with distorted-wave calculations and the spectroscopic strength has been extracted. The larger fraction of the &m strength was found in the f + states at 2.02, 0.99, 1.89, and 2.60 MeV in Ca 41 , Ca 43 , Ca 45 , and Ca 47 , respectively. Strong s-wave transitions were observed to levels at 1.96, 2.40, and 2.60 MeV in Ca 43 , Ca 45 , and Ca 47 , respectively. The % + hole state at 2.67 MeV in Ca 41 was found to be less pure than the other strong s-and d-hole states. Similarly, a pronounced fractionation of the s-hole configuration among the levels at 0.982, 1.273, 1.595, and 2.73 MeV was found in K 41 -in contrast with the other even-parity hole states in K 41 and K 43 (including the J + level at 0.56 MeV), which are rather pure. This splitting is attributed in part to the interaction of another J + state with the s-proton hole state. Some 2ps/2 admixture was observed in each of the neutron pickup reactions and a 2pi/2 admixture was seen in Ca 48 . Comparison between the relative intensities of the transitions to the f~ levels in Ca 41 and Ca 43 and those of the (d t p) reactions to those levels suggest the admixture of core-excited configurations in the ground state of Ca 42 and Ca 44 . The upper limit for the /7/2-proton admixture in the ground state of Ca 42 was found to be C 2 S<0.4. The second 0 + state in Ca 42 is excited with about 10% of the strength of the first 0 + state. The strength of the transitions to the 0 + and 2 + states together with those of the 4 + and 6 + states is significantly smaller than expected from simple shell-model considerations and suggests that other levels with (fm) 2 configurations exist in Ca 42 at higher energies. The /=0 transitions to states in Ca 42 rarely mix with the 1 -2 transitions. There is a fairly good correspondence between the $-hole states and the 3" states. Application of the sum rule and comparison with the other reactions suggest that the total spectroscopic factor for su 2 , T-l pickup is considerably smaller than would be expected from a closed 2s shell. The four lowest levels in K 42 have / = 2 transitions and the strengths are in agreement with a 2"~, 3", 4", 5~ sequence. In addition, s-proton hole states in K 42 were observed at 1.2, 2.01, and 2.13 MeV. A possible d 5 /2-hole state was found in K 41 at an excitation energy of 3.566 MeV.

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ftValues of Pure Fermi Beta Decays and the Magnitude of the Vector Coupling Constant

Cited by 59 publications

References 14 publications

Symmetries in nuclei

Symmetries in nuclei

Symmetries in nuclei

(d, t) and (d,He3) Reactions on

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