New Mass Value for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Li</mml:mi><mml:mprescripts /><mml:none /><mml:mn>7</mml:mn></mml:mmultiscripts></mml:math>

Nagy, Szilvia; Fritioff, T.; Suhonen, Markus; Schuch, R.; Blaum, Klaus; Björkhage, Mikael; Bergström, I.

doi:10.1103/physrevlett.96.163004

Cited by 50 publications

(49 citation statements)

References 30 publications

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“…The 7 Be mass value in the 2003 Atomic Mass Evaluation (AME03) was based solely on the Q-value of the reaction 7 Li(p,n) 7 Be [35] which was not the case for the 1995 evaluation [34]. The 9 C mass presented in table I is also based on this reaction, but uses the precise 7 Li mass value measured using the SMILETRAP Penning trap spectrometer [36]. All the excitation energies presented in [22] together with the 17 076(4) keV value from ENSDF.…”

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confidence: 99%

Elucidation of the AnomalousA=9Isospin Quartet Behavior

et al. 2012

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Recent high-precision mass measurements of 9 Li and 9 Be, performed with the TITAN Penning trap at the TRIUMF ISAC facility, are analyzed in light of state-of-the-art shell model calculations. We find an explanation for the anomalous Isobaric Mass Multiplet Equation (IMME) behaviour for the two A = 9 quartets. The presence of a cubic d = 6.3(17) keV term for the J π = 3/2 − quartet and the vanishing cubic term for the excited J π = 1/2 − multiplet depend upon the presence of a nearby T = 1/2 state in 9 B and 9 Be that induces isospin mixing. This is contrary to previous hypotheses involving purely Coulomb and charge-dependent effects. T = 1/2 states have been observed near the calculated energy, above the T = 3/2 state. However an experimental confirmation of their J π is needed.PACS numbers: 21.10. Dr,21.10.Hw,27.20.+n Atomic nuclei are described by their binding energy and three quantum numbers: the total angular momentum J, parity π, and isospin T . This framework allows one to identify, each of the ∼ 3000 observed nuclei [1] unambiguously. The isospin quantity is analogous to spin and was first introduced by Heisenberg [2] to describe the charge-independence of the nuclear force. Within the isospin formalism, neutrons (n) and protons (p) are nucleons of isospin T = 1/2 but distinguished by different z-projections T z (n) = 1/2 and T z (p) = -1/2 [2,3]. Nuclei with the same mass number A, total angular momentum and parity form multiplets where the individual members have a projection T z = (N − Z)/2. Assuming isospin is a good quantum number, members of an isobaric multiplet have identical properties. However, Weinberg and Treiman [4] noted that the mass excess ∆ (which is a measure of the nuclear binding energy and defined as the difference between the atomic mass and the atomic mass number) of such nuclides were not identical, but were rather laying along a parabola:where a, b, c are coefficients that depend on all quantum numbers except T z . This so-called isobaric multiplet mass equation (IMME) has proven to be a powerful tool to predict unknown masses. For instance, it is used to obtain masses of nuclei along the rapid proton capture path, where most of the masses are not well known [5] or to provide detailed mass values, which are experimentally inaccessible due to half-life and productions constraints [6]. Recently, the precise mass measurement of 12 Be [7] using the TITAN (TRIUMF Ion Traps for Atomic and Nuclear science) Penning trap mass spectrometer [8,9] has been used as a solid anchor point together with the IMME to address the ambiguous spin assignment of T = 2 states in 12 C and 12 Be.Several tests of the IMME were performed and for most cases, it has followed the original quadratic behaviour [10]. However, in some cases, large deviations were discovered and the incorporation of cubic d(A, T )T [17,18] quintets. The unveiling of the non-quadratic behaviour of the A = 32 and 33 multiplets was only possible due to the precise and accurate mass measurement of some of its members, at the δm/m ∼...

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Elucidation of the AnomalousA=9Isospin Quartet Behavior

et al. 2012

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“…, the electrostatic potential inside the trapping volume can be obtained by integration of equation (12). The main features of equation (12) are as follows.…”

Section: Properties Of the Solutionmentioning

confidence: 99%

“…Their generalization to situations where axial symmetry is broken and/or where the shape of the electrodes is non-cylindrical is straightforward as long as a 'quasi'-Green's function as introduced in equation (4) can be constructed. In order to illustrate the power of the presented method, the complete calculation of the toroidal hybrid trap is performed with the help of equation (12) in the next section. The properties of such a trap will be discussed in detail in section 4.…”

Section: Properties Of the Solutionmentioning

confidence: 99%

“…Moreover, Penning traps have been used to measure e.g. the antiproton's mass [9], masses of stable particles, atoms [10]- [12], and short-lived radioactive ions [13]- [16]. Furthermore, they 3 have been implemented in molecular electric dipole moment experiments [17], antihydrogen production [18,19] or the most accurate test of the CPT symmetry in the lepton sector [20].…”

Section: Introductionmentioning

confidence: 99%

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Calculation of electrostatic fields using quasi-Green's functions: application to the hybrid Penning trap

et al. 2008

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“…7 Li is important for the study of solar neutrinos and for determining their masses [19]. There is currently an interesting discrepancy between the recently obtained mass measurement [20] and the value in the Atomic Mass Evaluation [21] (AME2003), with the more recent value from Ref. [20] being more precise.…”

Section: Introductionmentioning

confidence: 99%

Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states

Wundt¹

2010

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision spectroscopic experiments. The dominant nuclear effect that shifts transition energies among Rydberg states therefore is due to the nuclear mass. As a consequence, spectroscopic measurements of Rydberg transitions can be used in order to precisely deduce nuclear masses. A possible application of this approach to the hydrogen and deuterium, and hydrogen-like lithium and carbon is explored in detail. In order to complete the analysis, numerical and analytic calculations of the quantum electrodynamic (QED) self-energy remainder function for states with principal quantum number n = 5, . . . , 8 and with angular momentum ℓ = n − 1 and ℓ = n − 2 are described (j = ℓ ± 1 2 ).

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New Mass Value forLi7

Cited by 50 publications

References 30 publications

Elucidation of the AnomalousA=9Isospin Quartet Behavior

Elucidation of the AnomalousA=9Isospin Quartet Behavior

Calculation of electrostatic fields using quasi-Green's functions: application to the hybrid Penning trap

Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states

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