Nuclear data sheets for A = 207

Schmorak, M.R.

doi:10.1016/s0090-3752(77)80018-5

Cited by 42 publications

(10 citation statements)

References 188 publications

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“…In addition the 7,368 keV line of z~ was recorded as a background line in another study [8]. The sensitivity of the current measurement for gammarays following thermal capture in Pb was no higher than for previous measurements [5,6], except for 2~ and thus the Pb lines could be identified from previous (n, 7) studies. For the case of 2~ no thermal neutron capture work has been reported.…”

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confidence: 60%

Neutron binding and excitation energies of some Pb isotopes

et al. 1983

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confidence: 60%

Neutron binding and excitation energies of some Pb isotopes

et al. 1983

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“…The states of 2~ populated via the (t, e) reaction have been found to be quite pure single particle shell model states. This view is confirmed by the absence of any transfer to these orbits in stripping reaction studies [1]. Similarly few low lying states of 2~ exhaust almost all the spectroscopic strength [2].…”

mentioning

confidence: 71%

“…In Table 1, we present our calculated energy eigenvalues of eight single particle states of 2~ (proton) along with their experimental values [1,2]. For calculation of the orbit radius of the valence nucleons one should use the experimental separation energy.…”

Section: Pacs: 2110ftmentioning

confidence: 99%

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The effect of average one body potential on the orbit radii measurements in the lead region

Bhattacharya

1987

Z. Physik A - Atomic Nuclei

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A barycentric potential of identical central and spin-orbit geometry has been used for finding out the orbit radii of valence proton states in 2~ and 2~ Excellent agreement has been found between the calculated values and measured values from sub-Coulomb nuclear transfer reaction studies. Proton densities at specific points also show the right trend. PACS: 21.10ftMagnetic electron scattering and sub-Coulomb nucleon transfer reaction data provide us information regarding the details of the nuclear surface. Critical assessment of the valence nucleon orbit radii measurements reveal that transfer reaction cross sections depend sensitively on the magnitude of the tail of the bound state wave function of the transferred nucleon. The rms radius can be calculated in a model dependent way after specifying the form of the bound state potential well. Again the magnitude of the single-particle wave function in the asymptotic region can be extracted from the knowledge of spectroscopic factor of the populated state and the normalisation factor of the particular reaction used. Therefore, it seems interesting to see the effect of a realistic average potential on the orbit radii of valence nucleons of a good closed shell nucleus. The states of 2~ populated via the (t, e) reaction have been found to be quite pure single particle shell model states. This view is confirmed by the absence of any transfer to these orbits in stripping reaction studies [1]. Similarly few low lying states of 2~ exhaust almost all the spectroscopic strength [2]. Therefore, 2~behaves like a good doubly shell closed nucleus. Recently [-3, 4] the proton orbit sizes of the 3sl/z, 2d3/2, lh11/2 and 2d5/2 states in 2~ and the lh9/2 state in 2~ through the sub-Coulomb (t,c~) reaction have been reported. In this work, we present the results of our calculation about the orbit sizes, obtained through numerical solution of the radial part of the Schr6-dinger equation having an optimized one body potential of Woods-Saxon form.The method of obtaining a good set of potential parameters which reproduces the single particle shell model states near the Fermi surface of 2~ has been reported earlier [-5]. However, for the sake of clarity we point out the main features here. The bary-centers of the different spin orbit doublets (SOD) for the proton states in z~ from the observed single particle spectra have been calculated. This necessitated a three parameter optimisation technique for fixing the geometrical shape of the central potential. We then introduced the spin orbit potential keeping the geometry identical to that of the central part. For the protons we have added the Coulomb term with r~oul = ro (central). One interesting feature of our potential is the

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“…As the single particle shell model gets its maximum support in the lead region [13,14], we have optimized the potential parameters of WoodsSaxon shape for the doubly closed shell nucleus 2~ both for protons and neutrons. The method has been elaborated earlier [15].…”

Section: Pacs: 2110ftmentioning

confidence: 99%

Utility of a global set of potential parameters from the orbit radii measurements of valence nucleons

Bhattacharya

1988

Z. Physik A - Atomic Nuclei

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On the basis of a unique set of one body potentials and a good interpolation formula we have calculated orbit radii of valence nucleons of different nuclei near the closed shells ranging from calcium to bismuth and have found good agreement with the experimental results, thus demanding its use as a global one. PACS: 21.10.ftConsiderable amount of data regarding orbit radii measurements of valence nucleons of various nuclei [1][2][3][4][5][6][7] by the method of sub-Coulomb transfer reactions have been accumulated over past few years. These data are valuable to the experimentalists as well as to be theoreticians because of the reason that minute details of the nuclear wave function near the surface of the nuclei can be obtained here. The information thus gathered can be utilized to understand the nucleon transfer mechanism. However, a consistent evaluation of the situation is lacking. In order to reproduce the experimental results from a very general approach we have undertaken here a program which needs a little elaboration. But before we discuss our method, let us recall a few points about the extraction of orbit radii from sub-Coulomb transfer reactions and the difficulties therein. Transfer reactions below the Coulomb barrier in both, the entrance and exit channels, provide the possibility to extract spectroscopic information relatively free of uncertainties associated with the optical model. Sub-Coulomb studies using light ion projectiles are carried out with very good energy resolution (~ 10 keV) and because of the large de Broglie wavelength, the Q window is broad. There are certain ambiguities related to these experiments: Uncertainties in the spectroscopic factors arising from the optical model parameter sets exist and the description of the bound states, included in the sum-rule analysis, by a Woods-Saxon potential is not unique. However, the most direct method of measuring neutron excess radii is provided by the sub-Coulomb transfer reaction. The first application of this technique was made by K6rner and Schiffer [8]. Subsequently, similar measurements both with light-ion projectiles [9] and with heavy-ion projectiles [10] have been reported. By gathering the results of Refs. 11 and 12 and Refs. 1-7, it now becomes clear that the sub-Coulomb (t, d) reaction, sub-Coulomb heavy-ion single neutron transfer reactions and magnetic electron scattering determine the r.m.s, radii of single-particle components in nuclear states in a consistent way. The consistency of the three techniques has been demonstrated to be within __ 0.05 fm. This consistency together with the fact that Hartree-Fock theory yields separation energies widely different from the experimental values indicating somewhat incorrect fall-off of 02 (r) at large r, implies that the generation of single particle wavefunctions by the WoodsSaxon well procedure is adequate to within the limitations of the experimental methods. On the basis of these arguments, we have calculated r.m.s, orbit radii and separation energies of valence nucleon states over a...

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Nuclear data sheets for A = 207

Cited by 42 publications

References 188 publications

Neutron binding and excitation energies of some Pb isotopes

Neutron binding and excitation energies of some Pb isotopes

The effect of average one body potential on the orbit radii measurements in the lead region

Utility of a global set of potential parameters from the orbit radii measurements of valence nucleons

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