Application of the relativistic mean-field mass model to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:math>-process and the influence of mass uncertainties

Sun, B.; Montes, F.; Geng, Li-Sheng; Geißel, H.; Litvinov, Yu. A.; Meng, J.

doi:10.1103/physrevc.78.025806

Cited by 87 publications

(58 citation statements)

References 61 publications

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“…To examine how well δR 1p−1n (Z, N ) ≈ 0 can reach in precision when going far away from stability, for each isobaric chain with mass A, we parametrize the distance between the nuclide (Z, A − Z) and the nuclide (Z 0 , A − Z 0 ) in the β-stability line [23] by the isobaric distance from stability ε = |Z 0 − Z| with…”

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confidence: 99%

New charge radius relations for atomic nuclei

et al. 2014

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We show that the charge radii of neighboring atomic nuclei, independent of atomic number and charge, follow remarkably very simple relations, despite the fact that atomic nuclei are complex finite many-body systems governed by the laws of quantum mechanics. These relations can be understood within the picture of independent-particle motion and by assuming that neighboring nuclei have similar patterns in the charge density distribution. A root-mean-square (rms) deviation of 0.0078 fm is obtained between the predictions in these relations and the experimental values, i.e., a precision comparable modern experimental techniques. Such high accuracy relations are very useful to check the consistence of the nuclear charge radius surface and moreover to predict unknown nuclear charge radii, while large deviations from experimental data are seen to reveal the appearance of nuclear shape transition or coexsitence.PACS numbers: 21.10. Ft, 21.90.+f, 27.70.+q, 29.87.+g Like many systems governed by the laws of quantum mechanics, the nucleus is an object full of mysteries whose properties are much more difficult to characterize than those of macroscopic objects. Rather than build an exact replica of the nuclear system (almost an impossible job), nuclear physicists in reality have selected a different approach, using a relatively small number of measurable properties of quantum systems to specify the overall characteristic of the entire nucleus. Investigations of these properties and moreover using them as bridges to reveal the atomic nucleus, form the basis of present nuclear physics investigations. Nuclear extension in space, often characterized by charge radius, is one of such static properties.Nowadays, nuclear size data [1] constitute one of the most precise and extensive arrays of experimental information available for the interpretation of nuclear phenomena. The pioneering works by using various methods such as electron scattering and muonic atomic spectroscopy [2], indicated that a nuclide near the β-stability line behaves like a solid sphere with constant density. In recent decades, the enormous progress in size determination of exotic nuclides has been entwined with the realization of radioactive ion beams [3] and fast developments especially in ultra-high-sensitivity laser spectroscopy techniques [4,5]. The new measurements contributed to revealing, for example, the neutron skin effect [6,7] and the nuclear shape variances [8][9][10] when moving far away from the stability line. These new results are among the strongest motivations for the next generations of nuclear physics facilities, in which electron-scattering experiments [11,12] on unstable nu- * Corresponding author: bhsun@buaa.edu.cn † ymzhao@sjtu.edu.cn clei are under way. In the march towards the new era of nuclear physics, the knowledge of nuclear sizes plays a very important role in understanding complex atomic nuclei.New precision data in turn challenge the present theories and trigger innovations to interpret the results and to understand underlying...

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confidence: 99%

New charge radius relations for atomic nuclei

et al. 2014

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“…Considering that the relativistic mean-field theory is very successful in describing various nuclear phenomena [44][45][46][47][48][49][50] and nuclear inputs in astrophysics [51][52][53][54][55], we explore the single-particle resonances in deformed nuclei based on the relativistic mean-field theory with the Dirac equation as…”

Section: Formalismmentioning

confidence: 99%

Probing resonances in the Dirac equation with quadrupole-deformed potentials with the complex momentum representation method

et al. 2017

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Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for probing single-particle resonances by solving the Dirac equation in complex momentum representation for spherical nuclei. Here, we extend this method to deformed nuclei with theoretical formalism presented. We elaborate numerical details, and calculate the bound and resonant states in 37 Mg. The results are compared with those from the coordinate representation calculations with a satisfactory agreement. In particular, the present method can expose clearly the resonant states in complex momentum plane and determine precisely the resonance parameters for not only narrow resonances but also broad resonances that were difficult to obtain before.

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“…In the waiting-point approach [4,[12][13][14], the abundance ratio between two neighboring isotopes is given by the Saha equation: …”

Section: Nuclear Mass and Precisionmentioning

confidence: 99%

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

et al. 2015

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The open question of where, when, and how the heavy elements beyond iron enrich our Universe has triggered a new era in nuclear physics studies. Of all the relevant nuclear physics inputs, the mass of very neutron-rich nuclides is a key quantity for revealing the origin of heavy elements beyond iron. Although the precise determination of this property is a great challenge, enormous progress has been made in recent decades, and it has contributed significantly to both nuclear structure and astrophysical nucleosynthesis studies. In this review, we first survey our present knowledge of the nuclear mass surface, emphasizing the importance of nuclear mass precision in r-process calculations. We then discuss recent progress in various methods of nuclear mass measurement with a few selected examples. For each method, we focus on recent breakthroughs and discuss possible ways of improving the weighing of r-process nuclides.

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Application of the relativistic mean-field mass model to ther-process and the influence of mass uncertainties

Cited by 87 publications

References 61 publications

New charge radius relations for atomic nuclei

New charge radius relations for atomic nuclei

Probing resonances in the Dirac equation with quadrupole-deformed potentials with the complex momentum representation method

Toward precision mass measurements of neutron-rich nuclei relevant to r-process nucleosynthesis

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