Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors

Mukhamedzhanov, A. M.; Kadyrov, Alisher

doi:10.1103/physrevc.82.051601

Cited by 51 publications

(68 citation statements)

References 17 publications

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“…It is the asymptotic normalization coefficient, which is calculated from the tail of the radial overlap function that enters the exact reaction amplitudes. It is arguably the relevant quantity to calculate for reactions [34]. The results in Fig.…”

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confidence: 85%

Closed-shell properties ofO24withab initiocoupled-cluster theory

et al. 2011

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We present a microscopic calculation of spectroscopic factors for neutron and proton removal from 24 O using the coupled-cluster method and a state-of-the-art chiral nucleon-nucleon interaction at next-to-next-to-next-to-leading order. In order to account for the coupling to the scattering continuum we use a Berggren single-particle basis that treats bound, resonant, and continuum states on an equal footing. We report neutron removal spectroscopic factors for the 23 O states J π = 1/2 + , 5/2 + , 3/2 − and 1/2 − , and proton removal spectroscopic factors for the 23 N states 1/2 − and 3/2 − . Our calculations support the accumulated experimental evidence that 24 O is a closed-shell nucleus.PACS numbers: 21.10.Jx, 21.60. De, 21.10.Pc, 31.15.bw, 24.10.Cn Introduction The study of nuclei far from stability is a leading direction in nuclear physics, experimentally and theoretically. It represents a considerable intellectual challenge to our understanding of the stability of matter itself, with potential implications for the synthesis of elements. An important aspect of this research direction is to understand how magic numbers and shells appear and evolve with increasing numbers of neutrons or protons. The structure and properties of barely stable nuclei at the limits of stability, have been demonstrated to deviate dramatically from the established patterns for ordinary and stable nuclei, see Ref.[1] and references therein for a recent review. One of the striking features of nuclei close to the drip line is the adjustment of shell gaps, giving rise to different magic numbers [2]. The way shell closures and single-particle properties evolve as functions of the number of nucleons forms one of the greatest challenges to our understanding of the basic features of nuclei, and thereby the stability of matter.The chain of oxygen isotopes up to 28 O is particularly interesting since these are the heaviest nuclei for which the drip line is well established. Two out of four stable even-even isotopes exhibit a doubly magic nature, namely 22 O (Z=8,N =14) and 24 O (Z=8, N =16). Several recent experiments [3-6] bring evidence that 24 O is the last stable oxygen isotope. This is remarkable, in particular if one considers the fact that the addition of a single proton on top of the Z = 8 closed shell brings the drip line of the fluorine isotopes to 31 F. Recent measurements [3] also suggest that 24 O has a spherical neutron configuration. The isotopes 25−28 O are all believed to be unstable towards neutron emission, even though 28 O is a doubly magic nucleus within the standard shell-model picture. This indicates that the magic number at the neutron drip line for the oxygen isotopes is not at N = 20 but rather at N = 16.Although spectroscopic factors are not observable quantities [9,10], they can be used to address shell closure properties within the context of a given model. Experimentally, spectroscopic factors are defined as the ratio of the observed reaction rate with respect to the same

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confidence: 85%

Closed-shell properties ofO24withab initiocoupled-cluster theory

et al. 2011

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“…The tails of both potential and wavefunction, however, will remain unchanged. Hence, the ANC is a quantity that does not "feel" the changes of the short range physics (see [92], discussion in [93] about observables and non-observables and also [56] for an overview of unitary transformations and their impact on nuclear structure operators.). Experimentally, ANCs have been measured for s-shell and p-shell nuclei and for a detailed list of references we refer the reader to [94].…”

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confidence: 99%

Ab initiono-core Gamow shell model calculations with realistic interactions

et al. 2013

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No-Core Gamow Shell Model (NCGSM) is applied for the first time to study selected well-bound and unbound states of helium isotopes. This model is formulated on the complex energy plane and, by using a complete Berggren ensemble, treats bound, resonant, and scattering states on equal footing. We use the Density Matrix Renormalization Group method to solve the manybody Schrödinger equation. To test the validity of our approach, we benchmarked the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for 3 H and 4 He nuclei. We also performed ab initio NCGSM calculations for the unstable nucleus 5 He and determined the ground state energy and decay width, starting from a realistic N 3 LO chiral interaction.

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“…The credibility of a reaction model for A(e,e p) * Jan.Ryckebusch@UGent.be † Wim.Cosyn@UGent.be ‡ Maarten.Vanhalst@UGent.be depends on its ability to describe, for example, the differential cross sections and polarization observables for a number of target nuclei. An interesting question is whether the extracted normalization factors can be related to the shell occupancy in a model-independent fashion [4,5].…”

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confidence: 99%

Density dependence of quasifree single-nucleon knockout reactions

2011

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We address the issue of whether quasifree single-nucleon knockout measurements carry sufficient information about the nuclear interior. To this end, we present comparisons of the reaction probability densities for A(e,e p) and A (p,2p) in quasifree kinematics for the target nuclei 4 He, 12 C, 56 Fe, and 208 Pb. We adopt a comprehensive framework based on the impulse approximation and on a relativized extension of Glauber multiple-scattering reaction theory in which the medium effects related to short-range correlations (SRCs) are implemented. It is demonstrated that SRCs weaken the effect of attenuation. For light target nuclei, both the quasifree (p,2p) and (e,e p) can probe average densities of the same order as nuclear saturation density ρ 0 . For heavy nuclei such as 208 Pb, the probed average densities are smaller than 0.1ρ 0 and the (e,e p) reaction is far more efficient in probing the bulk regions than (p,2p).

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Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors

Cited by 51 publications

References 17 publications

Closed-shell properties ofO24withab initiocoupled-cluster theory

Closed-shell properties ofO24withab initiocoupled-cluster theory

Ab initiono-core Gamow shell model calculations with realistic interactions

Density dependence of quasifree single-nucleon knockout reactions

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