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Journal ArticleDOI

Ab initio no core shell model

TL;DR: In this paper, a non-perturbative ab initio no core shell model (NCSM) was proposed to solve the properties of nuclei exactly for arbitrary nucleon-nucleon (N N ) and N N + ǫ − three-N n interactions with exact preservation of all symmetries.
About: This article is published in Progress in Particle and Nuclear Physics.The article was published on 2013-03-01 and is currently open access. It has received 547 citations till now. The article focuses on the topics: Ab initio.

Summary (1 min read)

Jump to: [3.2 6Lt, 'He] and [4 Conclusions]

3.2 6Lt, 'He

  • In Table 2 and Fig. 3 , the authors present the ground-state energy, excitation spectra as well as several other observable results calculated with the CD- Bonn NN potential.
  • While the energy of the ground-state eigenstate increases with increasing model space, the relative level spacings are less dependent on model-space size.
  • The authors note that the favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.
  • The two-or higher-hQ dominated states, such as the 7.65 MeV O+O state, are not seen in the low-lying part of their calculated spectra.
  • The authors expect this state eventually to change its structure and become the cluster state.

4 Conclusions

  • In the present contribution, the authors described the ab inztzo no-core shell-model approach and discussed its application to the lightest nuclei, 3H, 3He and 4He, for which they obtain converged results.
  • Also, the authors showed their results €or 'Li, "He and "C. In these far more complex cases, they get close to convergence for A = 6.
  • For 12C the authors do not reach full convergence, but nonetheless they obtain a reasonable approximation for the lowest OhCl-dominated states.

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Citations
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Journal ArticleDOI
TL;DR: This work designs a low-depth version of the unitary coupled-cluster ansatz, uses the variational quantum eigensolver algorithm, and compute the binding energy to within a few percent of the deuteron binding energy.
Abstract: We report a quantum simulation of the deuteron binding energy on quantum processors accessed via cloud servers. We use a Hamiltonian from pionless effective field theory at leading order. We design a low-depth version of the unitary coupled-cluster ansatz, use the variational quantum eigensolver algorithm, and compute the binding energy to within a few percent. Our work is the first step towards scalable nuclear structure computations on a quantum processor via the cloud, and it sheds light on how to map scientific computing applications onto nascent quantum devices.

391 citations

Journal ArticleDOI
TL;DR: The technical and conceptual developments of this method in nuclear physics, and the results of coupled-cluster calculations for nucleonic matter, and for exotic isotopes of helium, oxygen, calcium, and some of their neighbors are reviewed.
Abstract: In the past decade, coupled-cluster theory has seen a renaissance in nuclear physics, with computations of neutron-rich and medium-mass nuclei. The method is efficient for nuclei with product-state references, and it describes many aspects of weakly bound and unbound nuclei. This report reviews the technical and conceptual developments of this method in nuclear physics, and the results of coupled-cluster calculations for nucleonic matter, and for exotic isotopes of helium, oxygen, calcium, and some of their neighbors.

386 citations


Cites background or methods from "Ab initio no core shell model"

  • ...Examples of ab initio approaches are the GFMC method (Pieper and Wiringa, 2001), the NCSM (Navrátil et al., 2009; Maris et al., 2009; Barrett et al., 2013), the self-consistent Green’s function method (Dickhoff and Barbieri, 2004; Barbieri and Hjorth-Jensen, 2009), lattice simulations (Lee, 2009),…...

    [...]

  • ...…function Monte Carlo (GFMC) computations (Carlson, 1987; Pudliner et al., 1997; Pieper and Wiringa, 2001) and no-core shell-model (NCSM) computations (Navrátil et al., 2000; Navrátil et al., 2009; Barrett et al., 2013) convincingly demonstrated that p-shell nuclei can be computed from scratch....

    [...]

Journal ArticleDOI
TL;DR: The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential as mentioned in this paper, which has been a long-studied problem.
Abstract: The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently stepped up their efforts as ton-scale experiments have begun to look feasible. Here we review past and recent work on the matrix elements in a wide variety of nuclear models and discuss work that will be done in the near future. Ab initio nuclear-structure theory, which is developing rapidly, holds out hope of more accurate matrix elements with quantifiable error bars.

351 citations

Journal ArticleDOI
TL;DR: In the past decade, coupled-cluster theory has seen a renaissance in nuclear physics, with computations of neutron-rich and medium-mass nuclei as discussed by the authors, and it describes many aspects of weakly bound and unbound nuclei.
Abstract: In the past decade, coupled-cluster theory has seen a renaissance in nuclear physics, with computations of neutron-rich and medium-mass nuclei. The method is efficient for nuclei with product-state references, and it describes many aspects of weakly bound and unbound nuclei. This report reviews the technical and conceptual developments of this method in nuclear physics, and the results of coupled-cluster calculations for nucleonic matter, and for exotic isotopes of helium, oxygen, calcium, and some of their neighbors.

332 citations

Journal ArticleDOI
TL;DR: Past and recent work on the matrix elements in a wide variety of nuclear models are reviewed and work that will be done in the near future is discussed.
Abstract: The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently stepped up their efforts as ton-scale experiments have begun to look feasible. Here we review past and recent work on the matrix elements in a wide variety of nuclear models and discuss work that will be done in the near future. Ab initio nuclear-structure theory, which is developing rapidly, holds out hope of more accurate matrix elements with quantifiable error bars.

265 citations

References
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Journal ArticleDOI
TL;DR: In this article, it was shown that no CP-violating interactions exist in the quartet scheme without introducing any other new fields, and that the strong interaction must be chiral SU ( 4) X SU( 4) invariant as precisely as the conservation of the third component of the iso-spin.
Abstract: In a framework of the renormalizable theory of weak interaction, problems of CP-violation are studied. It is concluded that no realistic models of CP-violation exist in the quartet scheme without introducing any other new fields. Some possible models of CP-violation are also discussed. When we apply the renormalizable theory of weak interaction1l to the hadron system, we have some limitations on the hadron model. It is well known that there exists, in the case of the triplet model, a difficulty of the strangeness chang­ ing neutral current and that the quartet model is free from this difficulty. Fur­ thermore, Maki and one of the present authors (T.M.) have shown2l that, in the latter case, the strong interaction must be chiral SU ( 4) X SU ( 4) invariant as precisely as the conservation of the third component of the iso-spin 13 • In addi­ tion to these arguments, for the theory to be realistic, CP-violating interactions should be incorporated in a gauge invariant way. This requirement will impose further limitations on the hadron model and the CP-violating interaction itself. The purpose of the present paper is to investigate this problem. In the following, it will be shown that in the case of the above-mentioned quartet model, we cannot make a CP-violating interaction without introducing any other new fields when we require the following conditions: a) The mass of the fourth member of the quartet, which we will call (, is sufficiently large, b) the model should be con­ sistent with our well-established knowledge of the semi-leptonic processes. After that some possible ways of bringing CP-violation into the theory will be discussed. We consider the quartet model with a charge assignment of Q, Q -1, Q -1 and Q for p, n, A. and (, respectively, and we take the same underlying gauge group SUweak (2) X SU(1) and the scalar doublet field cp as those of Weinberg's original model.1l Then, hadronic parts of the Lagrangian can be devided in the following way:

5,389 citations

Journal ArticleDOI
Nicola Cabibbo1
TL;DR: In this article, an analysis of leptonic decays based on unitary symmetry for strong interactions and the V-A theory for weak interactions is presented, and an explanation for the observed predominance of the LAMBDA yields + e/sup -/ + nu decay over the lamBDA /sup −/ yields n + e /sup + n decay.
Abstract: An analysis of leptonic decays based on unitary symmetry for strong interactions (eightfold way) and the V-A theory for weak interactions is presented. An explanation for the observed predominance of the LAMBDA yields + e/sup -/ + nu decay over the LAMBDA /sup -/ yields n + e/sup -/ + nu decay is obtained. Branching ratios predicted for electron modes with DELTA S, 1 are presented; the ratios for the above decays agree well with experimental results. (D.C.W.)

3,957 citations

Journal ArticleDOI
03 Apr 2009-Science
TL;DR: The capacity to generate cardiomyocytes in the adult human heart suggests that it may be rational to work toward the development of therapeutic strategies aimed at stimulating this process in cardiac pathologies.
Abstract: It has been difficult to establish whether we are limited to the heart muscle cells we are born with or if cardiomyocytes are generated also later in life. We have taken advantage of the integration of carbon-14, generated by nuclear bomb tests during the Cold War, into DNA to establish the age of cardiomyocytes in humans. We report that cardiomyocytes renew, with a gradual decrease from 1% turning over annually at the age of 25 to 0.45% at the age of 75. Fewer than 50% of cardiomyocytes are exchanged during a normal life span. The capacity to generate cardiomyocytes in the adult human heart suggests that it may be rational to work toward the development of therapeutic strategies aimed at stimulating this process in cardiac pathologies.

2,804 citations

Journal ArticleDOI
TL;DR: The authors present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which they designate Argonne {upsilon}{sub 18}.
Abstract: The authors present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which they designate Argonne {upsilon}{sub 18}. The model has a charge-independent part with fourteen operator components that is an updated version of the Argonne {upsilon}{sub 14} potential. Three additional charge-dependent and one charge-asymmetric operators are added, along with a complete electromagnetic interaction. The potential has been fit directly to the Nijmegen pp and np scattering data base, low-energy nn scattering parameters, and deuteron binding energy. With 40 adjustable parameters it gives a {chi}{sup 2} per datum of 1.09 for 4,301 pp and np data in the range 0--350 MeV.

2,409 citations

Journal ArticleDOI
TL;DR: Hard (infinitely hard) and soft (Yukawa) core potentials have been fit to Yale and Livermore phase parameters and low-energy data as discussed by the authors, and it is found that neither the short-range behavior of the potentials nor the central-to-tensor ratio in the 3 S 1 - 3 D 1 state is well determined by the data.

1,818 citations