Hadronization via recombination

Lee, Kang Seog; Bass, Steffen A.; Müller, Berndt; Nonaka, Chiho

doi:10.1088/0954-3899/36/6/064034

Cited by 12 publications

(19 citation statements)

References 10 publications

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“…After the first study of nuclear matter on the lattice in Ref. [1] in the framework of quantum hadrodynamics [2], lattice simulations have begun to be employed for several other systems involving nuclear matter, fostered by the development of effective field theories [3,4] such as Chiral Effective Field Theories (ChEFT) [5,6,4].…”

Section: Preamblementioning

confidence: 99%

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Breaking and restoration of rotational symmetry in the low energy spectrum of light $ \alpha$α-conjugate nuclei on the lattice I: 8Be and 12C

Stellin¹,

Elhatisari²,

Meißner³

2018

Eur. Phys. J. A

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The breaking of rotational symmetry on the lattice for bound eigenstates of the two lightest alpha conjugate nuclei is explored. Moreover, a macroscopic alpha-cluster model is used for investigating the general problems associated with the representation of a physical many-body problem on a cubic lattice. In view of the descent from the 3D rotation group to the cubic group symmetry, the role of the squared total angular momentum operator in the classification of the lattice eigenstates in terms of SO(3) irreps is discussed. In particular, the behaviour of the average values of the latter operator, the Hamiltonian and the inter-particle distance as a function of lattice spacing and size is studied by considering the 0 + , 2 + , 4 + and 6 + (artificial) bound states of 8 Be and the lowest 0 + , 2 + and 3 − multiplets of 12 C.

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Section: Preamblementioning

confidence: 99%

“…In the phenomenological picture considered here, individual nucleons are grouped into 4 He clusters, that are treated as spinless spherically-charged particles of mass m ≡ m4 He subject to both two-body V II and three-body potentials V III . Therefore, the Hamiltonian of the system reads…”

Section: The Hamiltonianmentioning

confidence: 99%

Breaking and restoration of rotational symmetry in the low energy spectrum of light $ \alpha$α-conjugate nuclei on the lattice I: 8Be and 12C

Stellin¹,

Elhatisari²,

Meißner³

2018

Eur. Phys. J. A

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“…Nuclear density functionals, even though they are phenomenological, are usually obtained by fitting to the properties of stable nuclei and, therefore, they are not well constrained in exotic regions far from the line of β-stability. Microscopic calculations started from nucleon-nucleon (NN) interaction, or the so called ab initio calculations [14][15][16][17][18][19][20][21][22][23], can provide valuable information to understand nuclear structure but are still difficult to be applied for exotic nuclei.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Brueckner-Hartree-Fock theory for neutron drops

et al. 2018

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Neutron drops confined in an external field are studied in the framework of relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. The ground state energies and radii of neutron drops with even numbers from N = 4 to N = 50 are calculated and compared with results obtained from other nonrelativistic ab initio calculations and from relativistic density functional theory. Special attention has been paid to the magic numbers and to the sub-shell closures. The single-particle energies are investigated and the monopole effect of the tensor force on the evolutions of the spin-orbit and the pseudospin-orbit splittings is discussed. The results provide interesting insight of neutron rich systems and can form an important guide for future density functionals.Recently, the self-consistent relativistic Brueckner-Hartree-Fock (RBHF) theory for finite nuclei has been established, and the results are in much better agreement with experimental data than the nonrelativistic calculations with the 2N interaction only [22,23]. Indeed, it is known since more than 30 years that relativistic Brueckner-Hartree-Fock theory gives a much better description of the nuclear matter saturation properties than nonrelativistic BHF theories [38][39][40]. In nonrelativistic many-body investigations on the influence of various types of 3N-interactions, it was found that a relativistic effect, the so-called Z-diagram, plays a major role [41].Having these progresses in mind, it is important to study the neutron drops in more detail in the framework of RBHF theory and compare the results with other nonrelativistic ab initio calculations using various 2N or 2N + 3N interactions, as well as calculations using various density functionals. This can also provide valuable insight to improve current relativistic density functionals. In Ref. [28], a systematic and specific pattern due to the tensor forces in the evolution of spin-orbit splittings based on RBHF theory is reported.In this work, we investigate neutron drops confined in an external harmonic oscillator potential using relativistic Brueckner-Hartree-Fock theory, and present the numerical details and calculated results in detail. In Sec. II, we give a brief outline of the RBHF framework for neutron drops. The numerical details are discussed in Sec. III. Results and discussion for neutron drops with an even number of neutrons from N = 4 to 50 will be presented in Sec. IV. Finally, a summary and perspectives for future investigations will be given in Sec.V.

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“…The theoretical error bands for the neutron-proton scattering phase shifts and mixing angles versus the relative momenta for a = 1.97, 1.64, 1.32 and 0.99 fm are shown in Figs. (9)(10)(11)(12), in which we see a systematic decrease in the uncertainties for the Sand Dwave phase shifts with decreasing lattice spacing. The unexpectedly small NLO uncertainties for the 3 P 0 phase shifts at a coarse lattice spacing are caused by the rather good but accidental accuracy of the 3 P 0 phase shifts at LO.…”

Section: Theoretical Uncertaintiesmentioning

confidence: 88%

Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Elhatisari

Epelbaum

et al. 2018

Phys. Rev. C

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We present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and the resulting lattice phase shifts are more accurate than in previous studies. We present results for the neutron-proton system up to next-to-next-to-next-to-leading order for lattice spacings of 1.97, 1.64, 1.32, and 0.99 fm. Our results provide a pathway to ab initio lattice calculations of nuclear structure, reactions, and thermodynamics with accurate and systematic control over the chiral nucleon-nucleon force. *

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Hadronization via recombination

Cited by 12 publications

References 10 publications

Breaking and restoration of rotational symmetry in the low energy spectrum of light $ \alpha$α-conjugate nuclei on the lattice I: 8Be and 12C

Breaking and restoration of rotational symmetry in the low energy spectrum of light $ \alpha$α-conjugate nuclei on the lattice I: 8Be and 12C

Relativistic Brueckner-Hartree-Fock theory for neutron drops

Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

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