Collective Hamiltonian for chiral modes

Chen, Q. B.; Zhang, S. Q.; Zhao, P. W.; Jolos, R. V.; Meng, J.

doi:10.1103/physrevc.87.024314

Cited by 84 publications

(147 citation statements)

References 15 publications

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“…[33,34]. Choosing the azimuth angle ϕ as the collective coordinate, the collective Hamiltonian readŝ…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…of TAC calculations with respect to the polar angle θ for given ϕ [33,34]. For a high-j, the TAC Hamiltonian reads [3] h ′ =ĥ def − ω ·ĵ,…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…With the collective potential from the TAC model [33,34] and the mass parameter from the HFA formula (11), the collective Hamiltonian (1) the collective Hamiltonian is solved by diagonalization. Since the collective Hamiltonian is invariant with respect to the ϕ → −ϕ transformation, one chooses the following bases…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Theoretically, the triaxial particle rotor model (PRM) [1,[15][16][17][18][19][20][21][22] and the cranking model plus random phase approximation (RPA) [23][24][25][26][27][28][29][30][31][32] have been widely used to describe the wobbling motion. Recently, based on the cranking mean field and treating the nuclear orientation as collective degree of freedom, a collective Hamiltonian was constructed and applied for the chiral [33] and wobbling modes [34]. Usually, the orientation of a nucleus in the rotating mean field is described by the polar angle θ and azimuth angle ϕ in spherical coordinates.…”

Section: Introductionmentioning

confidence: 99%

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Wobbling motion in Pr135 within a collective Hamiltonian

2016

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The recently reported wobbling bands in 135 Pr are investigated by the collective Hamiltonian, in which the collective parameters, including the collective potential and the mass parameter, are respectively determined from the tilted axis cranking (TAC) model and the harmonic frozen alignment (HFA) formula. It is shown that the experimental energy spectra of both yrast and wobbling bands are well reproduced by the collective Hamiltonian. It is confirmed that the wobbling mode in 135 Pr changes from transverse to longitudinal with the rotational frequency. The mechanism of this transition is revealed by analyzing the effective moments of inertia of the three principal axes, and the corresponding variation trend of the wobbling frequency is determined by the softness and shapes of the collective potential.

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“…[33,34]. Choosing the azimuth angle ϕ as the collective coordinate, the collective Hamiltonian readŝ…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…of TAC calculations with respect to the polar angle θ for given ϕ [33,34]. For a high-j, the TAC Hamiltonian reads [3] h ′ =ĥ def − ω ·ĵ,…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Wobbling motion in Pr135 within a collective Hamiltonian

2016

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“…We introduce the PNJL model in Sec. II, placing particular emphasis on the issue of ultraviolet regularization, which always plays a crucial role in any application of a contact interaction [39][40][41][42][43][44][45]. Section III updates DSE predictions for the phase diagram of QCD with µ 5 ≥ 0.…”

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confidence: 99%

Critical end point in the presence of a chiral chemical potential

Cui

Cloët

et al. 2016

Phys. Rev. D

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A class of Polyakov-loop-modified Nambu-Jona-Lasinio (PNJL) models have been used to support a conjecture that numerical simulations of lattice-regularized quantum chromodynamics (QCD) defined with a chiral chemical potential can provide information about the existence and location of a critical endpoint in the QCD phase diagram drawn in the plane spanned by baryon chemical potential and temperature. That conjecture is challenged by conflicts between the model results and analyses of the same problem using simulations of lattice-regularized QCD (lQCD) and wellconstrained Dyson-Schwinger equation (DSE) studies. We find the conflict is resolved in favor of the lQCD and DSE predictions when both a physically-motivated regularization is employed to suppress the contribution of high-momentum quark modes in the definition of the effective potential connected with the PNJL models and the four-fermion coupling in those models does not react strongly to changes in the mean-field that is assumed to mock-up Polyakov loop dynamics. With the lQCD and DSE predictions thus confirmed, it seems unlikely that simulations of lQCD with µ5 > 0 can shed any light on a critical endpoint in the regular QCD phase diagram.PACS numbers: 12.38. Mh, 25.75.Nq, 12.38.Aw I. Introduction. One of the most basic questions in the Standard Model refers to unfolding the state of stronglyinteracting matter at extreme temperature and density: the former existed shortly after the Big-Bang and the latter is thought to exist in the core of compact astrophysical objects. Quantum chromodynamics (QCD) is supposed to provide the answer, which hinges on the existence and interplay between color confinement and dynamical chiral symmetry breaking (DCSB), two emergent phenomena whose domains of persistence and disappearance characterize a potentially very rich phase structure. Confinement is most simply defined empirically: those degrees-of-freedom used in defining the QCD Lagrangian (gluons and quarks) do not exist as asymptotic states, i.e. these partonic excitations do not propagate with integrity over length-scales that exceed some modest fraction of the proton's radius. The forces responsible for confinement appear to generate more than 98% of the mass of visible matter [1,2]. This is DCSB, a quantum field theoretical effect that is expressed and explained via, inter alia, the appearance of momentum-dependent massfunctions for quarks [3][4][5][6] and gluons [7][8][9][10][11][12], and helicityflipping terms in quark-gauge-boson vertices [13][14][15][16][17][18], all in the absence of any Higgs-like mechanism.Owing to the complexity of strong interaction theory, attempts are often made to develop insights concerning confinement, DCSB, and the associated phase diagram in

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Elastic and Transition Form Factors of the Δ(1232)

et al. 2013

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Predictions obtained with a confining, symmetry-preserving treatment of a vector ⊗ vector contact interaction at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations are presented for ∆ and Ω baryon elastic form factors and the γN → ∆ transition form factors. This simple framework produces results that are practically indistinguishable from the best otherwise available, an outcome which highlights that the key to describing many features of baryons and unifying them with the properties of mesons is a veracious expression of dynamical chiral symmetry breaking in the hadron bound-state problem. The following specific results are of particular interest. The ∆ elastic form factors are very sensitive to m ∆ . Hence, given that the parameters which define extant simulations of lattice-regularised QCD produce ∆-resonance masses that are very large, the form factors obtained therewith are a poor guide to properties of the ∆(1232). Considering the ∆-baryon's quadrupole moment, whilst all computations produce a negative value, the conflict between theoretical predictions entails that it is currently impossible to reach a sound conclusion on the nature of the ∆-baryon's deformation in the infinite momentum frame. Results for analogous properties of the Ω baryon are less contentious. In connection with the N → ∆ transition, the Ash-convention magnetic transition form factor falls faster than the neutron's magnetic form factor and nonzero values for the associated quadrupole ratios reveal the impact of quark orbital angular momentum within the nucleon and ∆; and, furthermore, these quadrupole ratios do slowly approach their anticipated asymptotic limits.

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Collective Hamiltonian for chiral modes

Cited by 84 publications

References 15 publications

Wobbling motion in Pr135 within a collective Hamiltonian

Wobbling motion in Pr135 within a collective Hamiltonian

Critical end point in the presence of a chiral chemical potential

Elastic and Transition Form Factors of the Δ(1232)

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