New constructions of permutation polynomials of the form 
                $$x^rh\left( x^{q-1}\right) $$
                
                    
                        
                            
                                x
                                r
                            
                            h
                            
                                
                                    x
                                    
                                        q

Li, Kangquan; Qu, Longjiang; Wang, Qiang

doi:10.1007/s10623-017-0452-3

Cited by 207 publications

(233 citation statements)

References 22 publications

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“…For example, the neutral pion condensate is always in the forms of Eqs. (24,25) without further condition about the value of |E · B| if anomaly and vorticity are there. It is also worth mentioning a new electric-field-vorticity coupling term in the condensate which has not been derived in literature to our knowledge.…”

Section: Chiral Current Nonconservation Law and Pseudoscalar Condementioning

confidence: 99%

“…The CME, CVE and other related effects such as chiral magnetic wave [15,16] have been extensively studied in the quark-gluon plasma produced in high-energy heavy-ion collisions in which very strong magnetic fields [5,[17][18][19][20][21][22][23][24][25] and huge global angular momenta [26][27][28][29] are produced in non-central collisions. The charge separation effect observed in STAR [30,31] and ALICE [32] experiments are consistent to the CME prediction.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Fang

Pang²,

Wang

et al. 2017

Phys. Rev. D

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We derive the pseudoscalar condensate induced by anomaly and vorticity from the Wigner function for massive fermions in homogeneous electromagnetic fields. It has an anomaly term and a forcevorticity coupling term. As a mass effect, the pseudoscalar condensate is linearly proportional to the fermion mass in small mass expansion. By a generalization to two-flavor and three-flavor cases, the neutral pion and eta meson condensates are calculated from the Wigner function and have anomaly parts as well as force-vorticity parts, in which the anomaly part of the neutral pion condensate is consistent to the previous result. We also discuss about possible observables of the condensates in heavy ion collisions such as collective flows of neutral pions and eta mesons which may be influenced by the electromagnetic field and vorticity profiles.

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Section: Chiral Current Nonconservation Law and Pseudoscalar Condementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Fang

Pang²,

Wang

et al. 2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…In non-central heavy-ion collisions at high energies very strong magnetic fields [4,[19][20][21][22][23][24][25][26][27] and huge global angular momenta [28][29][30][31][32] are produced. The CME, CVE and some other effects such as chiral magnetic wave [33,34] have been extensively studied in heavy-ion collisions.…”

Section: Introductionmentioning

confidence: 99%

Covariant chiral kinetic equation in the Wigner function approach

Gao

Wang

2017

Phys. Rev. D

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The covariant chiral kinetic equation (CCKE) is derived from the 4-dimensional Wigner function by an improved perturbative method under the static equilibrium conditions. The chiral kinetic equation in 3-dimensions can be obtained by integration over the time component of the 4-momentum. There is freedom to add more terms to the CCKE allowed by conservation laws. In the derivation of the 3-dimensional equation, there is also freedom to choose coefficients of some terms in dx0/dτ and dx/dτ (τ is a parameter along the worldline, and (x0, x) denotes the timespace position of a particle) whose 3-momentum integrals are vanishing. So the 3-dimensional chiral kinetic equation derived from the CCKE is not uniquely determined in the current approach. To go beyond the current approach, one needs a new way of building up the 3-dimensional chiral kinetic equation from the CCKE or directly from covariant Wigner equations.

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“…On the other hand, the threshold enhancement by the anomalous triangle singularity is discussed in Refs. [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for D¯()Λ
Yamaguchi
¹
,
Santopinto
²

2017
Phys. Rev. D*
66
2
41
0
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The recent observation of two hidden-charm pentaquark states by LHCb collaborations prompted us to investigate the exotic states close to theDΛ c ,D * Λ c ,DΣ c ,DΣ * c ,D * Σ c andD * Σ * c thresholds. We therefore studied the hadronic molecules that form the coupled-channel system ofD ( * ) Λ c andD ( * ) Σ ( * ) c . As the heavy quark spin symmetry manifests the mass degenerations ofD andD * mesons, and of Σ c and Σ * c baryons, the coupled channels ofD ( * ) Σ ( * ) c are important in these molecules. In addition, we consider the coupling to thē D ( * ) Λ c channel whose thresholds are near theD ( * ) Σ ( * ) c thresholds, and the coupling to the state with nonzero orbital angular momentum mixed by the tensor force. This full coupled channel analysis ofD ( * ) Λ c −D ( * ) Σ ( * ) c with larger orbital angular momentum has never been performed before. By solving the coupled-channel Schrödinger equations with the one meson exchange potentials that respected to the heavy quark spin and chiral symmetries, we studied the hidden-charm hadronic molecules with I(J P ) = 1/2(3/2 ± ) and 1/2(5/2 ± ). We conclude that the J P assignment of the observed pentaquarks is 3/2 + for P + c (4380) and 5/2 − for P + c (4450), which is agreement with the results of the LHCb analysis. In addition, we give predictions for other J P = 3/2 ± states at 4136.0, 4307.9 and 4348.7 MeV in J P = 3/2 − , and 4206.7 MeV in J P = 3/2 + , which can be further investigated by means of experiment.

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New constructions of permutation polynomials of the form $$x^rh\left( x^{q-1}\right) $$ x r h x q

Cited by 207 publications

References 22 publications

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Covariant chiral kinetic equation in the Wigner function approach

Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for D¯()Λ
Yamaguchi
¹
,
Santopinto
²

2017
Phys. Rev. D*
66
2
41
0
View full text Add to dashboard Cite

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New constructions of permutation polynomials of the form $$x^rh\left( x^{q-1}\right) $$ x r h x q

Cited by 207 publications

References 22 publications

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Covariant chiral kinetic equation in the Wigner function approach

Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for D¯(*)ΛYamaguchi1, Santopinto2 2017Phys. Rev. D662410View full textAdd to dashboardCite

Contact Info

Product

Resources

About

Hidden-charm pentaquarks as a meson-baryon molecule with coupled channels for D¯()Λ
Yamaguchi
¹
,
Santopinto
²

2017
Phys. Rev. D*
66
2
41
0
View full text Add to dashboard Cite