Projections of structure functions in a spin-one hadron

Kimura, Toshiei; Kumano, S.

doi:10.1103/physrevd.78.117505

Cited by 17 publications

(22 citation statements)

References 36 publications

(27 reference statements)

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“…As argued by Masashi Kimura in his talk, analyticity of the metric is a crucial property for the investigation of the global structure of the space-time. 108 In particular, he addressed the analyticity of the horizon for extremal Kaluza-Klein multi-black holes.…”

Section: Analyticity Of Event Horizons Of Extremal Kaluza-klein Blackmentioning

confidence: 99%

Black Holes in Higher Dimensions (Black Strings and Black Rings)

Kunz

2008

The Eleventh Marcel Grossmann Meeting

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The main focus of this session was the presentation of new higher-dimensional black hole solutions, including black rings, black strings, and multi black holes, and the study of their properties. Besides new asymptotically flat and locally asymptotically flat black objects also new black holes with anti-de Sitter asymptotics were reported. The studies of their properties included the investigation of their stability, their thermodynamics, their analyticity and their existence. Furthermore, the geodesics in such higher-dimensional space-times were investigated.

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Section: Analyticity Of Event Horizons Of Extremal Kaluza-klein Blackmentioning

confidence: 99%

Black Holes in Higher Dimensions (Black Strings and Black Rings)

Kunz

2008

The Eleventh Marcel Grossmann Meeting

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“…In [40] and [41], the case of rotating black hole and non trivial topology [42,43] were studied, respectively.…”

Section: Introductionmentioning

confidence: 99%

A simple diagnosis of non-smoothness of black hole horizon: curvature singularity at horizons in extremal Kaluza–Klein black holes

Kimura¹,

Ishihara²,

Matsuno³

et al. 2014

Class. Quantum Grav.

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We propose a simple method to prove non-smoothness of a black hole horizon. The existence of a C 1 extension across the horizon implies that there is no C N +2 extension across the horizon if some components of N -th covariant derivative of Riemann tensor diverge at the horizon in the coordinates of the C 1 extension. In particular, the divergence of a component of the Riemann tensor at the horizon directly indicates the presence of a curvature singularity. By using this method, we can confirm the existence of a curvature singularity for several cases where the scalar invariants constructed from the Riemann tensor, e.g., the Ricci scalar and the Kretschmann invariant, take finite values at the horizon. As a concrete example of the application, we show that the Kaluza-Klein black holes constructed by Myers have a curvature singularity at the horizon if the spacetime dimension is higher than five.Recently, the case of multi-center coplanar black hole and membrane horizons were studied in [44]. 3 In D ≥ 6, KK black holes with a S 1 compactified extra dimension do not have C 2 horizon [37].

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“…It is intended to understand the current status of the tensor distributions. Obtained distributions could be used for comparing them with theoretical model calculations and for proposing future experiments.The structure function b 1 is defined in the hadron tensor W µν [6,18]. It is expressed in term of tensor-polarized distributions (δ T q and δ Tq ) as [6,8,20] …”

mentioning

confidence: 99%

“…The structure function b 1 is defined in the hadron tensor W µν [6,18]. It is expressed in term of tensor-polarized distributions (δ T q and δ Tq ) as [6,8,20] …”

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confidence: 99%

Tensor-polarized quark and antiquark distribution functions in a spin-one hadron

Kumano

2010

Phys. Rev. D

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To understand orbital-angular-momentum contributions is becoming crucial for clarifying nucleonspin issue in the parton level. Twist-two structure functions b1 and b2 for spin-one hadrons could probe orbital-angular-momentum effects, which reflect a different aspect from current studies for the spin-1/2 nucleon, since they should vanish if internal constituents are in the S state. These structure functions are related to tensor structure in spin-one hadrons. Studies of such tensor structure will open a new field of high-energy spin physics. The structure functions b1 and b2 are described by tensor-polarized quark and antiquark distributions δT q and δTq. Using HERMES data on the b1 structure function for the deuteron, we made an analysis of extracting the distributions δT q and δTq in a simple x-dependent functional form. Optimum distributions are proposed for the tensor-polarized valence and antiquark distribution functions from the analysis. A finite tensor polarization is obtained for antiquarks if we impose a constraint that the first moments of tensorpolarized valence-quark distributions vanish. It is interesting to investigate a physics mechanism to create a finite tensor-polarized antiquark distribution.PACS numbers: 13.60.Hb, 13.88.+eOrigin of nucleon spin has been investigated extensively after the EMC discovery that almost none of nucleon spin is carried by quarks [1]. Recent studies of polarized parton distribution functions (PDFs) are found in Ref. [2]. Although a gluon-spin contribution is not determined accurately, orbital angular momenta are likely to be the crucial quantities in explaining the nucleon spin. Such contributions have been investigated recently by generalized parton distribution functions in lepton scattering [3] and will be studied possibly at hadron facilities [4].There are other quantities which are sensitive to the orbital angular momenta. For example, there are twisttwo structure functions b 1 and b 2 in spin-one hadrons [5,6]. They could be related to the orbital angular momenta of internal constituents because they vanish if the constituents are in the S wave. Of course, they probe a different aspect of orbital-angular-momentum effects from the current ones for the nucleon because they are related to tensor-structure nature of spin-one hadrons. It is noteworthy that tensor structure is not understood at all in the parton level, which suggests that a new field of spin physics should be created by investigating the tensor-polarized structure functions.New polarized structure functions (b 1 , b 2 , b 3 , and b 4 ) were introduced in describing lepton deep inelastic scattering from a spin-one hadron [5][6][7]. A useful sum rule for the twist-two function b 1 was proposed in Ref. [8], and it is partially used in this work. In conventional hadron models, such tensor structure arises due to the D-state admixture [5,6,9], pions [10], and shadowing effects [11] if the target is the deuteron. However, the tensor structure would not be simply described by such conventional models at high...

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Projections of structure functions in a spin-one hadron

Cited by 17 publications

References 36 publications

Black Holes in Higher Dimensions (Black Strings and Black Rings)

Black Holes in Higher Dimensions (Black Strings and Black Rings)

A simple diagnosis of non-smoothness of black hole horizon: curvature singularity at horizons in extremal Kaluza–Klein black holes

Tensor-polarized quark and antiquark distribution functions in a spin-one hadron

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