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A. Mukherjee

Publications and source records attributed to A. Mukherjee.

At least 91 records · Page 5Linked to original sources
arXiv2005

Next-to-leading order QCD corrections to single-inclusive hadron production in transversely polarized p-p and pbar-p collisions

We present a calculation of the next-to-leading order QCD corrections to the partonic cross sections contributing to single-inclusive high-p_T hadron production in collisions of transversely polarized hadrons. We use a recently developed projection technique for treating the phase space integrals in the presence of the cos(2Phi) azimuthal-angular dependence associated with transverse polarization. Our phenomenological results show that the double-spin asymmetry A_TT^pi for neutral-pion production is expected to be very small for polarized pp scattering at RHIC and could be much larger for the proposed experiments with an asymmetric pbar-p collider at the GSI

hep-ph↗
arXiv2005

Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness

We investigate the generalized parton distributions (GPDs) with non-zero $ξ$ and $Δ^\perp$ for a relativistic spin-1/2 composite system, namely for an electron dressed with a photon, in light-front framework by expressing them in terms of overlaps of light-cone wave functions. The wave function provides a template for the quark spin-one diquark structure of the valence light cone wave function of the proton. We verify the inequalities among the GPDs with different helicities and show the qualitative behaviour of the fermion and gauge boson GPDs in the impact parameter space.

hep-ph↗
arXiv2005

Double Transverse Spin Asymmetries at Next-to-leading Order in QCD

We present a technique to calculate the cross sections and spin asymmetries for transversely polarized $pp$ collisions at NLO in QCD and report on the use of this technique for the processes $p^{\uparrow} p^{\uparrow} \to γX$, $p^{\uparrow} p^{\uparrow} \to πX$ and $p^{\uparrow} p^{\uparrow} \to l^+ l^- X$.

hep-ph↗
arXiv2005

Impact Parameter Dependent Parton Distributions for a Composite Relativistic System

We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We take an effective two-body spin-1/2 state, namely an electron dressed with a photon in QED. We express the impact parameter dependent parton distributions in terms of overlaps of light-cone wave functions. We obtain the scale dependence of both fermion and gauge boson distributions and show the distortion of the pdfs in the transverse space for transverse polarization of the state at one loop level.

hep-ph↗
arXiv2004

Impact Parameter Dependent Parton Distributions for a Relativistic Composite System

We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We express them in terms of overlaps of light-cone wave functions for a self consistent two-body spin-1/2 state, namely an electron dressed with a photon in QED. The pdfs are distorted in the transverse space for transverse polarization of the state at one loop level.

hep-ph↗
arXiv2004

Accessing the Longitudinally Polarized Photon Content of the Proton

We investigate the QED Compton process (QEDCS) in longitudinally polarized lepton-proton scattering both in the elastic and inelastic channels and show that the cross section can be expressed in terms of the polarized equivalent photon distribution of the proton. We provide the necessary kinematical constraints to extract the polarized photon content of the proton using this process at HERMES, COMPASS and eRHIC. We also discuss the suppression of the major background process coming from virtual Compton scattering. We point out that such an experiment can give valuable information on $g_1(x_B, Q^2)$ in the small $x_B$, broad $Q^2$ region at the future polarized collider eRHIC and especially in the lower $Q^2$, medium $x_B$ region in fixed target experiments.

hep-ph↗
arXiv2004

Delineating the (Un)polarized Photon Content of the Nucleon

We investigate the QED Compton process (both elastic and inelastic) in unpolarized and longitudinally polarized electron-proton scattering. The cross section can be expressed in terms of the equivalent photon distribution of the proton. We provide the necessary kinematical cuts to extract the photon content of the proton at HERMES and eRHIC. We point out that such a process can give valuable information on $g_1(x_B, Q^2)$ in the small $x_B$, broad $Q^2$ region at eRHIC and especially in the lower $Q^2$, medium $x_B$ region in fixed target experiments.

hep-ph↗
arXiv2003

Quark Orbital Angular Momentum in the Wandzura-Wilczek Approximation

We show that quark orbital angular momentum is directly related to off-forward correlation functions which include intrinsic transverse momentum corresponding to a derivative with respect to the transverse coordinates. Its possible contribution to scattering processes is therefore of higher twist and vanishes in the forward limit. The relation of OAM to other twist 2 and 3 distributions known in the literature is derived and formalized by an unintegrated sum rule.

hep-ph↗
arXiv2003

Energy dependence of Cronin momentum in saturation model for $p+A$ and $A+A$ collisions

We calculate $\sqrt{s}$ dependence of Cronin momentum for $p+A$ and $A+A$ collisions in saturation model. We show that this dependence is consistent with expectation from formula which was obtained using simple dimentional consideration. This can be used to test validity of saturation model (and distinguish among its variants) and measure $x$ dependence of saturation momentum from experimental data.

hep-ph↗
arXiv2003

Double-transverse spin asymmetries at NLO

We report on a next-to-leading order QCD calculation of the cross section and the spin asymmetry for isolated large-p_T prompt photon production in collisions of transversely polarized protons. Corresponding measurements may be used at RHIC to determine the transversity parton distributions of the proton.

hep-ph↗
arXiv2003

Manifestly Covariant Analysis of the QED Compton Process in $e p\to e γp$ and $e p \to e γX$

We calculate the unpolarized QED Compton scattering cross section in a manifestly covariant way. Our approach allows a direct implementation of the specific kinematical cuts imposed in the experiments, {\it e. g.} HERA-H1. We compare the 'exact' cross section in terms of the structure functions $F_{1,2} (x_B,Q^2)$, assuming the Callan-Gross relation, with the one obtained using the equivalent photon approximation (EPA) as well as with the experimental results. We find that the agreement with the EPA is better in $x_γ$ bins, where $x_γ$ is the fraction of the longitudinal momentum of the proton carried by the virtual photon, compared to the bins in the leptonic variable $x_l$.

hep-ph↗
arXiv2003

Next-to-leading order QCD corrections to A_TT for prompt photon production

We present a next-to-leading order QCD calculation of the cross section for isolated large-p_T prompt photon production in collisions of transversely polarized protons. We devise a simple method of dealing with the phase space integrals in dimensional regularization in the presence of the cos(2 phi) azimuthal-angular dependence occurring for transverse polarization. Our results allow to calculate the double-spin asymmetry A_TT for this process at next-to-leading order accuracy, which may be used at BNL-RHIC to measure the transversity parton distributions of the proton.

hep-ph↗
arXiv2003

Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD

We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region $ξ< x <1$, we obtain the splitting functions for the evolutions of twist-two quark and gluon distributions in a straightforward way. For the twist-three distribution, we find that all contributions are proportional to the quark mass and thus the twist-three distribution is directly related to the chiral symmetry breaking dynamics in light-front QCD. We also show that the off-forward Wandzura-Wilczek relation is violated in perturbative QCD for a massive dressed quark.We calculate the quark mass correction to the WW relation in the off-forward case and show that it is related to $h_1(x)$ in the forward limit. We extract the 'genuine twist three' part of the matrix element in the forward case and verify the Burkhardt Cottingham and Efremov-Leader-Teryaev sum rules.

hep-ph↗
arXiv2002

A "Freely Coasting" Universe

A strictly linear evolution of the cosmological scale factor is surprisingly an excellent fit to a host of cosmological observations. Any model that can support such a coasting presents itself as a falsifiable model as far as classical cosmological tests are concerned. This article discusses the concordance of such an evolution in relation to several standard observations. Such evolution is known to be comfortably concordant with the Hubble diagram as deduced from current supernovae 1a data, it passes constraints arising from the age and gravitational lensing statistics and just about clears basic constraints on nucleosynthesis. Such an evolution exhibits distinguishable and verifiable features for the recombination era. The overall viability of such models is discussed.

astro-ph↗
arXiv2002

Off-forward Matrix Elements in Light-front Hamiltonian QCD

We investigate the off-forward matrix element of the light cone vector operator for a dressed quark state in light-front Hamiltonian perturbation theory. We obtain the corresponding splitting functions in a straightforward way. We show that the end point singularity is canceled by the contribution from the normalization of state. Considering mixing with the gluon operator, we verify the helicity sum rule in perturbation theory. We show that the quark mass effects are suppressed in the plus component of the matrix element but in the transverse component, they are not suppressed. We emphasize that this is a particularity of the off-forward matrix element and is absent in the forward case.

hep-ph↗
arXiv2001

Orientational and Translational Hopping in Supercooled Liquids and Glasses : Correlated Dynamics in a Free Energy Landscape

Orientational relaxation (OR) in a viscous, glassy liquid is investigated by carrying out extensive NPT molecular dynamics simulations of isolated ellipsoids in a glass forming binary mixture. Near the glass transition, the OR occurs mainly via hopping involving either a ring- or a tunnel like motion, with the participation of several neighboring atoms. In the glassy state, hopping is found to be accompanied by larger fluctuations in the total energy and the volume of the system. Both orientational and translational hopping are found to be {\it gated}, restricted primarily by the entropic bottlenecks, with orientation becoming increasingly slower than translation as the pressure is increased. OR is heterogeneous, with a wide distribution of decay times.

cond-mat.soft↗
arXiv2001

Classical string propagation in gravitational fields

The motion of a string in curved spacetime is discussed in detail. The basic formalism for string motion in Minkowski spacetime and in curved spacetime is presented. The description applies to cosmic strings as well as to fundamental strings. Major ansatze for solving the string equations of motion are reviewed. In particular, the ``null string ansatz'', which is relevant to strings in strong gravitational fields, is emphasised. The formalism is applied to the motion of strings in 5-dimensional Kaluza-Klein black hole backgrounds with electric and magnetic charge. Such background spacetimes have been of interest lately, particularly from the point of view of fundamental string theory. It is shown that interesting results, relating to the extra dimension as seen by the string, are obtained even at the classical level.

hep-th↗