CGC/Saturation Approach: Soft Interaction at the LHC Energies

Packing spheres efficiently in large dimension dd is a particularly difficult optimization problem. In this paper we add an isotropic interaction potential to the pure hard-core repulsion, and show that one can tune it in order to maximize a lower bound on the packing density. Our results suggest that exponentially many (in the number of particles) distinct disordered sphere packings can be efficiently constructed by this method, up to a packing fraction close to 7 \, d \, 2^{-d}7d2−d. The latter is determined by solving the inverse problem of maximizing the dynamical glass transition over the space of the interaction potentials. Our method crucially exploits a recent exact formulation of the thermodynamics and the dynamics of simple liquids in infinite dimension.

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Color mutation model of soft interaction in high energy hadronic collisions

Physical Review D ◽

10.1103/physrevd.59.114023 ◽

1999 ◽

Vol 59 (11) ◽

Cited By ~ 5

Author(s):

Zhen Cao ◽

Rudolph C. Hwa

Keyword(s):

High Energy ◽

Mutation Model ◽

Color Mutation ◽

Soft Interaction ◽

Hadronic Collisions

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Soft interaction at high energy andN= 4 SYM

Journal of High Energy Physics ◽

10.1088/1126-6708/2009/06/031 ◽

2009 ◽

Vol 2009 (06) ◽

pp. 031-031 ◽

Cited By ~ 7

Author(s):

E Levin ◽

I Potashnikova

Keyword(s):

High Energy ◽

Soft Interaction

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2SB1450 Molecular simulations of soft interaction between calcium pump and phospholamban(2SB Intrinsically Disordered Proteins:Structure,Property and Function,The 48th Annual Meeting of the Biophysical Society of Japan)

Seibutsu Butsuri ◽

10.2142/biophys.50.s9_5 ◽

2010 ◽

Vol 50 (supplement2) ◽

pp. S9

Author(s):

Yuji Sugita

Keyword(s):

Annual Meeting ◽

Molecular Simulations ◽

Calcium Pump ◽

Intrinsically Disordered ◽

Biophysical Society ◽

Soft Interaction ◽

And Function

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Ground-State Energy of a Weakly Interacting Bose Gas: Calculation Without Regularization

Zeitschrift für Naturforschung A ◽

10.1515/zna-2004-1-201 ◽

2004 ◽

Vol 59 (1-2) ◽

pp. 1-13 ◽

Cited By ~ 3

Author(s):

Christoph Weiss ◽

Martin Block ◽

Dave Boers ◽

André Eckardt ◽

Martin Holthaus

Keyword(s):

Ground State Energy ◽

Ground State ◽

Born Approximation ◽

State Energy ◽

Low Density ◽

Density Character ◽

Dilute Gas ◽

Bogoliubov Approximation ◽

Soft Interaction ◽

Additional Device

The textbook calculation of the ground-state energy of a dilute gas of Bose particles is examined in detail, and certain mathematical inconsistencies are pointed out. On the basis of this analysis, a refined approach suitable for soft interaction potentials which lend themselves to a low-order Born approximation is developed. This procedure emphasizes the low-density character of the resulting formula for the ground-state energy, and avoids all divergent expressions at intermediate stages of the computation. It is stressed that the standard Bogoliubov approximation, if not augmented by some additional device, leads to an error which manifests itself already in the lowest order of the density. - PACS 03.75.Hh, 05.30.Jp, 03.65.Nk.

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