ar X iv : 1 21 0 . 39 89 v 3 [ m at h . C O ] 2 5 M ay 2 01 3 A stability result for balanced

ar X iv : h ep - p h / 02 05 01 6 v 1 2 M ay 2 00 2 Scalar a 0 ( 980 ) meson in φ → π 0 ηγ decay

ar X iv : m at h / 04 11 14 0 v 2 [ m at h . N T ] 4 M ay 2 00 5 THE 3 x + 1 SEMIGROUP

The 3x + 1 semigroup is the multiplicative semigroup S of positive rational numbers generated by { 2k+1 3k+2 : k ≥ 0} together with {2}. This semigroup encodes backwards iteration under the 3x + 1 map, and the 3x + 1 conjecture implies that it contains every positive integer. This semigroup is proved to be the set of positive rationals a b in lowest terms with b 6≡ 0( mod 3), and so contains al...

ar X iv : h ep - p h / 07 01 08 5 v 3 1 5 M ay 2 00 7 Light - cone sum rules for the Nγ ∆ transitions for real photons

We examine the radiative ∆ → γN transition at the real photon point Q 2 = 0 using the framework of light-cone QCD sum rules. In particular, the sum rules for the transition form factors G M (0) and R EM are determined up to twist 4. The result for G M (0) agrees with experiment within 10% accuracy. The agreement for R EM is also reasonable. In addition, we derive new light-cone sum rules for th...

ar X iv : h ep - p h / 01 05 15 0 v 1 1 5 M ay 2 00 1 SUNY - NTG - 01 - 07 High Density Quark Matter under Stress

We study the effect of SU (3) flavor breaking on high density quark matter. We discuss, in particular, the effect a non-zero electron chemical potential and a finite strange quark mass. We argue that these perturbations trigger pion or kaon condensation. The critical chemical potential behaves as µ e ∼ √ mm s ∆/p F and the critical strange quark mass as m s ∼ m 1/3 ∆ 2/3 , where m is the light ...

ar X iv : h ep - t h / 06 03 01 4 v 2 3 1 M ay

Radion stabilization is analyzed in 5–dimensional models with branes in the presence of Gauss–Bonnet interactions. The Goldberger–Wise mechanism is considered for static and inflating backgrounds. The necessary and sufficient conditions for stability are given for the static case. The influence of the Gauss–Bonnet term on the radion mass and the inter–brane distance is analyzed and illustrated ...