Regge trajectories associated with nonordinary mesons do not, however, have to be linear. A regge trajectory for the dibaryon system springerlink. Modifications in the equations of regge trajectories are shown for mesonic as well as baryonic systems. A multiquark approach to excited hadrons and regge. Regge trajectory article about regge trajectory by the free. An introduction to regge theory and high energy physics by. In string theory, the trajectories are linear when they are longlived, but the.
Then the orbital and radial regge trajectories for the mesons consisting of unequally massive quarks are obtained from the qsse by employing the bohrsommerfeld quantization approach, 34, which have the same form as the regge trajectories for heavy quarkonia obtained in ref. Reggeplusresonance predictions for neutralkaon photoproduction from the deuteron p. It is used instead of sor u because regge poles generally arise in this channel. How exactly does linear regge trajectories imply stability. The glueball regge trajectory from the stringinspired theory. The crown prince of reggae, dennis emanuel brown, was jamaican musics most consistently popular performer. Analytic model of a regge trajectory in the spacelike and. Classically, a spinning string yields a linear regge trajectory with zero intercept.
In contrast to an existing belief, it is demonstrated that for the asymptotically linear. Dispersive calculation of complex regge trajectories for the lightest. The regge limit of gaugetheory amplitudes and cross sections is a powerful theory tool for the study of fundamental interactions. This is done by exploring the analogy between mellin amplitudes in adscft and smatrix elements. Regge trajectories associated with non ordinary mesons do not, however, have to be linear. Nonlinearity of regge trajectories in the scattering region.
By performing a semiclassical analysis we find that quantum. Supported in part by the national science foundation. For mesonic systems, the regge trajectories get modified, but still remain linear. For massive quarks our trajectories qualitatively capture the nonlinearity detected in. The applicability of the brst approach to the description of a single regge trajectory without its daughter trajectories is discussed. For light quarks the regge trajectories of mesons are essentially linear. The tted trajectory deviates considerably from a linear one both in the spacelike and timelike regions, matching nicely between the two. The corresponding masses are for the even spins, trajectory describes mesons. Pdf modifications to the hadronic regge trajectories. Coupling regularity and regge trajectory, progress of theoretical physics, volume 45, issue 2, 1 february 1971, pages 656658, ht we use cookies to enhance your experience on our website. The effect of quark mass on the regge trajectory is. Treacy research school of physical sciences, australian national university, canberra received 17 november 1964 the problem of lineshapes of nuclear levels near thresholds1 provides a critical test of theories of resonance reactions. Its a shame that its hard to find introductions to regge trajectories on the net. Regge trajectories for heavy quarkonia from the quadratic.
The effect of quark mass on the regge trajectory is analysed. Real and virtual compton scattering in a regge approach. Pdf the regge law for heavenly bodies researchgate. Norbury physics department, university of wisconsin milwaukee, p. This regge trajectory for the pomeron is represented in fig.
Kayoko awaya, masayuki kaiba, coupling regularity and regge trajectory, progress of theoretical physics, volume 45, issue 2, february 1971, pages 656658. It is also shown that their nonlinearity is essential and not to be ignored. If the large majority of the meson regge trajectories are concave while a few. A regge trajectory for energy levels in be8 sciencedirect. A dual regge model with a nonlinear proton regge trajectory in the missing mass channel, describing the experimental data on lowmass single diffraction. Even though a naive extrapolation of the linear regge trajectory on flat space implies a violation of the higuchi bound a unitarity bound on the. Our work provides a string theoretical derivation, via the gaugestring correspondence, of a phenomenological model describing the meson as rotating pointlike massive particles connected by a flux string. Regge trajectories can be simply derived from the conservation of angular momentum in hyperbolic space. Regge trajectories of the baryons calculated by our model are shown by the solid lines and the corrected trajectories by the potential term eq. We attempt to obtain realistic glueball regge trajectories from the gaugestring correspondence. These backgrounds represent two embeddings of n1 sym, in the large rank limit, in string theory. We study the properties of the leading regge trajectory in open string theory including the open string planar oneloop corrections. Modifications to the hadronic regge trajectories modern.
By continuing to use our website, you are agreeing to our use of cookies. Presentation mode open print download current view. Calling az,lzo the leading and the secondary regge trajectory intercept, we estimated the distance aoto otio oqio 4 from data not very precise and phenomenolog ical models. Regge trajectory article about regge trajectory by the. Coupling regularity and regge trajectory progress of. We apply the new formalism to the case of four point correlation. Sep 19, 2012 we generalize regge theory to correlation functions in conformal field theories. The case of our d regge exchange, both for d and cproduction, is considered in some detail. Regge theory was basically a phenomenological theory of hadronhadron scatteri. For full access to this pdf, sign in to an existing account, or purchase an annual subscription.
A regge trajectory j k2 is also sometimes expressed as j e, or more commonly in terms of the mandelstam variable tas j t. We next consider secondary regge trajectories and splitting between the energy levels for same j of a given system. Spectrum and regge trajectories in qcd springerlink. Regge trajectories revisited in the gaugestring correspondence. On the brst approach to the description of a regge trajectory. A model for a regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with. The idea of nonlinear regge trajectories is not new. Mar 19, 2018 in this paper, we present one new form of the regge trajectories for heavy quarkonia which is obtained from the quadratic form of the spinless salpetertype equation qsse by employing the bohrsommerfeld quantization approach.
Within that framework, gabriele veneziano formulated his selfconsistent scattering amplitude, the. It is a vast field of research, encompassing perturbative and non. Meson regge trajectories relate resonance spins j to the square of their masses and for. The effect of quark mass on the regge trajectory is analyzed. The free field theory for regge trajectory is described in the framework of the brst quantization method. Klebanovstrassler ks and maldacenanunez mn which are dual to confining gauge theories. The good fitting of the experimental data by the regge trajectory. Early chewfrautschi plots show that meson and baryon regge trajectories are approx imately linear and nonintersecting. This glueball trajectory has an intercept and slope similar to that of the pomeron trajectory.
The regge regime requires relativistic motion of the string, that is, x 1. Ryckebusch department of physics and astronomy, ghent university, proeftuinstraat 86. The regge trajectory function appears in the exponent, so you have to take a log to extract it. A model for a regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with analyticity constraints is given in explicit form. To this end we study closed spinning string configurations in two supergravity backgrounds. Validation of the hadron mass quantization from experimental. In the process, we develop the conformal partial wave expansion in mellin space, elucidating the analytic structure of the partial amplitudes. The glueball regge trajectory from the stringinspired. Figure illustrating the two trajectories of masssquared against spin. Jan 14, 2016 instant unlimited access to the full article pdf. We generalize regge theory to correlation functions in conformal field theories.
Tullios ideas inspired the formulation of a theory in which hadrons are bound states lying on regge trajectories. The regge trajectory describes thus states with alternating parities and this agrees with the phenomenology. Through analytic continuation of physical trajectories obtained from resonance data into the space like region, we derive the suppression factor for heavy. Nov 20, 2003 we attempt to obtain realistic glueball regge trajectories from the gaugestring correspondence. We apply the new formalism to the case of four point correlation functions. Regge trajectories may be considered as building blocks in the framework of. Regge trajectories for mesons in the holographic dual.
Consequently it is desirable that we take the same bag parameters as those of the mit bag model. Pdf asymptotic regge trajectories of nonstrange mesons. Such an exponent, a function of the energy squared, defines a regge trajectory. The physical spectrum includes daugther trajectories along with parent one. The quadratic red line is the higuchi bound, while the linear blue line is the string regge trajectory. We analyze the asymptotic behavior of regge trajectories of nonstrange mesons. Pomeron and odderon regge trajectories from a dynamical. Concavity of the meson regge trajectories sciencedirect. A note on string excitations and the higuchi bound. Laget ceasaclay, dapniasphn f91191 gif sur yvette cedex, france abstract we study real and deeply virtual compton scattering in a model based on regge trajectories and twogluon exchange. These backgrounds represent two embeddings of n1 sym, in the large rank limit, in string. Over 10 million scientific documents at your fingertips.
Though many general properties are now well understood, few detailed models are available. With sun chanpaton factors, the sum over planar open string multiloop diagrams describes the t hooft limit n\to\infty. It is of particular interest to learn about trajectories that escape the treatment given, for instance, in ref. Contrary to the mesonic case, the regge trajectories for baryonic systems indicate nonlinearity. The path followed by a regge pole in the complex angular momentum plane as the centerofmass energy is varied. Meson regge trajectory of the n 1, s 1 third triplet states. An introduction to regge theory and high energy physics. For massive quarks our trajectories qualitatively capture the nonlinearity detected in lattice calculations. The fitted results by using the regge trajectories eq. You might try a post on the subject comparing them to koides mass formula on my blog because i think theres a reasonable explanation, and some links to other sources of information on them. The reference scale s0 is chosen to be 1 gev2 and the regge trajectory is. Subsequent comprehensive analysis by vasavada, combining both regge poles and cuts, arrived at. Regge trajectories in the developed model are nonlinear for small masses and the.
Assuming that these masses lie on linear regge trajectories we find a leading glueball trajectory. Why is it clear that it has a representation like the above, without a cut contribution at negative s. A model for a regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with mandelstam analyticity is. In the late60s, by introducing regge cuts, through the eikonal method, a number of authors have shown that the e ective trajectory for large momentum transfer. Many artists achieve fame and adulation after their death but dennis brown earned an unparalleled amount of love and devotion during his life time. The principal meson regge trajectory is accompanied by the daughter trajectories following with the step. The famous chewfrautschi plots of the regge trajectories provide a useful way of hadron classification. Modifications to the hadronic regge trajectories mahe. Feb 10, 2008 its a shame that its hard to find introductions to regge trajectories on the net.
684 48 1224 1092 1503 33 1179 711 1153 1101 1245 407 1405 1443 533 150 345 1353 316 683 944 791 916 378 1449 1303 1214 937 1480 381 17