scholarly journals Using the Beth–Uhlenbeck Approach to Describe the Kaon to Pion Ratio in a 2 + 1 Flavor PNJL Model

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 169-177
Author(s):  
David Blaschke ◽  
Alexandra Friesen ◽  
Yuri Kalinovsky ◽  
Andrey Radzhabov

The kaon to pion ratios are discussed in the framework of a 2 + 1 flavor PNJL model. In order to interpret the behavior of bound states in medium, the Beth–Uhlenbeck approach is used. It is shown that, in terms of phase shifts in the K + channel, an additional low-energy mode could appear as a bound state in medium, since the masses of the quark constituents are different. The comparison with experimental data for the ratios is performed and the influence of the anomalous mode to the “horn” effect in the K + / π + ratio is discussed.

1976 ◽  
Vol 54 (3) ◽  
pp. 322-332
Author(s):  
A. Z. Capri ◽  
D. Menon ◽  
R. Teshima

The two-nucleon interaction, via the exchange of scalar mesons, is examined in a nonperturbative manner. 'Schrödinger' equations are derived, and nonlocal potentials arise naturally. Both scattering and bound states are examined. A half-off-shell T matrix is obtained, and corresponding phase shifts are evaluated. In the bound state, a variational calculation is employed to determine the coupling constant.


1992 ◽  
Vol 07 (21) ◽  
pp. 5155-5163
Author(s):  
T. CHHABRA ◽  
P. RAM BABU

We relate the observables of [Formula: see text] scatterings, e+e−→μ+μ− and [Formula: see text] to look for the existence of new neutrinos coupling to the second Z boson. The observables in νe scattering and [Formula: see text] are sensitive to the presence of new neutrinos, and the ones in e+e−→μ+μ− are sensitive to additional Z bosons. Hence the relations between low energy observables of these reactions can be used to test the existence of new neutrinos coupling to the standard Z boson and/or the second Z boson. From available experimental data, the mass and coupling strengths of the second Z boson are constrained in a model-independent way.


1995 ◽  
Vol 10 (06) ◽  
pp. 801-806 ◽  
Author(s):  
U. AGLIETTI

The effective theory for heavy quarks has additional symmetries with respect to QCD, which relate charm and beauty hadron masses. Assuming the spectrum of charmed particles, we predicted in a previous work the masses of some beauty particles. The predictions of the Λb mass, M (Λb) = 5630 MeV , and of the Bs mass, M (Bs) = 5379 MeV , are in agreement with present experimental data. We continue this work using recent experimental data on charm hadron masses. The results are: M (Σb) = 5822±6 MeV , [Formula: see text], M (Ωb) = 6080±7 MeV , [Formula: see text], [Formula: see text], [Formula: see text]. When experimental data for beauty hadron masses are available, a comparison with the theoretical values allows a quantitative estimate of the corrections to the static theory, which contain information on hadron dynamics at low energy.


1962 ◽  
Vol 15 (2) ◽  
pp. 174 ◽  
Author(s):  
AF Nicholson

The bound-state and scattering wavefunctions for a particle moving in a central r-2 potential are investigated. There are no discrete bound states: the discrete states which result when an infinite repulsive core is introduced are specified. The scattering wavefunctions which satisfy physical requirements such as zero net outflow of particles from the scattering region are found. The phase-shifts at are independent of energy and for large I to go to zero as (21+ 1)-1.


2011 ◽  
Vol 26 (15) ◽  
pp. 2503-2521 ◽  
Author(s):  
C. R. DAS ◽  
C. D. FROGGATT ◽  
L. V. LAPERASHVILI ◽  
H. B. NIELSEN

The present paper is based on the assumption that heavy quarks bound states exist in the Standard Model (SM). Considering New Bound States (NBS) of top–antitop quarks (named T-balls) we have shown that: (1) there exists the scalar 1S-bound state of [Formula: see text]; (2) the forces which bind the top-quarks are very strong and almost completely compensate the mass of the twelve top–antitop-quarks in the scalar NBS; (3) such strong forces are produced by the Higgs–top-quarks interaction with a large value of the top-quark Yukawa coupling constant gt≃1. Theory also predicts the existence of the NBS [Formula: see text], which is a color triplet and a fermion similar to the t'-quark of the fourth generation. We have also considered the "b-quark-replaced" NBS, estimated the masses of the lightest fermionic NBS: M NBS ≳300 GeV , and discussed the larger masses of T-balls. We have developed a theory of the scalar T-ball's condensate and predicted the existence of three SM phases. Searching for heavy quark bound states at the Tevatron and LHC is discussed. We have constructed the possible form-factors of T-balls, and estimated the charge multiplicity coming from the T-ball's decays.


2014 ◽  
Vol 26 ◽  
pp. 1460123
Author(s):  
D. R. ENTEM ◽  
P. G. ORTEGA ◽  
F. FERNÁNDEZ

We use a chiral constituent quark model to study possible molecular structures in the heavy baryon spectrum. We first analyze D*N states and we find a bound state in the JP = 3/2- sector with an small binding energy. This state can be identified with the Λc(2940)+. The decays of this state are compatible with the existent experimental data. As a by product a state is predicted in the bottom baryon spectrum as a [Formula: see text] state with a mass around 6250 MeV. Moreover we also analyze other DN, D*N, DΔ and D*Δ states and their analogs in the bottom baryon sector finding several bound states.


1977 ◽  
Vol 55 (4) ◽  
pp. 293-296
Author(s):  
Kim Maltman ◽  
E. W. Vogt

An upper bound for the low energy production rate of π+ π− atomic bound states in NN collisions is obtained and used to investigate the feasibility of taking π π scattering lengths from the X rays of this system.


2016 ◽  
Vol 31 (32) ◽  
pp. 1650168 ◽  
Author(s):  
H. B. Nielsen

We have long speculated,[Formula: see text] that 6 top + 6 antitop quarks due to the relatively large size of the top-Yukawa coupling would bind exceptionally strongly by mainly Higgs exchange. Here we present a surprisingly simple “calculation” of the mass of this speculated bound state. Even a possible resonance in scattering of two such bound states is speculated. For the “calculation” of the masses it is crucial to assume, that our since long speculated principle “multiple point principle,”[Formula: see text] is true. This principle says: there are several vacua all having almost zero energy density. Further, we make an approximation of the Higgs Yukawa potential essentially replacing the exponential in it by a step-function. The new result means that there are now two independent calls for our bound state having the mass around 750 GeV required by our “new law of nature” the Multiple Point Principle. It should be remarked that in our picture there is no new physics in the sense of new fundamental particles, but the “multiple point principle” is new in the sense of being not yet accepted. Further, we get the same mass within uncertainties as earlier2 but now from a completely different assumption, except for being from our “multiple point principle.” But the two masses are gotten from using different (speculative) vacua occurring in the pure Standard Model.


2017 ◽  
Vol 26 (04) ◽  
pp. 1750012 ◽  
Author(s):  
Tochtli Yepez-Martinez ◽  
Osvaldo Civitarese ◽  
Peter O. Hess

The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a previous work. The numerical calculations were then restricted to a particle–hole (ph) space and the comparison with experimental data was reasonable in spite of the complexity of the QCD spectrum at low energy. Here on, we continue along this line of research and show our new results of the treatment of the QCD Hamiltonian in the SO(4) representation, including ground state correlations by means of the Random Phase Approximation (RPA). We are able to identify, within this model, states which may be associated to physical pseudo-scalar and vector mesons, like [Formula: see text], as well as the pion ([Formula: see text]).


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