scholarly journals A mesonic analog of the deuteron

2014 ◽  
Vol 23 (12) ◽  
pp. 1450091 ◽  
Author(s):  
Richard R. Silbar ◽  
T. Goldman
Keyword(s):  
Binding Energy ◽  
Internal Structure ◽  
B Meson ◽  
D Meson ◽  
Bound State ◽  
Variational Calculation ◽  
State Structure ◽  
Structure Changes ◽  
Quark Structure ◽  
Hadronic System

Using the LAMP model for nuclear quark structure, we calculate the binding energy and quark structure of a B meson merging with a D meson. Our variational calculation shows that a molecular, deuteron-like state structure changes rather abruptly, as the separation between the two mesons decreases, and at a separation of about 0.14 fm, the hadronic system transforms into a four-quark bound state, although one maintaining an internal structure rather than that of a four-quark "bag." Unlike the deuteron, pion exchange does not provide any contribution to the ≈ 150 MeV binding.

VARIATIONAL CALCULATION OF K-pp WITH CHIRAL SU(3)-BASED $\bar KN$ INTERACTION

2010 ◽  
Vol 19 (12) ◽  
pp. 2618-2623 ◽  
Author(s):  
A. Doté ◽  
T. Hyodo ◽  
W. Weise
Keyword(s):  
Binding Energy ◽  
Decay Width ◽  
Bound State ◽  
Variational Calculation ◽  
State Solution ◽  
P Wave ◽  
Bound State Solution ◽  
Mesonic Decay ◽  
Nuclear Cluster ◽  
Text Interaction

The prototype of a [Formula: see text] nuclear cluster, K-pp, has been investigated using effective [Formula: see text] potentials based on chiral SU (3) dynamics. Variational calculation shows a bound state solution with shallow binding energy B(K-pp) = 20 ± 3 MeV and broad mesonic decay width [Formula: see text]. The [Formula: see text] pair in the K-pp system exhibits a similar structure as the Λ(1405). We have also estimated the dispersive correction, p-wave [Formula: see text] interaction, and two-nucleon absorption width.

scholarly journals An event excess observed in the deeply bound region of the 12C (K−, p) missing-mass spectrum

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yudai Ichikawa ◽  
Junko Yamagata-Sekihara ◽  
Jung Keun Ahn ◽  
Yuya Akazawa ◽  
Kanae Aoki ◽  
...  
Keyword(s):  
Mass Spectrum ◽  
Binding Energy ◽  
Decay Channel ◽  
Peak Shift ◽  
Bound State ◽  
Elastic Peak ◽  
Missing Mass ◽  
Decay Modes ◽  
Kaon Momentum ◽  
First Time

Abstract We have measured, for the first time, the inclusive missing-mass spectrum of the $^{12}$C$(K^-, p)$ reaction at an incident kaon momentum of 1.8 GeV/$c$ at the J-PARC K1.8 beamline. We observed a prominent quasi-elastic peak ($K^-p \rightarrow K^-p$) in this spectrum. In the quasi-elastic peak region, the effect of secondary interaction is apparently observed as a peak shift, and the peak exhibits a tail in the bound region. We compared the spectrum with a theoretical calculation based on the Green’s function method by assuming different values of the parameters for the $\bar{K}$–nucleus optical potential. We found that the spectrum shape in the binding-energy region $-300 \, \text{MeV} < B_{K} < 40$ MeV is best reproduced with the potential depths $V_0 = -80$ MeV (real part) and $W_0 = -40$ MeV (imaginary part). On the other hand, we observed a significant event excess in the deeply bound region around $B_{K} \sim 100$ MeV, where the major decay channel of $K^- NN \to \pi\Sigma N$ is energetically closed, and the non-mesonic decay modes ($K^- NN \to \Lambda N$ and $\Sigma N$) should mainly contribute. The enhancement is fitted well by a Breit–Wigner function with a kaon-binding energy of 90 MeV and width 100 MeV. A possible interpretation is a deeply bound state of a $Y^{*}$-nucleus system.

scholarly journals T: A three B-meson bound state

2018 ◽  
Vol 784 ◽  
pp. 169-172 ◽  
Author(s):  
H. Garcilazo ◽  
A. Valcarce
Keyword(s):  
B Meson ◽  
Bound State

The interaction of alpha-particles and the binding energy of 8Be

1952 ◽  
Vol 48 (4) ◽  
pp. 652-664 ◽  
Author(s):  
S. F. Edwards
Keyword(s):  
Binding Energy ◽  
Yukawa Potential ◽  
Variational Calculation ◽  
Alpha Particles ◽  
Particle Model ◽  
Heavy Nuclei ◽  
Single Particles ◽  
Body Type ◽  
Gaussian Potential ◽  
Direct Use

AbstractA calculation of the binding energy of 8Be is given, based upon the separation of the eight nucleons into two groups of four, using Gaussian functions and a Yukawa central force. The calculation is considerably simplified by the use of an integral identity between the Gaussian potential and the Yukawa potential. The energy is calculated with a Gaussian potential, and the identity used to convert the result to that which would have been obtained by direct use of the Yukawa potential. The results of the variational calculation show that unless the saturation conditions usually adopted in the theory of heavy nuclei are abandoned, there can be no binding, confirming an earlier result of Margenau, obtained with a Gaussian potential. The results do not depend essentially on the range of the force, nor on the central two-body type of force adopted. When the old saturation conditions are abandoned, quite reasonable results are obtained. The magnitude of the energies due to the exchange of single particles and pairs of particles indicates that the force between alpha-particles is not additive. A discussion of the saturation conditions and of the alpha-particle model in the light of the results is given.

Variational calculation of the bound-state wavefunction in strongly coupled QED

1986 ◽  
Vol 176 (1-2) ◽  
pp. 195-198 ◽  
Author(s):  
Roman Koniuk ◽  
Jurij W. Darewych
Keyword(s):  
Bound State ◽  
Variational Calculation ◽  
Strongly Coupled

scholarly journals LORENTZ BOOSTED NN POTENTIAL FOR FEW-BODY SYSTEMS: APPLICATION TO THE THREE-NUCLEON BOUND STATE

2003 ◽  
Vol 18 (02n06) ◽  
pp. 124-127 ◽  
Author(s):  
H. KAMADA ◽  
W. GLÖCKLE ◽  
J. GOLAK ◽  
CH. ELSTER
Keyword(s):  
Quantum Mechanics ◽  
Binding Energy ◽  
Schrodinger Equation ◽  
Relativistic Quantum ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Relativistic Quantum Mechanics ◽  
Equal Time ◽  
Momentum Change ◽  
Approximate Scheme

In the context of equal time relativistic quantum mechanics we introduce a Lorentz boosted potential. The dynamical input are nonrelativistic realistic nucleon-nucleon (NN) potentials, which by a suitable momentum change are analytically transformed into NN potentials fulfilling the relativistic two-nucleon Schrödinger equation in the c.m. system. The binding energy of the three nucleon (3N) bound state is calculated and we find that the boost effects for the two-body subsystems are repulsive and lower the binding energy. In addition we compare to a recently proposed approximate scheme.

scholarly journals WHAT COULD BE LEARNT FROM POSITRONIUM FOR QUARKONIUM?

2004 ◽  
Vol 19 (23) ◽  
pp. 3905-3917 ◽  
Author(s):  
CHRISTOPHER SMITH
Keyword(s):  
Binding Energy ◽  
Bound State ◽  
State Decay ◽  
Positronium Decay

In order to fulfill Low's theorem requirements, a new lowest order basis for bound state decay computations is proposed, in which the binding energy is treated non-perturbatively. The properties of the method are sketched by reviewing standard positronium decay processes. Then, it is shown how applying the method to quarkonia sheds new light on some longstanding puzzles.

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