S-wave π-production in nucleon-nucleon collisions: Finite-mass corrections

1970 ◽  
Vol 56 (2) ◽  
pp. 391-429 ◽  
Author(s):  
J.E Young
Keyword(s):  
2010 ◽  
Vol 25 (21n23) ◽  
pp. 1750-1753
Author(s):  
K. ARAI ◽  
S. AOYAMA ◽  
Y. SUZUKI

3 He + p scattering phase shifts for the S- and P-waves are studied in a microscopic cluster model in order to investigate the role of the d + 2p channel in the low-energy phase shifts. In the present cluster model, the description of the 3 He wave function is extended from a simple (0s)3 model to a three-body model and two different nucleon-nucleon interactions, the Minnesota and AV8' potentials, are employed. The present extended cluster model shows that the d + 2p channel is indispensable to reproduce the resonant phase shifts in the AV8' potential while it plays a minor role in the MN potential. On the contrary, the role of this channel in the S-wave non-resonant phase shifts is negligible in both potentials.


1992 ◽  
Vol 70 (4) ◽  
pp. 282-288 ◽  
Author(s):  
M. A. Hooshyar ◽  
T. H. Lam ◽  
M. Razavy

A new method of inversion of the S-wave scattering amplitude based on the Schwinger variational method is presented. This method is accurate and stable and is applicable to a number of interesting physical systems such as nucleon–nucleon or nucleon–nucleus scattering even when the data are known for a finite nonrelativistic range of energies. ⁁Examples of different scattering amplitudes and their corresponding potential functions are given to show the accuracy and the stability of the method.


2016 ◽  
Vol 94 (2) ◽  
pp. 231-235
Author(s):  
M.I. Sayyed

The s-wave time-independent Schrödinger equation with an isotropic velocity-dependent potential is considered. We have used perturbation theory to calculate the scattering phase shifts when the energy is changed by a small amount ΔE from an arbitrary unperturbed value E0. The validity of our results was tested by comparing the perturbed phase shifts to those obtained exactly by solving the Schrödinger equation. We assumed the local potential to have the form of a finite square well and the velocity-dependent part of the potential to have the form of a Yukawa potential.


2014 ◽  
Vol 23 (08) ◽  
pp. 1450039 ◽  
Author(s):  
U. Laha ◽  
J. Bhoi

By exploiting supersymmetry inspired factorization method nucleon–nucleon (n–n) potentials, both energy dependent and independent, in the partial waves 1P1 and 3P1 are generated by judicious use of appropriate ground state wave functions and interactions. The energy independent Hulthen and energy dependent equivalent local Yamaguchi potentials and their corresponding S-wave functions are used as the starting point of our calculation. The scattering phase shifts are computed for the constructed potentials through Phase Function Method (PFM) and compared with the standard results to examine the merit of our approach to the problem.


2011 ◽  
Vol 26 (16) ◽  
pp. 1231-1241 ◽  
Author(s):  
HONGXIA HUANG ◽  
HOURONG PANG ◽  
JIALUN PING

The nucleon–antinucleon interaction is studied by using resonating-group-method in the framework of two constituent quark models: the chiral quark model and the quark delocalization color screening model, which can give a good description of baryon properties and nucleon–nucleon interaction. The experimental data of proton–antiproton S-wave elastic scattering cross-section can be well reproduced by adjusting properly one-gluon annihilation coupling constant. With the fixed model parameters, a dynamical calculation of all possible S-wave nucleon–antinucleon states with channel-coupling is performed. The calculated results show that the effect of channel-coupling is not strong to form a bound state as indicated by a strong enhancement at threshold of [Formula: see text] in J/ψ radiative decay.


2010 ◽  
Vol 25 (25) ◽  
pp. 2155-2165 ◽  
Author(s):  
HONGXIA HUANG ◽  
JIALUN PING ◽  
HOURONG PANG ◽  
FAN WANG

To look for nonstrange dibaryon resonances, a systematic calculation of nucleon–nucleon scattering phase shifts of two interacting baryon clusters of quarks with explicit coupling to NΔ and ΔΔ states is done. Two phenomenological nonrelativistic quark models giving similar low-energy NN properties are found to give significantly different dibaryon resonance structures. In the chiral quark model, the dibaryon system does not resonate in the NNS waves. In the quark delocalization color screening model, the S wave NN resonances appear with nucleon size b = 0.6. There is a IJ = 12NΔ resonance state in the [Formula: see text] scattering phase shifts at 2168 MeV in this model. Both quark models give an IJ = 03 ΔΔ resonance, which is a promising candidate for the explanation of the ABC structure at ~ 2.36 GeV in the production cross section of the reaction pn → dππ by the CELSIUS-WASA collaboration. None of the quark models used has any bound NΔP states that might generate odd-parity resonances.


2019 ◽  
Vol 34 (39) ◽  
pp. 1950322
Author(s):  
Marcello Baldo ◽  
Zahra Asadi Aghbolaghi ◽  
Isaac Vidaña ◽  
Mohsen Bigdeli

It has been found in previous works [M. Baldo and K. Fukukawa, Phys. Rev. Lett. 113, 241501 (2014); K. Fukukawa, M. Baldo, G. F. Burgio, L. Lo Monaco and H.-J. Schulze, Phys. Rev. 92, 065802 (2015)] that the nucleon–nucleon potential of [Y. Fujiwara, M. Kohno, C. Nakamoto and Y. Suzuki Phys. Rev. C 64, 054001 (2001); Y. Fujiwara et al., Phys. Rev. C 65, 014002 (2001)] gives an accurate saturation point in symmetric nuclear matter once the three hole-line contributions are included in the Brueckner–Bethe–Goldstone expansion without the addition of three-body forces in the nuclear Hamiltonian. The potential is based on a quark model of nucleons and on the quark–quark interaction together with quark exchange processes. These features introduce an intrinsic nonlocality of the nucleon–nucleon interaction. In order to clarify the role of the quark degrees of freedom and of the nonlocality in the saturation, we perform a comparative study of this potential and the traditional meson exchange models, exemplified in the CD-Bonn potential. We find that at the Brueckner–Hartree–Fock approximation, which corresponds to the two hole-line level of approximation, the dominant modification of the nucleon–nucleon interaction with respect to CD-Bonn is incorporated in the s-wave channels, where the quark degrees of freedom should be more relevant, in particular for the short range quark exchange processes. However, when the three hole-line contribution is included, we find that the higher partial waves play a relevant role, mainly in the term that describes the effect of the medium on the off-shell propagation of the nucleon.


2008 ◽  
Vol 22 (25n26) ◽  
pp. 4524-4537 ◽  
Author(s):  
S. SARANGI ◽  
P. K. PANDA ◽  
S. K. SAHU ◽  
L. MAHARANA

We discuss here a self-consistent method to calculate the properties of the cold asymmetric nuclear matter. In this model, the nuclear matter is dressed with s-wave pion pairs and the nucleon-nucleon (N-N) interaction is mediated by these pion pairs, ω and ρ mesons. The parameters of these interactions are calculated self-consistently to obtain the saturation properties like equilibrium binding energy, pressure, compressibility and symmetry energy. The computed equation of state is then used in the Tolman-Oppenheimer-Volkoff (TOV) equation to study the mass and radius of a neutron star in the pure neutron matter limit.


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