%0 Generic %1 Das2014Estimation %A Das, Tapas %D 2014 %K quantum %T Estimation of mass spectra and size of heavy quarkonium using N-dimensional Schrödinger equation with Killingbeck potential model via Laplace transform approach %U http://arxiv.org/abs/1408.6139 %X The second order N-dimensional Schrödinger equation with Killingbeck potential, namely V (r) = ar^2 + br -c/r ; a > 0 is examined via Laplace transform approach.The stationary states are determined by good behavior of eigenfunctions at the origin and at infinity. Energy eigenvalue equation has been used to determine the mass spectra of heavy quarkonium system, specially for lower dimension N = 3. The eigenfunctions are used to determine the radii of the bound states.The present results suggest that the bound states 1P; 2S; 3S of (\Upsilon(bb),\psi(cc)) are more tightly bound than they are supposed in non relativistic hadronic study.

@misc{Das2014Estimation, abstract = {The second order N-dimensional Schr\"odinger equation with Killingbeck potential, namely V (r) = ar^2 + br -c/r ; a \> 0 is examined via Laplace transform approach.The stationary states are determined by good behavior of eigenfunctions at the origin and at infinity. Energy eigenvalue equation has been used to determine the mass spectra of heavy quarkonium system, specially for lower dimension N = 3. The eigenfunctions are used to determine the radii of the bound states.The present results suggest that the bound states 1P; 2S; 3S of (\Upsilon(b\bar{b}),\psi(c\bar{c})) are more tightly bound than they are supposed in non relativistic hadronic study.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Das, Tapas}, biburl = {https://www.bibsonomy.org/bibtex/284171d28027d4a0a4be90a0eab656d22/cmcneile}, citeulike-article-id = {13342421}, citeulike-linkout-0 = {http://arxiv.org/abs/1408.6139}, citeulike-linkout-1 = {http://arxiv.org/pdf/1408.6139}, day = 25, eprint = {1408.6139}, interhash = {484a318d0e82ebe4c4f17f98d6445b75}, intrahash = {84171d28027d4a0a4be90a0eab656d22}, keywords = {quantum}, month = aug, posted-at = {2014-09-01 10:05:03}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Estimation of mass spectra and size of heavy quarkonium using N-dimensional Schr\"odinger equation with Killingbeck potential model via Laplace transform approach}}, url = {http://arxiv.org/abs/1408.6139}, year = 2014 }