Calculating the energy of electron in H-atom using modified SUSY physics

In this paper considering the authors previously proposed SUSy concept ‘fermion and boson mass ratio is close to 2.26’ and considering the electroweak neutral boson, an attempt is made to understand the total energy of revolving electron in the hydrogen atom. thus in this paper authors succeeded in extending the basic applications of SUSy and electroweak theory to atomic level. With further research and analysis, the hidden secrets of electroweak unification can be understood very easily.


IntrodUCtIon
In the earlier published papers the authors proposed that, any fermion and its corresponding boson mass ratio is close to 2.26 but not unity [1][2][3][4][5][6][7]. In this paper an attempt is made to understand the total energy of revolving electron in hydrogen atom with the help of SUSy and neutral electroweak boson. In this new proposal it is noticed that, bosonic form of the electron, bosonic form of the proton and neutral weak boson play a crucial role. the two interesting things are -revolving electron's total is a function of geometric mean mass of proton and electron and is independent of the reduced Planck's constant. But in order to understand the discrete nature of hydrogen spectrum it seems to be a must to consider the concept -"maximum number of electrons in a shell = 2n 2 where n = 1,2,3,..".
Calculating the energy of electron in h-atom using modified SUSy physics automatically, and the result is said to be a theory of supergravity. It is also a feature of a candidate of a theory of everything, superstring theory.

CUrrent StAtUS of SUSY
the Large hadron Collider at CeRN is currently producing the world's highest energy collisions and offers the best chance at discovering superparticles for the foreseeable future. As of September 2012, no meaningful signs of the superpartners have been observed. the failure of the Large hadron Collider to find evidence for supersymmetry has led some physicists to suggest that the theory should be abandoned. experiments with the Large hadron Collider yielded an extremely rare particle decay event, casting doubt on the scientific theory of supersymmetry. Supersymmetry differs notably from currently known symmetries in that its corresponding conserved charge (via Noether's theorem) is a fermion called a supercharge and carryingspin-1/2, as opposed to a scalar (spin-0) or vector (spin-1). A supersymmetry may also be interpreted as new fermionic (anticommuting) dimensions of spacetime, superpartners of the usual bosonic spacetime coordinates, and in this formulation the theory is said to live in superspace.
Currently there is only indirect evidence for the existence of supersymmetry, primarily in the form of evidence for gauge coupling unification. A central motivation for supersymmetry close to the teV energy scale is the resolution of the hierarchy problem of the Standard Model. Without the extra supersymmetric particles, the higgs boson mass is subject to quantum corrections which are so large as to naturally drive it close to the Planck mass barring its fine tuning to an extraordinarily tiny value. In the supersymmetric theory, on the other hand, these quantum corrections are canceled by those from the corresponding superpartners above the supersymmetry breaking scale, which becomes the new characteristic natural scale for the higgs mass. Other attractive features of teV-scale supersymmetry are the fact that it often provides a candidate dark matter particle at a mass scale consistent with thermal relic abundance calculations, provides a natural mechanism for electroweak symmetry breaking and allows for the precise high-energy unification of the weak, the strong and electromagnetic interactions. therefore, scenarios where supersymmetric partners appear with masses not much greater than 1 teV are considered the most well-motivated by theorists. these scenarios would imply that experimental traces of the superpartners should begin to emerge in high-energy collisions at the LhC relatively soon. As of 2012, no meaningful signs of the superpartners have been observed, which is beginning to significantly constrain the most popular incarnations of supersymmetry [13].

WeAK InterACtIon
In particle physics, the weak interaction is the mechanism responsible for the weak force or weak nuclear force, one of the four fundamental interactions of nature, alongside the strong interaction, electromagnetism, and gravitation [14]. the theory of the weak interaction is sometimes called quantum flavordynamics (QFD), in analogy with the terms QCD and QeD, but in practice the term is rarely used because the weak force is best understood in terms of electro-weak theory (eWt). In the Standard Model of particle physics the weak interaction is caused by the emission or absorption of Wand Z bosons [15,16]. All known fermions interact through the weak interaction. Fermions are particles one of whose properties, spin, is a halfinteger. A fermion can be an elementary particle, such as the electron; or it can be a composite particle, such as the proton. W and Z bosons are much heavier than protons or neutrons and this heaviness means that the weak force has a very short range. the force is termed 'weak' because its field strength over a given distance is typically several orders of magnitude less than that of the strong nuclear force and electromagnetism. the weak interaction is responsible for the existence and structure of atomic nuclei, and is responsible for both the radioactive decay and nuclear fusion of subatomic particles. Most fermions will decay by a weak interaction over time. Important examples include beta decay, and the production of deuterium and then helium from hydrogen that powers the sun's thermonuclear process. Such decay also makes radiocarbon dating possible, as carbon-14 decays through the weak interaction to nitrogen-14. It can also create radio luminescence, commonly used in tritium illumination, and in the related field of betavoltaics. Quarks, which make up composite particles like neutrons and protons, come in six "flavours'' -up, down, strange, charm, top and bottom -which give those composite particles their properties. the weak interaction is unique in that it allows for quarks to swap their flavour for another. For example, during beta minus decay, a down quark decays into a up quark, converting a neutron to a proton. In addition, the weak interaction is the only fundamental interaction that breaks parity-symmetry, and similarly, the only one to break CPsymmetry.

modIfIed SUper SYmmetrY
In modified Super symmetry, the authors already proposed and established that [1-7], 1. Fermion and its corresponding boson mass ratio is close to 2.2627 but not unity.
Calculating the energy of electron in h-atom using modified SUSy physics (1) here, m f represents the mass of fermion and m b represents its corresponding mass of boson and Ψ is the proposed empirical SUSy ratio to be estimated with a suitable theory [1,2] or to be fitted from particle mass data [17]. this idea can be applied to leptons, quarks and nucleons. 2. All the observed mesons are SUSy bosons only [3]. 3 6. Charged higgs boson and the presently believed charged electroweak boson jointly generates a neutral boson of rest energy 126 GeV [1,2,17,18].
In particle physics authors explained the various applications of this modified SUSy in the published papers [1][2][3][4][5][6][7]. In the following section an attempt is made to estimate or fit the total energy of electron in hydrogen atom.

to UnderStAnd tHe totAl energY of eleCtron In HYdrogen Atom
It is noticed that, neutral electroweak boson plays an interesting role in estimating the total energy of electron. It can be understood in the following way. Let E P , E K and E T represent the revolving electron's, potential, kinetic and total energies respectively in any orbit or shell [19,20] . If m p , m e and m z represent the rest masses of proton. electron and neutral weak boson respectively, it is noticed that, . MeV can be considered as the ground state of the charged Pion and can be called as the EPION [3]. Here Calculating the energy of electron in h-atom using modified SUSy physics one may ask the fundamental questions -1) So far why could not we see the boson 9.68 MeV. 2) What is the significance of the proposed 9.68 MeV boson in nuclear physics? Here authors emphasize the fact that, 9.68 MeV can be considered as the ground state nuclear force carrier and plays a crucial role in binding the nucleons. Based on this proposal semi empirical mass formula energy coefficients can be fitted very easily. For detailed information please see section (8). e) At n = 1,2,3... (2n 2 ) represents the total number of electrons in any principle quantum number or quantum shell. Please be noted that, in Hydrogen atom, only one electron may be existing but from 'atomic nature' point of view, (2n 2 ) may be given some role in this relation. From modern theory of Hydrogen atom, maximum number of electrons that can be accommodated in any principal quantum shell are (2n 2 ) where n=1,2,3. This proposal can be reinterpreted as follows: In Hydrogen atom, in n principal quantum shell, electron can exist in (2n 2 ) different states.
By any reason, if kinetic energy is equal to half the magnitude of potential energy, then where n 2 > n 1 . In all these relations one very interesting thing is that, rest mass of proton and rest mass of electron jointly play a crucial role in estimating the revolving electron total energy. Another interesting thing is that in all these relations accuracy mainly depends upon the SUSy number Ψ ( ). If one is willing to think in this direction, Ψ ( ) can also be fitted accurately from these relations also. If so its value will be close to 2.254.

BoHr rAdII In HYdrogen Atom
Now from above expressions, in hydrogen atom, Bohr radii can be expressed as Ψ πε (7) this is a very interesting expression and is very simple to understand and to easy to analyze. From this relation, electron's revolving velocity in any orbit or shell can be expressed as

to fIt And Co-relAte tHe SemI empIrICAl mASS formUlA energY CoeffICIentS WItH tHe propoSed 9.68 meV proton-eleCtron SUSY BoSon
In nuclear physics, the semi-empirical mass formula is used to approximate the mass and various other properties of an atomic nucleus. As the name suggests, it is based partly on theory and partly on empirical measurements [21][22][23]. the theory is based on the liquid drop model proposed by George Gamow, which can account for most of the terms in the formula and gives rough estimates for the values of the coefficients. It was first formulated in 1935 by German physicist Carl Friedrich von Weizsacker, and although refinements have been made to the coefficients over the years, the structure of the formula remains the same today. It gives a good approximation for atomic masses and several other effects, but does not explain the appearance of magic numbers. In modern nuclear physics the corresponding semi empirical relation can be expressed as follows.
here a v = volume energy coefficient, a s is the surface energy coefficient, a c is the coulomb energy coefficient, a a is the asymmetry energy coefficient and a p is the pairing energy coefficient.  (12) here, m n , m p , and m e represent the rest masses of neutron, proton and electron respectively. this is a discovery and is an accurate relation. Let  (14) It can be considered as the ground state nuclear force carrier. With this energy unit SeMF energy coefficients can be fitted in the following semi empirical approach. a) the coulombic energy coefficient can be expressed in the following way.
For light and heavy atoms (including super heavy stable isotopes), protonnucleon stability relation can be expressed as

dISCUSSIon And ConClUSIonS
It is very interesting to that, the above given expressions are very simple to understand and very simple to implement. In physics history it is already well established that, electroweak bosons play a crucial role in neutron -proton decay. Now it is also very clear that, the electroweak neutral boson plays a crucial role in understanding the presently believed electromagnetic interaction that connects proton and the electron. thus in this paper authors made a successful attempt to extend the basic applications of SUSy and electroweak theory to atomic level. One very interesting thing is that, all the proposed expressions are independent of the famous reduced Planck's constant. In this regard with further research and analysis, other hidden secrets of electroweak unification can be understood [24,25] easily. Now the fundamental question to be answered is -how to extend these relations to other atoms where Z > 1?. Authors are working in this new direction and will be discussed in near future. If one is willing to the consider the concepts (Zm p ) and (Zm e ), with reference to the relation (3), where Z > 1, potential energy of one electron can be expressed as follows.